





Network Working Group                                        S. Andersen
Request for Comments: 3951                            Aalborg University
Category: Experimental                                          A. Duric
                                                                   Telio
                                                               H. Astrom
                                                                R. Hagen
                                                               W. Kleijn
                                                               J. Linden
                                                         Global IP Sound
                                                           December 2004


                   Internet Low Bit Rate Codec (iLBC)

Status of this Memo

   This memo defines an Experimental Protocol for the Internet
   community.  It does not specify an Internet standard of any kind.
   Discussion and suggestions for improvement are requested.
   Distribution of this memo is unlimited.

Copyright Notice

   Copyright (C) The Internet Society (2004).

Abstract

   This document specifies a speech codec suitable for robust voice
   communication over IP.  The codec is developed by Global IP Sound
   (GIPS).  It is designed for narrow band speech and results in a
   payload bit rate of 13.33 kbit/s for 30 ms frames and 15.20 kbit/s
   for 20 ms frames.  The codec enables graceful speech quality
   degradation in the case of lost frames, which occurs in connection
   with lost or delayed IP packets.

















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Table of Contents

   1.  Introduction . . . . . . . . . . . . . . . . . . . . . . . . .  4
   2.  Outline of the Codec . . . . . . . . . . . . . . . . . . . . .  5
       2.1.  Encoder. . . . . . . . . . . . . . . . . . . . . . . . .  5
       2.2.  Decoder. . . . . . . . . . . . . . . . . . . . . . . . .  7
   3.  Encoder Principles . . . . . . . . . . . . . . . . . . . . . .  7
       3.1.  Pre-processing . . . . . . . . . . . . . . . . . . . . .  9
       3.2.  LPC Analysis and Quantization. . . . . . . . . . . . . .  9
             3.2.1.  Computation of Autocorrelation Coefficients. . . 10
             3.2.2.  Computation of LPC Coefficients. . . . . . . . . 11
             3.2.3.  Computation of LSF Coefficients from LPC
                     Coefficients . . . . . . . . . . . . . . . . . . 11
             3.2.4.  Quantization of LSF Coefficients . . . . . . . . 12
             3.2.5.  Stability Check of LSF Coefficients. . . . . . . 13
             3.2.6.  Interpolation of LSF Coefficients. . . . . . . . 13
             3.2.7.  LPC Analysis and Quantization for 20 ms Frames . 14
       3.3.  Calculation of the Residual. . . . . . . . . . . . . . . 15
       3.4.  Perceptual Weighting Filter. . . . . . . . . . . . . . . 15
       3.5.  Start State Encoder. . . . . . . . . . . . . . . . . . . 15
             3.5.1.  Start State Estimation . . . . . . . . . . . . . 16
             3.5.2.  All-Pass Filtering and Scale Quantization. . . . 17
             3.5.3.  Scalar Quantization. . . . . . . . . . . . . . . 18
       3.6.  Encoding the Remaining Samples . . . . . . . . . . . . . 19
             3.6.1.  Codebook Memory. . . . . . . . . . . . . . . . . 20
             3.6.2.  Perceptual Weighting of Codebook Memory
                     and Target . . . . . . . . . . . . . . . . . . . 22
             3.6.3.  Codebook Creation. . . . . . . . . . . . . . . . 23
                     3.6.3.1. Creation of a Base Codebook . . . . . . 23
                     3.6.3.2. Codebook Expansion. . . . . . . . . . . 24
                     3.6.3.3. Codebook Augmentation . . . . . . . . . 24
             3.6.4.  Codebook Search. . . . . . . . . . . . . . . . . 26
                     3.6.4.1. Codebook Search at Each Stage . . . . . 26
                     3.6.4.2. Gain Quantization at Each Stage . . . . 27
                     3.6.4.3. Preparation of Target for Next Stage. . 28
       3.7.  Gain Correction Encoding . . . . . . . . . . . . . . . . 28
       3.8.  Bitstream Definition . . . . . . . . . . . . . . . . . . 29
   4.  Decoder Principles . . . . . . . . . . . . . . . . . . . . . . 32
       4.1.  LPC Filter Reconstruction. . . . . . . . . . . . . . . . 33
       4.2.  Start State Reconstruction . . . . . . . . . . . . . . . 33
       4.3.  Excitation Decoding Loop . . . . . . . . . . . . . . . . 34
       4.4.  Multistage Adaptive Codebook Decoding. . . . . . . . . . 35
             4.4.1.  Construction of the Decoded Excitation Signal. . 35
       4.5.  Packet Loss Concealment. . . . . . . . . . . . . . . . . 35
             4.5.1.  Block Received Correctly and Previous Block
                     Also Received. . . . . . . . . . . . . . . . . . 35
             4.5.2.  Block Not Received . . . . . . . . . . . . . . . 36




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             4.5.3.  Block Received Correctly When Previous Block
                     Not Received . . . . . . . . . . . . . . . . . . 36
       4.6.  Enhancement. . . . . . . . . . . . . . . . . . . . . . . 37
             4.6.1.  Estimating the Pitch . . . . . . . . . . . . . . 39
             4.6.2.  Determination of the Pitch-Synchronous
                     Sequences. . . . . . . . . . . . . . . . . . . . 39
             4.6.3.  Calculation of the Smoothed Excitation . . . . . 41
             4.6.4.  Enhancer Criterion . . . . . . . . . . . . . . . 41
             4.6.5.  Enhancing the Excitation . . . . . . . . . . . . 42
       4.7.  Synthesis Filtering. . . . . . . . . . . . . . . . . . . 43
       4.8.  Post Filtering . . . . . . . . . . . . . . . . . . . . . 43
   5.  Security Considerations. . . . . . . . . . . . . . . . . . . . 43
   6.  Evaluation of the iLBC Implementations . . . . . . . . . . . . 43
   7.  References . . . . . . . . . . . . . . . . . . . . . . . . . . 43
       7.1.  Normative References . . . . . . . . . . . . . . . . . . 43
       7.2.  Informative References . . . . . . . . . . . . . . . . . 44
   8.  ACKNOWLEDGEMENTS . . . . . . . . . . . . . . . . . . . . . . . 44
   APPENDIX A: Reference Implementation . . . . . . . . . . . . . . . 45
       A.1.  iLBC_test.c. . . . . . . . . . . . . . . . . . . . . . . 46
       A.2   iLBC_encode.h. . . . . . . . . . . . . . . . . . . . . . 52
       A.3.  iLBC_encode.c. . . . . . . . . . . . . . . . . . . . . . 53
       A.4.  iLBC_decode.h. . . . . . . . . . . . . . . . . . . . . . 63
       A.5.  iLBC_decode.c. . . . . . . . . . . . . . . . . . . . . . 64
       A.6.  iLBC_define.h. . . . . . . . . . . . . . . . . . . . . . 76
       A.7.  constants.h. . . . . . . . . . . . . . . . . . . . . . . 80
       A.8.  constants.c. . . . . . . . . . . . . . . . . . . . . . . 82
       A.9.  anaFilter.h. . . . . . . . . . . . . . . . . . . . . . . 96
       A.10. anaFilter.c. . . . . . . . . . . . . . . . . . . . . . . 97
       A.11. createCB.h . . . . . . . . . . . . . . . . . . . . . . . 98
       A.12. createCB.c . . . . . . . . . . . . . . . . . . . . . . . 99
       A.13. doCPLC.h . . . . . . . . . . . . . . . . . . . . . . . .104
       A.14. doCPLC.c . . . . . . . . . . . . . . . . . . . . . . . .104
       A.15. enhancer.h . . . . . . . . . . . . . . . . . . . . . . .109
       A.16. enhancer.c . . . . . . . . . . . . . . . . . . . . . . .110
       A.17. filter.h . . . . . . . . . . . . . . . . . . . . . . . .123
       A.18. filter.c . . . . . . . . . . . . . . . . . . . . . . . .125
       A.19. FrameClassify.h. . . . . . . . . . . . . . . . . . . . .128
       A.20. FrameClassify.c. . . . . . . . . . . . . . . . . . . . .129
       A.21. gainquant.h. . . . . . . . . . . . . . . . . . . . . . .131
       A.22. gainquant.c. . . . . . . . . . . . . . . . . . . . . . .131
       A.23. getCBvec.h . . . . . . . . . . . . . . . . . . . . . . .134
       A.24. getCBvec.c . . . . . . . . . . . . . . . . . . . . . . .134
       A.25. helpfun.h. . . . . . . . . . . . . . . . . . . . . . . .138
       A.26. helpfun.c. . . . . . . . . . . . . . . . . . . . . . . .140
       A.27. hpInput.h. . . . . . . . . . . . . . . . . . . . . . . .146
       A.28. hpInput.c. . . . . . . . . . . . . . . . . . . . . . . .146
       A.29. hpOutput.h . . . . . . . . . . . . . . . . . . . . . . .148
       A.30. hpOutput.c . . . . . . . . . . . . . . . . . . . . . . .148



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       A.31. iCBConstruct.h . . . . . . . . . . . . . . . . . . . . .149
       A.32. iCBConstruct.c . . . . . . . . . . . . . . . . . . . . .150
       A.33. iCBSearch.h. . . . . . . . . . . . . . . . . . . . . . .152
       A.34. iCBSearch.c. . . . . . . . . . . . . . . . . . . . . . .153
       A.35. LPCdecode.h. . . . . . . . . . . . . . . . . . . . . . .163
       A.36. LPCdecode.c. . . . . . . . . . . . . . . . . . . . . . .164
       A.37. LPCencode.h. . . . . . . . . . . . . . . . . . . . . . .167
       A.38. LPCencode.c. . . . . . . . . . . . . . . . . . . . . . .167
       A.39. lsf.h. . . . . . . . . . . . . . . . . . . . . . . . . .172
       A.40. lsf.c. . . . . . . . . . . . . . . . . . . . . . . . . .172
       A.41. packing.h. . . . . . . . . . . . . . . . . . . . . . . .178
       A.42. packing.c. . . . . . . . . . . . . . . . . . . . . . . .179
       A.43. StateConstructW.h. . . . . . . . . . . . . . . . . . . .182
       A.44. StateConstructW.c. . . . . . . . . . . . . . . . . . . .183
       A.45. StateSearchW.h . . . . . . . . . . . . . . . . . . . . .185
       A.46. StateSearchW.c . . . . . . . . . . . . . . . . . . . . .186
       A.47. syntFilter.h . . . . . . . . . . . . . . . . . . . . . .190
       A.48. syntFilter.c . . . . . . . . . . . . . . . . . . . . . .190
   Authors' Addresses . . . . . . . . . . . . . . . . . . . . . . . .192
   Full Copyright Statement . . . . . . . . . . . . . . . . . . . . .194

1.  Introduction

   This document contains the description of an algorithm for the coding
   of speech signals sampled at 8 kHz.  The algorithm, called iLBC, uses
   a block-independent linear-predictive coding (LPC) algorithm and has
   support for two basic frame lengths: 20 ms at 15.2 kbit/s and 30 ms
   at 13.33 kbit/s.  When the codec operates at block lengths of 20 ms,
   it produces 304 bits per block, which SHOULD be packetized as in [1].
   Similarly, for block lengths of 30 ms it produces 400 bits per block,
   which SHOULD be packetized as in [1].  The two modes for the
   different frame sizes operate in a very similar way.  When they
   differ it is explicitly stated in the text, usually with the notation
   x/y, where x refers to the 20 ms mode and y refers to the 30 ms mode.

   The described algorithm results in a speech coding system with a
   controlled response to packet losses similar to what is known from
   pulse code modulation (PCM) with packet loss concealment (PLC), such
   as the ITU-T G.711 standard [4], which operates at a fixed bit rate
   of 64 kbit/s.  At the same time, the described algorithm enables
   fixed bit rate coding with a quality-versus-bit rate tradeoff close
   to state-of-the-art.  A suitable RTP payload format for the iLBC
   codec is specified in [1].

   Some of the applications for which this coder is suitable are real
   time communications such as telephony and videoconferencing,
   streaming audio, archival, and messaging.




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   Cable Television Laboratories (CableLabs(R)) has adopted iLBC as a
   mandatory PacketCable(TM) audio codec standard for VoIP over Cable
   applications [3].

   This document is organized as follows.  Section 2 gives a brief
   outline of the codec.  The specific encoder and decoder algorithms
   are explained in sections 3 and 4, respectively.  Appendix A provides
   a c-code reference implementation.

   The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",
   "SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this
   document are to be interpreted as described in BCP 14, RFC 2119 [2].

2.  Outline of the Codec

   The codec consists of an encoder and a decoder as described in
   sections 2.1 and 2.2, respectively.

   The essence of the codec is LPC and block-based coding of the LPC
   residual signal.  For each 160/240 (20 ms/30 ms) sample block, the
   following major steps are performed: A set of LPC filters are
   computed, and the speech signal is filtered through them to produce
   the residual signal.  The codec uses scalar quantization of the
   dominant part, in terms of energy, of the residual signal for the
   block.  The dominant state is of length 57/58 (20 ms/30 ms) samples
   and forms a start state for dynamic codebooks constructed from the
   already coded parts of the residual signal.  These dynamic codebooks
   are used to code the remaining parts of the residual signal.  By this
   method, coding independence between blocks is achieved, resulting in
   elimination of propagation of perceptual degradations due to packet
   loss.  The method facilitates high-quality packet loss concealment
   (PLC).

2.1.  Encoder

   The input to the encoder SHOULD be 16 bit uniform PCM sampled at 8
   kHz.  It SHOULD be partitioned into blocks of BLOCKL=160/240 samples
   for the 20/30 ms frame size.  Each block is divided into NSUB=4/6
   consecutive sub-blocks of SUBL=40 samples each.  For 30 ms frame
   size, the encoder performs two LPC_FILTERORDER=10 linear-predictive
   coding (LPC) analyses.  The first analysis applies a smooth window
   centered over the second sub-block and extending to the middle of the
   fifth sub-block.  The second LPC analysis applies a smooth asymmetric
   window centered over the fifth sub-block and extending to the end of
   the sixth sub-block.  For 20 ms frame size, one LPC_FILTERORDER=10
   linear-predictive coding (LPC) analysis is performed with a smooth
   window centered over the third sub-frame.




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   For each of the LPC analyses, a set of line-spectral frequencies
   (LSFs) are obtained, quantized, and interpolated to obtain LSF
   coefficients for each sub-block.  Subsequently, the LPC residual is
   computed by using the quantized and interpolated LPC analysis
   filters.

   The two consecutive sub-blocks of the residual exhibiting the maximal
   weighted energy are identified.  Within these two sub-blocks, the
   start state (segment) is selected from two choices: the first 57/58
   samples or the last 57/58 samples of the two consecutive sub-blocks.
   The selected segment is the one of higher energy.  The start state is
   encoded with scalar quantization.

   A dynamic codebook encoding procedure is used to encode 1) the 23/22
   (20 ms/30 ms) remaining samples in the two sub-blocks containing the
   start state; 2) the sub-blocks after the start state in time; and 3)
   the sub-blocks before the start state in time.  Thus, the encoding
   target can be either the 23/22 samples remaining of the two sub-
   blocks containing the start state or a 40-sample sub-block.  This
   target can consist of samples indexed forward in time or backward in
   time, depending on the location of the start state.

   The codebook coding is based on an adaptive codebook built from a
   codebook memory that contains decoded LPC excitation samples from the
   already encoded part of the block.  These samples are indexed in the
   same time direction as the target vector, ending at the sample
   instant prior to the first sample instant represented in the target
   vector.  The codebook is used in CB_NSTAGES=3 stages in a successive
   refinement approach, and the resulting three code vector gains are
   encoded with 5-, 4-, and 3-bit scalar quantization, respectively.

   The codebook search method employs noise shaping derived from the LPC
   filters, and the main decision criterion is to minimize the squared
   error between the target vector and the code vectors.  Each code
   vector in this codebook comes from one of CB_EXPAND=2 codebook
   sections.  The first section is filled with delayed, already encoded
   residual vectors.  The code vectors of the second codebook section
   are constructed by predefined linear combinations of vectors in the
   first section of the codebook.

   As codebook encoding with squared-error matching is known to produce
   a coded signal of less power than does the scalar quantized start
   state signal, a gain re-scaling method is implemented by a refined
   search for a better set of codebook gains in terms of power matching
   after encoding.  This is done by searching for a higher value of the
   gain factor for the first stage codebook, as the subsequent stage
   codebook gains are scaled by the first stage gain.




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2.2.  Decoder

   Typically for packet communications, a jitter buffer placed at the
   receiving end decides whether the packet containing an encoded signal
   block has been received or lost.  This logic is not part of the codec
   described here.  For each encoded signal block received the decoder
   performs a decoding.  For each lost signal block, the decoder
   performs a PLC operation.

   The decoding for each block starts by decoding and interpolating the
   LPC coefficients.  Subsequently the start state is decoded.

   For codebook-encoded segments, each segment is decoded by
   constructing the three code vectors given by the received codebook
   indices in the same way that the code vectors were constructed in the
   encoder.  The three gain factors are also decoded and the resulting
   decoded signal is given by the sum of the three codebook vectors
   scaled with respective gain.

   An enhancement algorithm is applied to the reconstructed excitation
   signal.  This enhancement augments the periodicity of voiced speech
   regions.  The enhancement is optimized under the constraint that the
   modification signal (defined as the difference between the enhanced
   excitation and the excitation signal prior to enhancement) has a
   short-time energy that does not exceed a preset fraction of the
   short-time energy of the excitation signal prior to enhancement.

   A packet loss concealment (PLC) operation is easily embedded in the
   decoder.  The PLC operation can, e.g., be based on repeating LPC
   filters and obtaining the LPC residual signal by using a long-term
   prediction estimate from previous residual blocks.

3.  Encoder Principles

   The following block diagram is an overview of all the components of
   the iLBC encoding procedure.  The description of the blocks contains
   references to the section where that particular procedure is further
   described.













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             +-----------+    +---------+    +---------+
   speech -> | 1. Pre P  | -> | 2. LPC  | -> | 3. Ana  | ->
             +-----------+    +---------+    +---------+

             +---------------+   +--------------+
          -> | 4. Start Sel  | ->| 5. Scalar Qu | ->
             +---------------+   +--------------+

             +--------------+    +---------------+
          -> |6. CB Search  | -> | 7. Packetize  | -> payload
          |  +--------------+ |  +---------------+
          ----<---------<------
       sub-frame 0..2/4 (20 ms/30 ms)

   Figure 3.1. Flow chart of the iLBC encoder

   1. Pre-process speech with a HP filter, if needed (section 3.1).

   2. Compute LPC parameters, quantize, and interpolate (section 3.2).

   3. Use analysis filters on speech to compute residual (section 3.3).

   4. Select position of 57/58-sample start state (section 3.5).

   5. Quantize the 57/58-sample start state with scalar quantization
      (section 3.5).

   6. Search the codebook for each sub-frame.  Start with 23/22 sample
      block, then encode sub-blocks forward in time, and then encode
      sub-blocks backward in time.  For each block, the steps in Figure
      3.4 are performed (section 3.6).

   7. Packetize the bits into the payload specified in Table 3.2.

   The input to the encoder SHOULD be 16-bit uniform PCM sampled at 8
   kHz.  Also it SHOULD be partitioned into blocks of BLOCKL=160/240
   samples.  Each block input to the encoder is divided into NSUB=4/6
   consecutive sub-blocks of SUBL=40 samples each.













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             0        39        79       119       159
             +---------------------------------------+
             |    1    |    2    |    3    |    4    |
             +---------------------------------------+
                            20 ms frame

   0        39        79       119       159       199       239
   +-----------------------------------------------------------+
   |    1    |    2    |    3    |    4    |    5    |    6    |
   +-----------------------------------------------------------+
                                  30 ms frame
   Figure 3.2. One input block to the encoder for 20 ms (with four sub-
   frames) and 30 ms (with six sub-frames).

3.1.  Pre-processing

   In some applications, the recorded speech signal contains DC level
   and/or 50/60 Hz noise.  If these components have not been removed
   prior to the encoder call, they should be removed by a high-pass
   filter.  A reference implementation of this, using a filter with a
   cutoff frequency of 90 Hz, can be found in Appendix A.28.

3.2.  LPC Analysis and Quantization

   The input to the LPC analysis module is a possibly high-pass filtered
   speech buffer, speech_hp, that contains 240/300 (LPC_LOOKBACK +
   BLOCKL = 80/60 + 160/240 = 240/300) speech samples, where samples 0
   through 79/59 are from the previous block and samples 80/60 through
   239/299 are from the current block.  No look-ahead into the next
   block is used.  For the very first block processed, the look-back
   samples are assumed to be zeros.

   For each input block, the LPC analysis calculates one/two set(s) of
   LPC_FILTERORDER=10 LPC filter coefficients using the autocorrelation
   method and the Levinson-Durbin recursion.  These coefficients are
   converted to the Line Spectrum Frequency representation.  In the 20
   ms case, the single lsf set represents the spectral characteristics
   as measured at the center of the third sub-block.  For 30 ms frames,
   the first set, lsf1, represents the spectral properties of the input
   signal at the center of the second sub-block, and the other set,
   lsf2, represents the spectral characteristics as measured at the
   center of the fifth sub-block.  The details of the computation for 30
   ms frames are described in sections 3.2.1 through 3.2.6.  Section
   3.2.7 explains how the LPC Analysis and Quantization differs for 20
   ms frames.






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3.2.1.  Computation of Autocorrelation Coefficients

   The first step in the LPC analysis procedure is to calculate
   autocorrelation coefficients by using windowed speech samples.  This
   windowing is the only difference in the LPC analysis procedure for
   the two sets of coefficients.  For the first set, a 240-sample-long
   standard symmetric Hanning window is applied to samples 0 through 239
   of the input data.  The first window, lpc_winTbl, is defined as

      lpc_winTbl[i]= 0.5 * (1.0 - cos((2*PI*(i+1))/(BLOCKL+1)));
               i=0,...,119
      lpc_winTbl[i] = winTbl[BLOCKL - i - 1]; i=120,...,239

   The windowed speech speech_hp_win1 is then obtained by multiplying
   the first 240 samples of the input speech buffer with the window
   coefficients:

      speech_hp_win1[i] = speech_hp[i] * lpc_winTbl[i];
               i=0,...,BLOCKL-1

   From these 240 windowed speech samples, 11 (LPC_FILTERORDER + 1)
   autocorrelation coefficients, acf1, are calculated:

      acf1[lag] += speech_hp_win1[n] * speech_hp_win1[n + lag];
               lag=0,...,LPC_FILTERORDER; n=0,...,BLOCKL-lag-1

   In order to make the analysis more robust against numerical precision
   problems, a spectral smoothing procedure is applied by windowing the
   autocorrelation coefficients before the LPC coefficients are
   computed.  Also, a white noise floor is added to the autocorrelation
   function by multiplying coefficient zero by 1.0001 (40dB below the
   energy of the windowed speech signal).  These two steps are
   implemented by multiplying the autocorrelation coefficients with the
   following window:

      lpc_lagwinTbl[0] = 1.0001;
      lpc_lagwinTbl[i] = exp(-0.5 * ((2 * PI * 60.0 * i) /FS)^2);
               i=1,...,LPC_FILTERORDER
               where FS=8000 is the sampling frequency

   Then, the windowed acf function acf1_win is obtained by

      acf1_win[i] = acf1[i] * lpc_lagwinTbl[i];
               i=0,...,LPC_FILTERORDER

   The second set of autocorrelation coefficients, acf2_win, are
   obtained in a similar manner.  The window, lpc_asymwinTbl, is applied
   to samples 60 through 299, i.e., the entire current block.  The



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   window consists of two segments, the first (samples 0 to 219) being
   half a Hanning window with length 440 and the second a quarter of a
   cycle of a cosine wave.  By using this asymmetric window, an LPC
   analysis centered in the fifth sub-block is obtained without the need
   for any look-ahead, which would add delay.  The asymmetric window is
   defined as

      lpc_asymwinTbl[i] = (sin(PI * (i + 1) / 441))^2; i=0,...,219

      lpc_asymwinTbl[i] = cos((i - 220) * PI / 40); i=220,...,239

   and the windowed speech is computed by

      speech_hp_win2[i] = speech_hp[i + LPC_LOOKBACK] *
               lpc_asymwinTbl[i];  i=0,....BLOCKL-1

   The windowed autocorrelation coefficients are then obtained in
   exactly the same way as for the first analysis instance.

   The generation of the windows lpc_winTbl, lpc_asymwinTbl, and
   lpc_lagwinTbl are typically done in advance, and the arrays are
   stored in ROM rather than repeating the calculation for every block.

3.2.2.  Computation of LPC Coefficients

   From the 2 x 11 smoothed autocorrelation coefficients, acf1_win and
   acf2_win, the 2 x 11 LPC coefficients, lp1 and lp2, are calculated
   in the same way for both analysis locations by using the well known
   Levinson-Durbin recursion.  The first LPC coefficient is always 1.0,
   resulting in ten unique coefficients.

   After determining the LPC coefficients, a bandwidth expansion
   procedure is applied to smooth the spectral peaks in the
   short-term spectrum.  The bandwidth addition is obtained by the
   following modification of the LPC coefficients:

      lp1_bw[i] = lp1[i] * chirp^i; i=0,...,LPC_FILTERORDER
      lp2_bw[i] = lp2[i] * chirp^i; i=0,...,LPC_FILTERORDER

   where "chirp" is a real number between 0 and 1.  It is RECOMMENDED to
   use a value of 0.9.

3.2.3.  Computation of LSF Coefficients from LPC Coefficients

   Thus far, two sets of LPC coefficients that represent the short-term
   spectral characteristics of the speech signal for two different time
   locations within the current block have been determined.  These
   coefficients SHOULD be quantized and interpolated.  Before this is



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   done, it is advantageous to convert the LPC parameters into another
   type of representation called Line Spectral Frequencies (LSF).  The
   LSF parameters are used because they are better suited for
   quantization and interpolation than the regular LPC coefficients.
   Many computationally efficient methods for calculating the LSFs from
   the LPC coefficients have been proposed in the literature.  The
   detailed implementation of one applicable method can be found in
   Appendix A.26.  The two arrays of LSF coefficients obtained, lsf1 and
   lsf2, are of dimension 10 (LPC_FILTERORDER).

3.2.4.  Quantization of LSF Coefficients

   Because the LPC filters defined by the two sets of LSFs are also
   needed in the decoder, the LSF parameters need to be quantized and
   transmitted as side information.  The total number of bits required
   to represent the quantization of the two LSF representations for one
   block of speech is 40, with 20 bits used for each of lsf1 and lsf2.

   For computational and storage reasons, the LSF vectors are quantized
   using three-split vector quantization (VQ).  That is, the LSF vectors
   are split into three sub-vectors that are each quantized with a
   regular VQ.  The quantized versions of lsf1 and lsf2, qlsf1 and
   qlsf2, are obtained by using the same memoryless split VQ.  The
   length of each of these two LSF vectors is 10, and they are split
   into three sub-vectors containing 3, 3, and 4 values, respectively.

   For each of the sub-vectors, a separate codebook of quantized values
   has been designed with a standard VQ training method for a large
   database containing speech from a large number of speakers recorded
   under various conditions.  The size of each of the three codebooks
   associated with the split definitions above is

      int size_lsfCbTbl[LSF_NSPLIT] = {64,128,128};

   The actual values of the vector quantization codebook that must be
   used can be found in the reference code of Appendix A.  Both sets of
   LSF coefficients, lsf1 and lsf2, are quantized with a standard
   memoryless split vector quantization (VQ) structure using the squared
   error criterion in the LSF domain.  The split VQ quantization
   consists of the following steps:

   1) Quantize the first three LSF coefficients (1 - 3) with a VQ
      codebook of size 64.
   2) Quantize the next three LSF coefficients 4 - 6 with VQ a codebook
      of size 128.
   3) Quantize the last four LSF coefficients (7 - 10) with a VQ
      codebook of size 128.




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   This procedure, repeated for lsf1 and lsf2, gives six quantization
   indices and the quantized sets of LSF coefficients qlsf1 and qlsf2.
   Each set of three indices is encoded with 6 + 7 + 7 = 20 bits.  The
   total number of bits used for LSF quantization in a block is thus 40
   bits.

3.2.5.  Stability Check of LSF Coefficients

   The LSF representation of the LPC filter has the convenient property
   that the coefficients are ordered by increasing value, i.e., lsf(n-1)
   < lsf(n), 0 < n < 10, if the corresponding synthesis filter is
   stable.  As we are employing a split VQ scheme, it is possible that
   at the split boundaries the LSF coefficients are not ordered
   correctly and hence that the corresponding LP filter is unstable.  To
   ensure that the filter used is stable, a stability check is performed
   for the quantized LSF vectors.  If it turns out that the coefficients
   are not ordered appropriately (with a safety margin of 50 Hz to
   ensure that formant peaks are not too narrow), they will be moved
   apart.  The detailed method for this can be found in Appendix A.40.
   The same procedure is performed in the decoder.  This ensures that
   exactly the same LSF representations are used in both encoder and
   decoder.

3.2.6.  Interpolation of LSF Coefficients

   From the two sets of LSF coefficients that are computed for each
   block of speech, different LSFs are obtained for each sub-block by
   means of interpolation.  This procedure is performed for the original
   LSFs (lsf1 and lsf2), as well as the quantized versions qlsf1 and
   qlsf2, as both versions are used in the encoder.  Here follows a
   brief summary of the interpolation scheme; the details are found in
   the c-code of Appendix A.  In the first sub-block, the average of the
   second LSF vector from the previous block and the first LSF vector in
   the current block is used.  For sub-blocks two through five, the LSFs
   used are obtained by linear interpolation from lsf1 (and qlsf1) to
   lsf2 (and qlsf2), with lsf1 used in sub-block two and lsf2 in sub-
   block five.  In the last sub-block, lsf2 is used.  For the very first
   block it is assumed that the last LSF vector of the previous block is
   equal to a predefined vector, lsfmeanTbl, obtained by calculating the
   mean LSF vector of the LSF design database.

   lsfmeanTbl[LPC_FILTERORDER] = {0.281738, 0.445801, 0.663330,
                  0.962524, 1.251831, 1.533081, 1.850586, 2.137817,
                  2.481445, 2.777344}







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   The interpolation method is standard linear interpolation in the LSF
   domain.  The interpolated LSF values are converted to LPC
   coefficients for each sub-block.  The unquantized and quantized LPC
   coefficients form two sets of filters respectively.  The unquantized
   analysis filter for sub-block k is defined as follows

                ___
                \
      Ak(z)= 1 + > ak(i)*z^(-i)
                /__
             i=1...LPC_FILTERORDER

   The quantized analysis filter for sub-block k is defined as follows
                 ___
                 \
      A~k(z)= 1 + > a~k(i)*z^(-i)
                 /__
             i=1...LPC_FILTERORDER

   A reference implementation of the lsf encoding is given in Appendix
   A.38.  A reference implementation of the corresponding decoding can
   be found in Appendix A.36.

3.2.7.  LPC Analysis and Quantization for 20 ms Frames

   As previously stated, the codec only calculates one set of LPC
   parameters for the 20 ms frame size as opposed to two sets for 30 ms
   frames.  A single set of autocorrelation coefficients is calculated
   on the LPC_LOOKBACK + BLOCKL = 80 + 160 = 240 samples.  These samples
   are windowed with the asymmetric window lpc_asymwinTbl, centered over
   the third sub-frame, to form speech_hp_win.  Autocorrelation
   coefficients, acf, are calculated on the 240 samples in speech_hp_win
   and then windowed exactly as in section 3.2.1 (resulting in
   acf_win).

   This single set of windowed autocorrelation coefficients is used to
   calculate LPC coefficients, LSF coefficients, and quantized LSF
   coefficients in exactly the same manner as in sections 3.2.3 through
   3.2.4.  As for the 30 ms frame size, the ten LSF coefficients are
   divided into three sub-vectors of size 3, 3, and 4 and quantized by
   using the same scheme and codebook as in section 3.2.4 to finally get
   3 quantization indices.  The quantized LSF coefficients are
   stabilized with the algorithm described in section 3.2.5.

   From the set of LSF coefficients computed for this block and those
   from the previous block, different LSFs are obtained for each sub-
   block by means of interpolation.  The interpolation is done linearly
   in the LSF domain over the four sub-blocks, so that the n-th sub-



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   frame uses the weight (4-n)/4 for the LSF from old frame and the
   weight n/4 of the LSF from the current frame.  For the very first
   block the mean LSF, lsfmeanTbl, is used as the LSF from the previous
   block.  Similarly as seen in section 3.2.6, both unquantized, A(z),
   and quantized, A~(z), analysis filters are calculated for each of the
   four sub-blocks.

3.3.  Calculation of the Residual

   The block of speech samples is filtered by the quantized and
   interpolated LPC analysis filters to yield the residual signal.  In
   particular, the corresponding LPC analysis filter for each 40 sample
   sub-block is used to filter the speech samples for the same sub-
   block.  The filter memory at the end of each sub-block is carried
   over to the LPC filter of the next sub-block.  The signal at the
   output of each LP analysis filter constitutes the residual signal for
   the corresponding sub-block.

   A reference implementation of the LPC analysis filters is given in
   Appendix A.10.

3.4.  Perceptual Weighting Filter

   In principle any good design of a perceptual weighting filter can be
   applied in the encoder without compromising this codec definition.
   However, it is RECOMMENDED to use the perceptual weighting filter Wk
   for sub-block k specified below:

      Wk(z)=1/Ak(z/LPC_CHIRP_WEIGHTDENUM), where
                               LPC_CHIRP_WEIGHTDENUM = 0.4222

   This is a simple design with low complexity that is applied in the
   LPC residual domain.  Here Ak(z) is the filter obtained for sub-block
   k from unquantized but interpolated LSF coefficients.

3.5.  Start State Encoder

   The start state is quantized by using a common 6-bit scalar quantizer
   for the block and a 3-bit scalar quantizer operating on scaled
   samples in the weighted speech domain.  In the following we describe
   the state encoding in greater detail.










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3.5.1.  Start State Estimation

   The two sub-blocks containing the start state are determined by
   finding the two consecutive sub-blocks in the block having the
   highest power.  Advantageously, down-weighting is used in the
   beginning and end of the sub-frames, i.e., the following measure is
   computed (NSUB=4/6 for 20/30 ms frame size):

      nsub=1,...,NSUB-1
      ssqn[nsub] = 0.0;
      for (i=(nsub-1)*SUBL; i<(nsub-1)*SUBL+5; i++)
               ssqn[nsub] += sampEn_win[i-(nsub-1)*SUBL]*
                                 residual[i]*residual[i];
      for (i=(nsub-1)*SUBL+5; i<(nsub+1)*SUBL-5; i++)
               ssqn[nsub] += residual[i]*residual[i];
      for (i=(nsub+1)*SUBL-5; i<(nsub+1)*SUBL; i++)
               ssqn[nsub] += sampEn_win[(nsub+1)*SUBL-i-1]*
                                 residual[i]*residual[i];

   where sampEn_win[5]={1/6, 2/6, 3/6, 4/6, 5/6}; MAY be used.  The
   sub-frame number corresponding to the maximum value of
   ssqEn_win[nsub-1]*ssqn[nsub] is selected as the start state
   indicator.  A weighting of ssqEn_win[]={0.8,0.9,1.0,0.9,0.8} for 30
   ms frames and ssqEn_win[]={0.9,1.0,0.9} for 20 ms frames; MAY
   advantageously be used to bias the start state towards the middle of
   the frame.

   For 20 ms frames there are three possible positions for the two-sub-
   block length maximum power segment; the start state position is
   encoded with 2 bits.  The start state position, start, MUST be
   encoded as

      start=1: start state in sub-frame 0 and 1
      start=2: start state in sub-frame 1 and 2
      start=3: start state in sub-frame 2 and 3

   For 30 ms frames there are five possible positions of the two-sub-
   block length maximum power segment, the start state position is
   encoded with 3 bits.  The start state position, start, MUST be
   encoded as

      start=1: start state in sub-frame 0 and 1
      start=2: start state in sub-frame 1 and 2
      start=3: start state in sub-frame 2 and 3
      start=4: start state in sub-frame 3 and 4
      start=5: start state in sub-frame 4 and 5





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   Hence, in both cases, index 0 is not used.  In order to shorten the
   start state for bit rate efficiency, the start state is brought down
   to STATE_SHORT_LEN=57 samples for 20 ms frames and STATE_SHORT_LEN=58
   samples for 30 ms frames.  The power of the first 23/22 and last
   23/22 samples of the two sub-frame blocks identified above is
   computed as the sum of the squared signal sample values, and the
   23/22-sample segment with the lowest power is excluded from the start
   state.  One bit is transmitted to indicate which of the two possible
   57/58 sample segments is used.  The start state position within the
   two sub-frames determined above, state_first, MUST be encoded as

      state_first=1: start state is first STATE_SHORT_LEN samples
      state_first=0: start state is last STATE_SHORT_LEN samples

3.5.2.  All-Pass Filtering and Scale Quantization

   The block of residual samples in the start state is first filtered by
   an all-pass filter with the quantized LPC coefficients as denominator
   and reversed quantized LPC coefficients as numerator.  The purpose of
   this phase-dispersion filter is to get a more even distribution of
   the sample values in the residual signal.  The filtering is performed
   by circular convolution, where the initial filter memory is set to
   zero.

      res(0..(STATE_SHORT_LEN-1))   = uncoded start state residual
      res((STATE_SHORT_LEN)..(2*STATE_SHORT_LEN-1)) = 0

      Pk(z) = A~rk(z)/A~k(z), where
                                   ___
                                   \
      A~rk(z)= z^(-LPC_FILTERORDER)+>a~k(i+1)*z^(i-(LPC_FILTERORDER-1))
                                   /__
                               i=0...(LPC_FILTERORDER-1)

      and A~k(z) is taken from the block where the start state begins

      res -> Pk(z) -> filtered

      ccres(k) = filtered(k) + filtered(k+STATE_SHORT_LEN),
                                        k=0..(STATE_SHORT_LEN-1)

   The all-pass filtered block is searched for its largest magnitude
   sample.  The 10-logarithm of this magnitude is quantized with a 6-bit
   quantizer, state_frgqTbl, by finding the nearest representation.







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   This results in an index, idxForMax, corresponding to a quantized
   value, qmax.  The all-pass filtered residual samples in the block are
   then multiplied with a scaling factor scal=4.5/(10^qmax) to yield
   normalized samples.

   state_frgqTbl[64] = {1.000085, 1.071695, 1.140395, 1.206868,
                  1.277188, 1.351503, 1.429380, 1.500727, 1.569049,
                  1.639599, 1.707071, 1.781531, 1.840799, 1.901550,
                  1.956695, 2.006750, 2.055474, 2.102787, 2.142819,
                  2.183592, 2.217962, 2.257177, 2.295739, 2.332967,
                  2.369248, 2.402792, 2.435080, 2.468598, 2.503394,
                  2.539284, 2.572944, 2.605036, 2.636331, 2.668939,
                  2.698780, 2.729101, 2.759786, 2.789834, 2.818679,
                  2.848074, 2.877470, 2.906899, 2.936655, 2.967804,
                  3.000115, 3.033367, 3.066355, 3.104231, 3.141499,
                  3.183012, 3.222952, 3.265433, 3.308441, 3.350823,
                  3.395275, 3.442793, 3.490801, 3.542514, 3.604064,
                  3.666050, 3.740994, 3.830749, 3.938770, 4.101764}

3.5.3.  Scalar Quantization

   The normalized samples are quantized in the perceptually weighted
   speech domain by a sample-by-sample scalar DPCM quantization as
   depicted in Figure 3.3.  Each sample in the block is filtered by a
   weighting filter Wk(z), specified in section 3.4, to form a weighted
   speech sample x[n].  The target sample d[n] is formed by subtracting
   a predicted sample y[n], where the prediction filter is given by

           Pk(z) = 1 - 1 / Wk(z).

               +-------+  x[n] +    d[n] +-----------+ u[n]
   residual -->| Wk(z) |-------->(+)---->| Quantizer |------> quantized
               +-------+       - /|\     +-----------+    |   residual
                                  |                      \|/
                             y[n] +--------------------->(+)
                                  |                       |
                                  |        +------+       |
                                  +--------| Pk(z)|<------+
                                           +------+

   Figure 3.3.  Quantization of start state samples by DPCM in weighted
   speech domain.

   The coded state sample u[n] is obtained by quantizing d[n] with a 3-
   bit quantizer with quantization table state_sq3Tbl.

   state_sq3Tbl[8] = {-3.719849, -2.177490, -1.130005, -0.309692,
                  0.444214, 1.329712, 2.436279, 3.983887}



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   The quantized samples are transformed back to the residual domain by
   1) scaling with 1/scal; 2) time-reversing the scaled samples; 3)
   filtering the time-reversed samples by the same all-pass filter, as
   in section 3.5.2, by using circular convolution; and 4) time-
   reversing the filtered samples.  (More detail is in section 4.2.)

   A reference implementation of the start-state encoding can be found
   in Appendix A.46.

3.6.  Encoding the Remaining Samples

   A dynamic codebook is used to encode 1) the 23/22 remaining samples
   in the two sub-blocks containing the start state; 2) the sub-blocks
   after the start state in time; and 3) the sub-blocks before the start
   state in time.  Thus, the encoding target can be either the 23/22
   samples remaining of the 2 sub-blocks containing the start state, or
   a 40-sample sub-block.  This target can consist of samples that are
   indexed forward in time or backward in time, depending on the
   location of the start state.  The length of the target is denoted by
   lTarget.

   The coding is based on an adaptive codebook that is built from a
   codebook memory that contains decoded LPC excitation samples from the
   already encoded part of the block.  These samples are indexed in the
   same time direction as is the target vector and end at the sample
   instant prior to the first sample instant represented in the target
   vector.  The codebook memory has length lMem, which is equal to
   CB_MEML=147 for the two/four 40-sample sub-blocks and 85 for the
   23/22-sample sub-block.

   The following figure shows an overview of the encoding procedure.

         +------------+    +---------------+    +-------------+
      -> | 1. Decode  | -> | 2. Mem setup  | -> | 3. Perc. W. | ->
         +------------+    +---------------+    +-------------+

         +------------+    +-----------------+
      -> | 4. Search  | -> | 5. Upd. Target  | ------------------>
       | +------------+    +------------------ |
       ----<-------------<-----------<----------
                     stage=0..2

         +----------------+
      -> | 6. Recalc G[0] | ---------------> gains and CB indices
         +----------------+

   Figure 3.4.  Flow chart of the codebook search in the iLBC encoder.




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   1. Decode the part of the residual that has been encoded so far,
      using the codebook without perceptual weighting.

   2. Set up the memory by taking data from the decoded residual.  This
      memory is used to construct codebooks.  For blocks preceding the
      start state, both the decoded residual and the target are time
      reversed (section 3.6.1).
   3. Filter the memory + target with the perceptual weighting filter
      (section 3.6.2).

   4. Search for the best match between the target and the codebook
      vector.  Compute the optimal gain for this match and quantize that
      gain (section 3.6.4).

   5. Update the perceptually weighted target by subtracting the
      contribution from the selected codebook vector from the
      perceptually weighted memory (quantized gain times selected
      vector).  Repeat 4 and 5 for the two additional stages.

   6. Calculate the energy loss due to encoding of the residual.  If
      needed, compensate for this loss by an upscaling and
      requantization of the gain for the first stage (section 3.7).

   The following sections provide an in-depth description of the
   different blocks of Figure 3.4.

3.6.1.  Codebook Memory

   The codebook memory is based on the already encoded sub-blocks, so
   the available data for encoding increases for each new sub-block that
   has been encoded.  Until enough sub-blocks have been encoded to fill
   the codebook memory with data, it is padded with zeros.  The
   following figure shows an example of the order in which the sub-
   blocks are encoded for the 30 ms frame size if the start state is
   located in the last 58 samples of sub-block 2 and 3.

   +-----------------------------------------------------+
   |  5     | 1  |///|////////|    2   |    3   |    4   |
   +-----------------------------------------------------+

   Figure 3.5.  The order from 1 to 5 in which the sub-blocks are
   encoded.  The slashed area is the start state.









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   The first target sub-block to be encoded is number 1, and the
   corresponding codebook memory is shown in the following figure.  As
   the target vector comes before the start state in time, the codebook
   memory and target vector are time reversed; thus, after the block has
   been time reversed the search algorithm can be reused.  As only the
   start state has been encoded so far, the last samples of the codebook
   memory are padded with zeros.

   +-------------------------
   |zeros|\\\\\\\\|\\\\|  1 |
   +-------------------------

   Figure 3.6.  The codebook memory, length lMem=85 samples, and the
   target vector 1, length 22 samples.

   The next step is to encode sub-block 2 by using the memory that now
   has increased since sub-block 1 has been encoded.  The following
   figure shows the codebook memory for encoding of sub-block 2.

   +-----------------------------------
   | zeros | 1  |///|////////|    2   |
   +-----------------------------------

   Figure 3.7.  The codebook memory, length lMem=147 samples, and the
   target vector 2, length 40 samples.

   The next step is to encode sub-block 3 by using the memory which has
   been increased yet again since sub-blocks 1 and 2 have been encoded,
   but the sub-block still has to be padded with a few zeros.  The
   following figure shows the codebook memory for encoding of sub-block
   3.

   +------------------------------------------
   |zeros| 1  |///|////////|    2   |   3    |
   +------------------------------------------

   Figure 3.8.  The codebook memory, length lMem=147 samples, and the
   target vector 3, length 40 samples.

   The next step is to encode sub-block 4 by using the memory which now
   has increased yet again since sub-blocks 1, 2, and 3 have been
   encoded.  This time, the memory does not have to be padded with
   zeros.  The following figure shows the codebook memory for encoding
   of sub-block 4.







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   +------------------------------------------
   |1|///|////////|    2   |   3    |   4    |
   +------------------------------------------

   Figure 3.9.  The codebook memory, length lMem=147 samples, and the
   target vector 4, length 40 samples.

   The final target sub-block to be encoded is number 5, and the
   following figure shows the corresponding codebook memory.  As the
   target vector comes before the start state in time, the codebook
   memory and target vector are time reversed.

   +-------------------------------------------
   |  3  |   2    |\\\\\\\\|\\\\|  1 |   5    |
   +-------------------------------------------

   Figure 3.10.  The codebook memory, length lMem=147 samples, and the
   target vector 5, length 40 samples.

   For the case of 20 ms frames, the encoding procedure looks almost
   exactly the same.  The only difference is that the size of the start
   state is 57 samples and that there are only three sub-blocks to be
   encoded.  The encoding order is the same as above, starting with the
   23-sample target and then encoding the two remaining 40-sample sub-
   blocks, first going forward in time and then going backward in time
   relative to the start state.

3.6.2.  Perceptual Weighting of Codebook Memory and Target

   To provide a perceptual weighting of the coding error, a
   concatenation of the codebook memory and the target to be coded is
   all-pole filtered with the perceptual weighting filter specified in
   section 3.4.  The filter state of the weighting filter is set to
   zero.

      in(0..(lMem-1))            = unweighted codebook memory
      in(lMem..(lMem+lTarget-1)) = unweighted target signal


      in -> Wk(z) -> filtered,
          where Wk(z) is taken from the sub-block of the target

      weighted codebook memory = filtered(0..(lMem-1))
      weighted target signal = filtered(lMem..(lMem+lTarget-1))

   The codebook search is done with the weighted codebook memory and the
   weighted target, whereas the decoding and the codebook memory update
   uses the unweighted codebook memory.



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3.6.3.  Codebook Creation

   The codebook for the search is created from the perceptually weighted
   codebook memory.  It consists of two sections, where the first is
   referred to as the base codebook and the second as the expanded
   codebook, as it is created by linear combinations of the first.  Each
   of these two sections also has a subsection referred to as the
   augmented codebook.  The augmented codebook is only created and used
   for the coding of the 40-sample sub-blocks and not for the 23/22-
   sample sub-block case.  The codebook size used for the different
   sub-blocks and different stages are summarized in the table below.

                              Stage
                        1               2 & 3
           --------------------------------------------
                22     128  (64+0)*2     128 (64+0)*2
   Sub-    1:st 40     256  (108+20)*2   128 (44+20)*2
   Blocks  2:nd 40     256  (108+20)*2   256 (108+20)*2
           3:rd 40     256  (108+20)*2   256 (108+20)*2
           4:th 40     256  (108+20)*2   256 (108+20)*2

   Table 3.1.  Codebook sizes for the 30 ms mode.

   Table 3.1 shows the codebook size for the different sub-blocks and
   stages for 30 ms frames.  Inside the parentheses it shows how the
   number of codebook vectors is distributed, within the two sections,
   between the base/expanded codebook and the augmented base/expanded
   codebook.  It should be interpreted in the following way:
   (base/expanded cb + augmented base/expanded cb).  The total number of
   codebook vectors for a specific sub-block and stage is given by the
   following formula:

   Tot. cb vectors = base cb + aug. base cb + exp. cb + aug. exp. cb

   The corresponding values to Figure 3.1 for 20 ms frames are only
   slightly modified.  The short sub-block is 23 instead of 22 samples,
   and the 3:rd and 4:th sub-frame are not present.

3.6.3.1.  Creation of a Base Codebook

   The base codebook is given by the perceptually weighted codebook
   memory that is mentioned in section 3.5.3.  The different codebook
   vectors are given by sliding a window of length 23/22 or 40, given by
   variable lTarget, over the lMem-long perceptually weighted codebook
   memory.  The indices are ordered so that the codebook vector
   containing sample (lMem-lTarget-n) to (lMem-n-1) of the codebook





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   memory vector has index n, where n=0..lMem-lTarget.  Thus the total
   number of base codebook vectors is lMem-lTarget+1, and the indices
   are ordered from sample delay lTarget (23/22 or 40) to lMem+1 (86 or
   148).

3.6.3.2.  Codebook Expansion

   The base codebook is expanded by a factor of 2, creating an
   additional section in the codebook.  This new section is obtained by
   filtering the base codebook, base_cb, with a FIR filter with filter
   length CB_FILTERLEN=8.  The construction of the expanded codebook
   compensates for the delay of four samples introduced by the FIR
   filter.

   cbfiltersTbl[CB_FILTERLEN]={-0.033691, 0.083740, -0.144043,
                  0.713379, 0.806152, -0.184326,
                  0.108887, -0.034180};

                   ___
                   \
      exp_cb(k)=  + > cbfiltersTbl(i)*x(k-i+4)
                   /__
             i=0...(LPC_FILTERORDER-1)

      where x(j) = base_cb(j) for j=0..lMem-1 and 0 otherwise

   The individual codebook vectors of the new filtered codebook, exp_cb,
   and their indices are obtained in the same fashion as described above
   for the base codebook.

3.6.3.3.  Codebook Augmentation

   For cases where encoding entire sub-blocks, i.e., cbveclen=40, the
   base and expanded codebooks are augmented to increase codebook
   richness.  The codebooks are augmented by vectors produced by
   interpolation of segments.  The base and expanded codebook,
   constructed above, consists of vectors corresponding to sample delays
   in the range from cbveclen to lMem.  The codebook augmentation
   attempts to augment these codebooks with vectors corresponding to
   sample delays from 20 to 39.  However, not all of these samples are
   present in the base codebook and expanded codebook, respectively.
   Therefore, the augmentation vectors are constructed as linear
   combinations between samples corresponding to sample delays in the
   range 20 to 39.  The general idea of this procedure is presented in
   the following figures and text.  The procedure is performed for both
   the base codebook and the expanded codebook.





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       - - ------------------------|
    codebook memory                |
       - - ------------------------|
                  |-5-|---15---|-5-|
                  pi  pp       po

                      |        |                       Codebook vector
                      |---15---|-5-|-----20-----|   <- corresponding to
                          i     ii      iii            sample delay 20

   Figure 3.11.  Generation of the first augmented codebook.

   Figure 3.11 shows the codebook memory with pointers pi, pp, and po,
   where pi points to sample 25, pp to sample 20, and po to sample 5.
   Below the codebook memory, the augmented codebook vector
   corresponding to sample delay 20 is drawn.  Segment i consists of
   fifteen samples from pointer pp and forward in time.  Segment ii
   consists of five interpolated samples from pi and forward and from po
   and forward.  The samples are linearly interpolated with weights
   [0.0, 0.2, 0.4, 0.6, 0.8] for pi and weights [1.0, 0.8, 0.6, 0.4,
   0.2] for po.  Segment iii consists of twenty samples from pp and
   forward.  The augmented codebook vector corresponding to sample delay
   21 is produced by moving pointers pp and pi one sample backward in
   time.  This gives us the following figure.

       - - ------------------------|
    codebook memory                |
       - - ------------------------|
                  |-5-|---16---|-5-|
                  pi  pp       po

                      |        |                       Codebook vector
                      |---16---|-5-|-----19-----|   <- corresponding to
                          i     ii      iii            sample delay 21

   Figure 3.12.  Generation of the second augmented codebook.

   Figure 3.12 shows the codebook memory with pointers pi, pp and po
   where pi points to sample 26, pp to sample 21, and po to sample 5.
   Below the codebook memory, the augmented codebook vector
   corresponding to sample delay 21 is drawn.  Segment i now consists of
   sixteen samples from pp and forward.  Segment ii consists of five
   interpolated samples from pi and forward and from po and forward, and
   the interpolation weights are the same throughout the procedure.
   Segment iii consists of nineteen samples from pp and forward.  The
   same procedure of moving the two pointers is continued until the last
   augmented vector corresponding to sample delay 39 has been created.
   This gives a total of twenty new codebook vectors to each of the two



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   sections.  Thus the total number of codebook vectors for each of the
   two sections, when including the augmented codebook, becomes lMem-
   SUBL+1+SUBL/2.  This is provided that augmentation is evoked, i.e.,
   that lTarget=SUBL.

3.6.4.  Codebook Search

   The codebook search uses the codebooks described in the sections
   above to find the best match of the perceptually weighted target, see
   section 3.6.2.  The search method is a multi-stage gain-shape
   matching performed as follows.  At each stage the best shape vector
   is identified, then the gain is calculated and quantized, and finally
   the target is updated in preparation for the next codebook search
   stage.  The number of stages is CB_NSTAGES=3.

   If the target is the 23/22-sample vector the codebooks are indexed so
   that the base codebook is followed by the expanded codebook.  If the
   target is 40 samples the order is as follows: base codebook,
   augmented base codebook, expanded codebook, and augmented expanded
   codebook.  The size of each codebook section and its corresponding
   augmented section is given by Table 3.1 in section 3.6.3.

   For example, when the second 40-sample sub-block is coded, indices 0
   - 107 correspond to the base codebook, 108 - 127 correspond to the
   augmented base codebook, 128 - 235 correspond to the expanded
   codebook, and indices 236 - 255 correspond to the augmented expanded
   codebook.  The indices are divided in the same fashion for all stages
   in the example.  Only in the case of coding the first 40-sample sub-
   block is there a difference between stages (see Table 3.1).

3.6.4.1.  Codebook Search at Each Stage

   The codebooks are searched to find the best match to the target at
   each stage.  When the best match is found, the target is updated and
   the next-stage search is started.  The three chosen codebook vectors
   and their corresponding gains constitute the encoded sub-block.  The
   best match is decided by the following three criteria:

   1. Compute the measure

      (target*cbvec)^2 / ||cbvec||^2

   for all codebook vectors, cbvec, and choose the codebook vector
   maximizing the measure.  The expression (target*cbvec) is the dot
   product between the target vector to be coded and the codebook vector
   for which we compute the measure.  The norm, ||x||, is defined as the
   square root of (x*x).




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   2. The absolute value of the gain, corresponding to the chosen
      codebook vector, cbvec, must be smaller than a fixed limit,
      CB_MAXGAIN=1.3:

            |gain| < CB_MAXGAIN

      where the gain is computed in the following way:

            gain = (target*cbvec) / ||cbvec||^2

   3. For the first stage, the dot product of the chosen codebook vector
      and target must be positive:

      target*cbvec > 0

   In practice the above criteria are used in a sequential search
   through all codebook vectors.  The best match is found by registering
   a new max measure and index whenever the previously registered max
   measure is surpassed and all other criteria are fulfilled.  If none
   of the codebook vectors fulfill (2) and (3), the first codebook
   vector is selected.

3.6.4.2.  Gain Quantization at Each Stage

   The gain follows as a result of the computation

      gain = (target*cbvec) / ||cbvec||^2

   for the optimal codebook vector found by the procedure in section
   3.6.4.1.

   The three stages quantize the gain, using 5, 4, and 3 bits,
   respectively.  In the first stage, the gain is limited to positive
   values.  This gain is quantized by finding the nearest value in the
   quantization table gain_sq5Tbl.

   gain_sq5Tbl[32]={0.037476, 0.075012, 0.112488, 0.150024, 0.187500,
                  0.224976, 0.262512, 0.299988, 0.337524, 0.375000,
                  0.412476, 0.450012, 0.487488, 0.525024, 0.562500,
                  0.599976, 0.637512, 0.674988, 0.712524, 0.750000,
                  0.787476, 0.825012, 0.862488, 0.900024, 0.937500,
                  0.974976, 1.012512, 1.049988, 1.087524, 1.125000,
                  1.162476, 1.200012}

   The gains of the subsequent two stages can be either positive or
   negative.  The gains are quantized by using a quantization table
   times a scale factor.  The second stage uses the table gain_sq4Tbl,
   and the third stage uses gain_sq3Tbl.  The scale factor equates 0.1



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   or the absolute value of the quantized gain representation value
   obtained in the previous stage, whichever is larger.  Again, the
   resulting gain index is the index to the nearest value of the
   quantization table times the scale factor.

        gainQ = scaleFact * gain_sqXTbl[index]

   gain_sq4Tbl[16]={-1.049988, -0.900024, -0.750000, -0.599976,
                  -0.450012, -0.299988, -0.150024, 0.000000, 0.150024,
                  0.299988, 0.450012, 0.599976, 0.750000, 0.900024,
                  1.049988, 1.200012}

   gain_sq3Tbl[8]={-1.000000, -0.659973, -0.330017,0.000000,
                  0.250000, 0.500000, 0.750000, 1.00000}

3.6.4.3.  Preparation of Target for Next Stage

   Before performing the search for the next stage, the perceptually
   weighted target vector is updated by subtracting from it the selected
   codebook vector (from the perceptually weighted codebook) times the
   corresponding quantized gain.

      target[i] = target[i] - gainQ * selected_vec[i];

   A reference implementation of the codebook encoding is found in
   Appendix A.34.

3.7.  Gain Correction Encoding

   The start state is quantized in a relatively model independent manner
   using 3 bits per sample.  In contrast, the remaining parts of the
   block are encoded by using an adaptive codebook.  This codebook will
   produce high matching accuracy whenever there is a high correlation
   between the target and the best codebook vector.  For unvoiced speech
   segments and background noises, this is not necessarily so, which,
   due to the nature of the squared error criterion, results in a coded
   signal with less power than the target signal.  As the coded start
   state has good power matching to the target, the result is a power
   fluctuation within the encoded frame.  Perceptually, the main problem
   with this is that the time envelope of the signal energy becomes
   unsteady.  To overcome this problem, the gains for the codebooks are
   re-scaled after the codebook encoding by searching for a new gain
   factor for the first stage codebook that provides better power
   matching.

   First, the energy for the target signal, tene, is computed along with
   the energy for the coded signal, cene, given by the addition of the
   three gain scaled codebook vectors.  Because the gains of the second



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   and third stage scale with the gain of the first stage, when the
   first stage gain is changed from gain[0] to gain_sq5Tbl[i] the energy
   of the coded signal changes from cene to

      cene*(gain_sq5Tbl[i]*gain_sq5Tbl[i])/(gain[0]*gain[0])

   where gain[0] is the gain for the first stage found in the original
   codebook search.  A refined search is performed by testing the gain
   indices i=0 to 31, and as long as the new codebook energy as given
   above is less than tene, the gain index for stage 1 is increased.  A
   restriction is applied so that the new gain value for stage 1 cannot
   be more than two times higher than the original value found in the
   codebook search.  Note that by using this method we do not change the
   shape of the encoded vector, only the gain or amplitude.

3.8.  Bitstream Definition

   The total number of bits used to describe one frame of 20 ms speech
   is 304, which fits in 38 bytes and results in a bit rate of 15.20
   kbit/s.  For the case of a frame length of 30 ms speech, the total
   number of bits used is 400, which fits in 50 bytes and results in a
   bit rate of 13.33 kbit/s.  In the bitstream definition, the bits are
   distributed into three classes according to their bit error or loss
   sensitivity.  The most sensitive bits (class 1) are placed first in
   the bitstream for each frame.  The less sensitive bits (class 2) are
   placed after the class 1 bits.  The least sensitive bits (class 3)
   are placed at the end of the bitstream for each frame.

   In the 20/30 ms frame length cases for each class, the following hold
   true: The class 1 bits occupy a total of 6/8 bytes (48/64 bits), the
   class 2 bits occupy 8/12 bytes (64/96 bits), and the class 3 bits
   occupy 24/30 bytes (191/239 bits).  This distribution of the bits
   enables the use of uneven level protection (ULP) as is exploited in
   the payload format definition for iLBC [1].  The detailed bit
   allocation is shown in the table below.  When a quantization index is
   distributed between more classes, the more significant bits belong to
   the lowest class.














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   Bitstream structure:

   ------------------------------------------------------------------+
   Parameter                         |       Bits Class <1,2,3>      |
                                     |  20 ms frame  |  30 ms frame  |
   ----------------------------------+---------------+---------------+
                            Split 1  |   6 <6,0,0>   |   6 <6,0,0>   |
                   LSF 1    Split 2  |   7 <7,0,0>   |   7 <7,0,0>   |
   LSF                      Split 3  |   7 <7,0,0>   |   7 <7,0,0>   |
                   ------------------+---------------+---------------+
                            Split 1  | NA (Not Appl.)|   6 <6,0,0>   |
                   LSF 2    Split 2  |      NA       |   7 <7,0,0>   |
                            Split 3  |      NA       |   7 <7,0,0>   |
                   ------------------+---------------+---------------+
                   Sum               |  20 <20,0,0>  |  40 <40,0,0>  |
   ----------------------------------+---------------+---------------+
   Block Class                       |   2 <2,0,0>   |   3 <3,0,0>   |
   ----------------------------------+---------------+---------------+
   Position 22 sample segment        |   1 <1,0,0>   |   1 <1,0,0>   |
   ----------------------------------+---------------+---------------+
   Scale Factor State Coder          |   6 <6,0,0>   |   6 <6,0,0>   |
   ----------------------------------+---------------+---------------+
                   Sample 0          |   3 <0,1,2>   |   3 <0,1,2>   |
   Quantized       Sample 1          |   3 <0,1,2>   |   3 <0,1,2>   |
   Residual           :              |   :    :      |   :    :      |
   State              :              |   :    :      |   :    :      |
   Samples            :              |   :    :      |   :    :      |
                   Sample 56         |   3 <0,1,2>   |   3 <0,1,2>   |
                   Sample 57         |      NA       |   3 <0,1,2>   |
                   ------------------+---------------+---------------+
                   Sum               | 171 <0,57,114>| 174 <0,58,116>|
   ----------------------------------+---------------+---------------+
                            Stage 1  |   7 <6,0,1>   |   7 <4,2,1>   |
   CB for 22/23             Stage 2  |   7 <0,0,7>   |   7 <0,0,7>   |
   sample block             Stage 3  |   7 <0,0,7>   |   7 <0,0,7>   |
                   ------------------+---------------+---------------+
                   Sum               |  21 <6,0,15>  |  21 <4,2,15>  |
   ----------------------------------+---------------+---------------+
                            Stage 1  |   5 <2,0,3>   |   5 <1,1,3>   |
   Gain for 22/23           Stage 2  |   4 <1,1,2>   |   4 <1,1,2>   |
   sample block             Stage 3  |   3 <0,0,3>   |   3 <0,0,3>   |
                   ------------------+---------------+---------------+
                   Sum               |  12 <3,1,8>   |  12 <2,2,8>   |
   ----------------------------------+---------------+---------------+
                            Stage 1  |   8 <7,0,1>   |   8 <6,1,1>   |
               sub-block 1  Stage 2  |   7 <0,0,7>   |   7 <0,0,7>   |
                            Stage 3  |   7 <0,0,7>   |   7 <0,0,7>   |
                   ------------------+---------------+---------------+



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                            Stage 1  |   8 <0,0,8>   |   8 <0,7,1>   |
               sub-block 2  Stage 2  |   8 <0,0,8>   |   8 <0,0,8>   |
   Indices                  Stage 3  |   8 <0,0,8>   |   8 <0,0,8>   |
   for CB          ------------------+---------------+---------------+
   sub-blocks               Stage 1  |      NA       |   8 <0,7,1>   |
               sub-block 3  Stage 2  |      NA       |   8 <0,0,8>   |
                            Stage 3  |      NA       |   8 <0,0,8>   |
                   ------------------+---------------+---------------+
                            Stage 1  |      NA       |   8 <0,7,1>   |
               sub-block 4  Stage 2  |      NA       |   8 <0,0,8>   |
                            Stage 3  |      NA       |   8 <0,0,8>   |
                   ------------------+---------------+---------------+
                   Sum               |  46 <7,0,39>  |  94 <6,22,66> |
   ----------------------------------+---------------+---------------+
                            Stage 1  |   5 <1,2,2>   |   5 <1,2,2>   |
               sub-block 1  Stage 2  |   4 <1,1,2>   |   4 <1,2,1>   |
                            Stage 3  |   3 <0,0,3>   |   3 <0,0,3>   |
                   ------------------+---------------+---------------+
                            Stage 1  |   5 <1,1,3>   |   5 <0,2,3>   |
               sub-block 2  Stage 2  |   4 <0,2,2>   |   4 <0,2,2>   |
                            Stage 3  |   3 <0,0,3>   |   3 <0,0,3>   |
   Gains for       ------------------+---------------+---------------+
   sub-blocks               Stage 1  |      NA       |   5 <0,1,4>   |
               sub-block 3  Stage 2  |      NA       |   4 <0,1,3>   |
                            Stage 3  |      NA       |   3 <0,0,3>   |
                   ------------------+---------------+---------------+
                            Stage 1  |      NA       |   5 <0,1,4>   |
               sub-block 4  Stage 2  |      NA       |   4 <0,1,3>   |
                            Stage 3  |      NA       |   3 <0,0,3>   |
                   ------------------+---------------+---------------+
                   Sum               |  24 <3,6,15>  |  48 <2,12,34> |
   ----------------------------------+---------------+---------------+
   Empty frame indicator             |   1 <0,0,1>   |   1 <0,0,1>   |
   -------------------------------------------------------------------
   SUM                                 304 <48,64,192> 400 <64,96,240>

   Table 3.2.  The bitstream definition for iLBC for both the 20 ms
   frame size mode and the 30 ms frame size mode.

   When packetized into the payload, the bits MUST be sorted as follows:
   All the class 1 bits in the order (from top to bottom) as specified
   in the table, all the class 2 bits (from top to bottom), and all the
   class 3 bits in the same sequential order.  The last bit, the empty
   frame indicator, SHOULD be set to zero by the encoder.  If this bit
   is set to 1 the decoder SHOULD treat the data as a lost frame.  For
   example, this bit can be set to 1 to indicate lost frame for file
   storage format, as in [1].




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4.  Decoder Principles

   This section describes the principles of each component of the
   decoder algorithm.

              +-------------+    +--------+    +---------------+
   payload -> | 1. Get para | -> | 2. LPC | -> | 3. Sc Dequant | ->
              +-------------+    +--------+    +---------------+

              +-------------+    +------------------+
           -> | 4. Mem setup| -> | 5. Construct res |------->
           |  +-------------+    +-------------------   |
           ---------<-----------<-----------<------------
                     Sub-frame 0...2/4 (20 ms/30 ms)

              +----------------+    +----------+
           -> | 6. Enhance res | -> | 7. Synth | ------------>
              +----------------+    +----------+

              +-----------------+
           -> | 8. Post Process | ----------------> decoded speech
              +-----------------+

   Figure 4.1.  Flow chart of the iLBC decoder.  If a frame was lost,
   steps 1 to 5 SHOULD be replaced by a PLC algorithm.

   1. Extract the parameters from the bitstream.

   2. Decode the LPC and interpolate (section 4.1).

   3. Construct the 57/58-sample start state (section 4.2).

   4. Set up the memory by using data from the decoded residual.  This
      memory is used for codebook construction.  For blocks preceding
      the start state, both the decoded residual and the target are time
      reversed.  Sub-frames are decoded in the same order as they were
      encoded.

   5. Construct the residuals of this sub-frame (gain[0]*cbvec[0] +
      gain[1]*cbvec[1] + gain[2]*cbvec[2]).  Repeat 4 and 5 until the
      residual of all sub-blocks has been constructed.

   6. Enhance the residual with the post filter (section 4.6).

   7. Synthesis of the residual (section 4.7).

   8. Post process with HP filter, if desired (section 4.8).




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4.1.  LPC Filter Reconstruction

   The decoding of the LP filter parameters is very straightforward.
   For a set of three/six indices, the corresponding LSF vector(s) are
   found by simple table lookup.  For each of the LSF vectors, the three
   split vectors are concatenated to obtain qlsf1 and qlsf2,
   respectively (in the 20 ms mode only one LSF vector, qlsf, is
   constructed).  The next step is the stability check described in
   section 3.2.5 followed by the interpolation scheme described in
   section 3.2.6 (3.2.7 for 20 ms frames).  The only difference is that
   only the quantized LSFs are known at the decoder, and hence the
   unquantized LSFs are not processed.

   A reference implementation of the LPC filter reconstruction is given
   in Appendix A.36.

4.2.  Start State Reconstruction

   The scalar encoded STATE_SHORT_LEN=58 (STATE_SHORT_LEN=57 in the 20
   ms mode) state samples are reconstructed by 1) forming a set of
   samples (by table lookup) from the index stream idxVec[n], 2)
   multiplying the set with 1/scal=(10^qmax)/4.5, 3) time reversing the
   57/58 samples, 4) filtering the time reversed block with the
   dispersion (all-pass) filter used in the encoder (as described in
   section 3.5.2); this compensates for the phase distortion of the
   earlier filter operation, and 5 reversing the 57/58 samples from the
   previous step.

   in(0..(STATE_SHORT_LEN-1)) = time reversed samples from table
                                look-up,
                                idxVecDec((STATE_SHORT_LEN-1)..0)

   in(STATE_SHORT_LEN..(2*STATE_SHORT_LEN-1)) = 0

   Pk(z) = A~rk(z)/A~k(z), where
                                  ___
                                  \
   A~rk(z)= z^(-LPC_FILTERORDER) + > a~ki*z^(i-(LPC_FILTERORDER-1))
                                  /__
                              i=0...(LPC_FILTERORDER-1)

   and A~k(z) is taken from the block where the start state begins

   in -> Pk(z) -> filtered

   out(k) = filtered(STATE_SHORT_LEN-1-k) +
                           filtered(2*STATE_SHORT_LEN-1-k),
                                         k=0..(STATE_SHORT_LEN-1)



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   The remaining 23/22 samples in the state are reconstructed by the
   same adaptive codebook technique described in section 4.3.  The
   location bit determines whether these are the first or the last 23/22
   samples of the 80-sample state vector.  If the remaining 23/22
   samples are the first samples, then the scalar encoded
   STATE_SHORT_LEN state samples are time-reversed before initialization
   of the adaptive codebook memory vector.

   A reference implementation of the start state reconstruction is given
   in Appendix A.44.

4.3.  Excitation Decoding Loop

   The decoding of the LPC excitation vector proceeds in the same order
   in which the residual was encoded at the encoder.  That is, after the
   decoding of the entire 80-sample state vector, the forward sub-blocks
   (corresponding to samples occurring after the state vector samples)
   are decoded, and then the backward sub-blocks (corresponding to
   samples occurring before the state vector) are decoded, resulting in
   a fully decoded block of excitation signal samples.

   In particular, each sub-block is decoded by using the multistage
   adaptive codebook decoding module described in section 4.4.  This
   module relies upon an adaptive codebook memory constructed before
   each run of the adaptive codebook decoding.  The construction of the
   adaptive codebook memory in the decoder is identical to the method
   outlined in section 3.6.3, except that it is done on the codebook
   memory without perceptual weighting.

   For the initial forward sub-block, the last STATE_LEN=80 samples of
   the length CB_LMEM=147 adaptive codebook memory are filled with the
   samples of the state vector.  For subsequent forward sub-blocks, the
   first SUBL=40 samples of the adaptive codebook memory are discarded,
   the remaining samples are shifted by SUBL samples toward the
   beginning of the vector, and the newly decoded SUBL=40 samples are
   placed at the end of the adaptive codebook memory.  For backward
   sub-blocks, the construction is similar, except that every vector of
   samples involved is first time reversed.

   A reference implementation of the excitation decoding loop is found
   in Appendix A.5.










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4.4.  Multistage Adaptive Codebook Decoding

   The Multistage Adaptive Codebook Decoding module is used at both the
   sender (encoder) and the receiver (decoder) ends to produce a
   synthetic signal in the residual domain that is eventually used to
   produce synthetic speech.  The module takes the index values used to
   construct vectors that are scaled and summed together to produce a
   synthetic signal that is the output of the module.

4.4.1.  Construction of the Decoded Excitation Signal

   The unpacked index values provided at the input to the module are
   references to extended codebooks, which are constructed as described
   in section 3.6.3, except that they are based on the codebook memory
   without the perceptual weighting.  The unpacked three indices are
   used to look up three codebook vectors.  The unpacked three gain
   indices are used to decode the corresponding 3 gains.  In this
   decoding, the successive rescaling, as described in section 3.6.4.2,
   is applied.

   A reference implementation of the adaptive codebook decoding is
   listed in Appendix A.32.

4.5.  Packet Loss Concealment

   If packet loss occurs, the decoder receives a signal saying that
   information regarding a block is lost.  For such blocks it is
   RECOMMENDED to use a Packet Loss Concealment (PLC) unit to create a
   decoded signal that masks the effect of that packet loss.  In the
   following we will describe an example of a PLC unit that can be used
   with the iLBC codec.  As the PLC unit is used only at the decoder,
   the PLC unit does not affect interoperability between
   implementations.  Other PLC implementations MAY therefore be used.

   The PLC described operates on the LP filters and the excitation
   signals and is based on the following principles:

4.5.1.  Block Received Correctly and Previous Block Also Received

   If the block is received correctly, the PLC only records state
   information of the current block that can be used in case the next
   block is lost.  The LP filter coefficients for each sub-block and the
   entire decoded excitation signal are all saved in the decoder state
   structure.  All of this information will be needed if the following
   block is lost.






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4.5.2.  Block Not Received

   If the block is not received, the block substitution is based on a
   pitch-synchronous repetition of the excitation signal, which is
   filtered by the last LP filter of the previous block.  The previous
   block's information is stored in the decoder state structure.

   A correlation analysis is performed on the previous block's
   excitation signal in order to detect the amount of pitch periodicity
   and a pitch value.  The correlation measure is also used to decide on
   the voicing level (the degree to which the previous block's
   excitation was a voiced or roughly periodic signal).  The excitation
   in the previous block is used to create an excitation for the block
   to be substituted, such that the pitch of the previous block is
   maintained.  Therefore, the new excitation is constructed in a
   pitch-synchronous manner.  In order to avoid a buzzy-sounding
   substituted block, a random excitation is mixed with the new pitch
   periodic excitation, and the relative use of the two components is
   computed from the correlation measure (voicing level).

   For the block to be substituted, the newly constructed excitation
   signal is then passed through the LP filter to produce the speech
   that will be substituted for the lost block.

   For several consecutive lost blocks, the packet loss concealment
   continues in a similar manner.  The correlation measure of the last
   block received is still used along with the same pitch value.  The LP
   filters of the last block received are also used again.  The energy
   of the substituted excitation for consecutive lost blocks is
   decreased, leading to a dampened excitation, and therefore to
   dampened speech.

4.5.3.  Block Received Correctly When Previous Block Not Received

   For the case in which a block is received correctly when the previous
   block was not, the correctly received block's directly decoded speech
   (based solely on the received block) is not used as the actual
   output.  The reason for this is that the directly decoded speech does
   not necessarily smoothly merge into the synthetic speech generated
   for the previous lost block.  If the two signals are not smoothly
   merged, an audible discontinuity is accidentally produced.
   Therefore, a correlation analysis between the two blocks of
   excitation signal (the excitation of the previous concealed block and
   that of the current received block) is performed to find the best
   phase match.  Then a simple overlap-add procedure is performed to
   merge the previous excitation smoothly into the current block's
   excitation.




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   The exact implementation of the packet loss concealment does not
   influence interoperability of the codec.

   A reference implementation of the packet loss concealment is
   suggested in Appendix A.14.  Exact compliance with this suggested
   algorithm is not needed for a reference implementation to be fully
   compatible with the overall codec specification.

4.6.  Enhancement

   The decoder contains an enhancement unit that operates on the
   reconstructed excitation signal.  The enhancement unit increases the
   perceptual quality of the reconstructed signal by reducing the
   speech-correlated noise in the voiced speech segments.  Compared to
   traditional postfilters, the enhancer has an advantage in that it can
   only modify the excitation signal slightly.  This means that there is
   no risk of over enhancement.  The enhancer works very similarly for
   both the 20 ms frame size mode and the 30 ms frame size mode.

   For the mode with 20 ms frame size, the enhancer uses a memory of six
   80-sample excitation blocks prior in time plus the two new 80-sample
   excitation blocks.  For each block of 160 new unenhanced excitation
   samples, 160 enhanced excitation samples are produced.  The enhanced
   excitation is 40-sample delayed compared to the unenhanced
   excitation, as the enhancer algorithm uses lookahead.

   For the mode with 30 ms frame size, the enhancer uses a memory of
   five 80-sample excitation blocks prior in time plus the three new
   80-sample excitation blocks.  For each block of 240 new unenhanced
   excitation samples, 240 enhanced excitation samples are produced.
   The enhanced excitation is 80-sample delayed compared to the
   unenhanced excitation, as the enhancer algorithm uses lookahead.

   Outline of Enhancer

   The speech enhancement unit operates on sub-blocks of 80 samples,
   which means that there are two/three 80 sample sub-blocks per frame.
   Each of these two/three sub-blocks is enhanced separately, but in an
   analogous manner.












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   unenhanced residual
           |
           |   +---------------+    +--------------+
           +-> | 1. Pitch Est  | -> | 2. Find PSSQ | -------->
               +---------------+  | +--------------+
                                  +-----<-------<------<--+
               +------------+         enh block 0..1/2    |
            -> | 3. Smooth  |                             |
               +------------+                             |
                 \                                        |
                 /\                                       |
                /  \   Already                            |
               / 4. \----------->----------->-----------+ |
               \Crit/ Fulfilled                         | |
                \? /                                    v |
                 \/                                     | |
                  \  +-----------------+    +---------+ | |
              Not +->| 5. Use Constr.  | -> | 6. Mix  | ----->
           Fulfilled +-----------------+    +---------+

            ---------------> enhanced residual

   Figure 4.2.  Flow chart of the enhancer.

   1. Pitch estimation of each of the two/three new 80-sample blocks.

   2. Find the pitch-period-synchronous sequence n (for block k) by a
      search around the estimated pitch value.  Do this for n=1,2,3,
      -1,-2,-3.

   3. Calculate the smoothed residual generated by the six pitch-
      period-synchronous sequences from prior step.

   4. Check if the smoothed residual satisfies the criterion (section
      4.6.4).

   5. Use constraint to calculate mixing factor (section 4.6.5).

   6. Mix smoothed signal with unenhanced residual (pssq(n) n=0).

   The main idea of the enhancer is to find three 80 sample blocks
   before and three 80-sample blocks after the analyzed unenhanced sub-
   block and to use these to improve the quality of the excitation in
   that sub-block.  The six blocks are chosen so that they have the
   highest possible correlation with the unenhanced sub-block that is
   being enhanced.  In other words, the six blocks are pitch-period-
   synchronous sequences to the unenhanced sub-block.




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   A linear combination of the six pitch-period-synchronous sequences is
   calculated that approximates the sub-block.  If the squared error
   between the approximation and the unenhanced sub-block is small
   enough, the enhanced residual is set equal to this approximation.
   For the cases when the squared error criterion is not fulfilled, a
   linear combination of the approximation and the unenhanced residual
   forms the enhanced residual.

4.6.1.  Estimating the Pitch

   Pitch estimates are needed to determine the locations of the pitch-
   period-synchronous sequences in a complexity-efficient way.  For each
   of the new two/three sub-blocks, a pitch estimate is calculated by
   finding the maximum correlation in the range from lag 20 to lag 120.
   These pitch estimates are used to narrow down the search for the best
   possible pitch-period-synchronous sequences.

4.6.2.  Determination of the Pitch-Synchronous Sequences

   Upon receiving the pitch estimates from the prior step, the enhancer
   analyzes and enhances one 80-sample sub-block at a time.  The pitch-
   period-synchronous-sequences pssq(n) can be viewed as vectors of
   length 80 samples each shifted n*lag samples from the current sub-
   block.  The six pitch-period-synchronous-sequences, pssq(-3) to
   pssq(-1) and pssq(1) to pssq(3), are found one at a time by the steps
   below:

   1) Calculate the estimate of the position of the pssq(n).  For
      pssq(n) in front of pssq(0) (n > 0), the location of the pssq(n)
      is estimated by moving one pitch estimate forward in time from the
      exact location of pssq(n-1).  Similarly, pssq(n) behind pssq(0) (n
      < 0) is estimated by moving one pitch estimate backward in time
      from the exact location of pssq(n+1).  If the estimated pssq(n)
      vector location is totally within the enhancer memory (Figure
      4.3), steps 2, 3, and 4 are performed, otherwise the pssq(n) is
      set to zeros.

   2) Compute the correlation between the unenhanced excitation and
      vectors around the estimated location interval of pssq(n).  The
      correlation is calculated in the interval estimated location +/- 2
      samples.  This results in five correlation values.

   3) The five correlation values are upsampled by a factor of 4, by
      using four simple upsampling filters (MA filters with coefficients
      upsFilter1.. upsFilter4).  Within these the maximum value is
      found, which specifies the best pitch-period with a resolution of
      a quarter of a sample.




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      upsFilter1[7]={0.000000 0.000000 0.000000 1.000000
             0.000000 0.000000 0.000000}
      upsFilter2[7]={0.015625 -0.076904 0.288330 0.862061
            -0.106445 0.018799 -0.015625}
      upsFilter3[7]={0.023682 -0.124268 0.601563 0.601563
            -0.124268 0.023682 -0.023682}
      upsFilter4[7]={0.018799 -0.106445 0.862061 0.288330
            -0.076904 0.015625 -0.018799}

   4) Generate the pssq(n) vector by upsampling of the excitation memory
      and extracting the sequence that corresponds to the lag delay that
      was calculated in prior step.

   With the steps above, all the pssq(n) can be found in an iterative
   manner, first moving backward in time from pssq(0) and then forward
   in time from pssq(0).


   0              159             319             479             639
   +---------------------------------------------------------------+
   |  -5   |  -4   |  -3   |  -2   |  -1   |   0   |   1   |   2   |
   +---------------------------------------------------------------+
                                               |pssq 0 |
                                          |pssq -1| |pssq 1 |
                                       |pssq -2|       |pssq 2 |
                                    |pssq -3|             |pssq 3 |

   Figure 4.3.  Enhancement for 20 ms frame size.

   Figure 4.3 depicts pitch-period-synchronous sequences in the
   enhancement of the first 80 sample block in the 20 ms frame size
   mode.  The unenhanced signal input is stored in the last two sub-
   blocks (1 - 2), and the six other sub-blocks contain unenhanced
   residual prior-in-time.  We perform the enhancement algorithm on two
   blocks of 80 samples, where the first of the two blocks consists of
   the last 40 samples of sub-block 0 and the first 40 samples of sub-
   block 1.  The second 80-sample block consists of the last 40 samples
   of sub-block 1 and the first 40 samples of sub-block 2.













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   0              159             319             479             639
   +---------------------------------------------------------------+
   |  -4   |  -3   |  -2   |  -1   |   0   |   1   |   2   |   3   |
   +---------------------------------------------------------------+
                                   |pssq 0 |
                              |pssq -1| |pssq 1 |
                           |pssq -2|       |pssq 2 |
                        |pssq -3|             |pssq 3 |

   Figure 4.4.  Enhancement for 30 ms frame size.

   Figure 4.4 depicts pitch-period-synchronous sequences in the
   enhancement of the first 80-sample block in the 30 ms frame size
   mode.  The unenhanced signal input is stored in the last three sub-
   blocks (1 - 3).  The five other sub-blocks contain unenhanced
   residual prior-in-time.  The enhancement algorithm is performed on
   the three 80 sample sub-blocks 0, 1, and 2.

4.6.3.  Calculation of the Smoothed Excitation

   A linear combination of the six pssq(n) (n!=0) form a smoothed
   approximation, z, of pssq(0).  Most of the weight is put on the
   sequences that are close to pssq(0), as these are likely to be most
   similar to pssq(0).  The smoothed vector is also rescaled so that the
   energy of z is the same as the energy of pssq(0).

      ___
      \
   y = > pssq(i) * pssq_weight(i)
      /__
   i=-3,-2,-1,1,2,3

   pssq_weight(i) = 0.5*(1-cos(2*pi*(i+4)/(2*3+2)))

   z = C * y, where C = ||pssq(0)||/||y||

4.6.4.  Enhancer Criterion

   The criterion of the enhancer is that the enhanced excitation is not
   allowed to differ much from the unenhanced excitation.  This
   criterion is checked for each 80-sample sub-block.

   e < (b * ||pssq(0)||^2), where b=0.05 and   (Constraint 1)

   e = (pssq(0)-z)*(pssq(0)-z), and "*" means the dot product






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4.6.5.  Enhancing the excitation

   From the criterion in the previous section, it is clear that the
   excitation is not allowed to change much.  The purpose of this
   constraint is to prevent the creation of an enhanced signal
   significantly different from the original signal.  This also means
   that the constraint limits the numerical size of the errors that the
   enhancement procedure can make.  That is especially important in
   unvoiced segments and background noise segments for which increased
   periodicity could lead to lower perceived quality.

   When the constraint in the prior section is not met, the enhanced
   residual is instead calculated through a constrained optimization by
   using the Lagrange multiplier technique.  The new constraint is that

      e = (b * ||pssq(0)||^2)                     (Constraint 2)

   We distinguish two solution regions for the optimization: 1) the
   region where the first constraint is fulfilled and 2) the region
   where the first constraint is not fulfilled and the second constraint
   must be used.

   In the first case, where the second constraint is not needed, the
   optimized re-estimated vector is simply z, the energy-scaled version
   of y.

   In the second case, where the second constraint is activated and
   becomes an equality constraint, we have

      z= A*y + B*pssq(0)

   where

      A = sqrt((b-b^2/4)*(w00*w00)/ (w11*w00 + w10*w10)) and

      w11 = pssq(0)*pssq(0)
      w00 = y*y
      w10 = y*pssq(0)    (* symbolizes the dot product)

   and

      B = 1 - b/2 - A * w10/w00

   Appendix A.16 contains a listing of a reference implementation for
   the enhancement method.






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4.7.  Synthesis Filtering

   Upon decoding or PLC of the LP excitation block, the decoded speech
   block is obtained by running the decoded LP synthesis filter,
   1/A~k(z), over the block.  The synthesis filters have to be shifted
   to compensate for the delay in the enhancer.  For 20 ms frame size
   mode, they SHOULD be shifted one 40-sample sub-block, and for 30 ms
   frame size mode, they SHOULD be shifted two 40-sample sub-blocks.
   The LP coefficients SHOULD be changed at the first sample of every
   sub-block while keeping the filter state.  For PLC blocks, one
   solution is to apply the last LP coefficients of the last decoded
   speech block for all sub-blocks.

   The reference implementation for the synthesis filtering can be found
   in Appendix A.48.

4.8.  Post Filtering

   If desired, the decoded block can be filtered by a high-pass filter.
   This removes the low frequencies of the decoded signal.  A reference
   implementation of this, with cutoff at 65 Hz, is shown in Appendix
   A.30.

5.  Security Considerations

   This algorithm for the coding of speech signals is not subject to any
   known security consideration; however, its RTP payload format [1] is
   subject to several considerations, which are addressed there.
   Confidentiality of the media streams is achieved by encryption;
   therefore external mechanisms, such as SRTP [5], MAY be used for that
   purpose.

6.  Evaluation of the iLBC Implementations

   It is possible and suggested to evaluate certain iLBC implementation
   by utilizing methodology and tools available at
   http://www.ilbcfreeware.org/evaluation.html

7.  References

7.1.  Normative References

   [1] Duric, A. and S. Andersen, "Real-time Transport Protocol (RTP)
       Payload Format for internet Low Bit Rate Codec (iLBC) Speech",
       RFC 3952, December 2004.

   [2] Bradner, S., "Key words for use in RFCs to Indicate Requirement
       Levels", BCP 14, RFC 2119, March 1997.



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   [3] PacketCable(TM) Audio/Video Codecs Specification, Cable
       Television Laboratories, Inc.

7.2.  Informative References

   [4] ITU-T Recommendation G.711, available online from the ITU
       bookstore at http://www.itu.int.

   [5] Baugher, M., McGrew, D., Naslund, M., Carrara, E., and K. Norman,
       "The Secure Real Time Transport Protocol (SRTP)", RFC 3711, March
       2004.

8.  Acknowledgements

   This extensive work, besides listed authors, has the following
   authors, who could not have been listed among "official" authors (due
   to IESG restrictions in the number of authors who can be listed):

      Manohar N. Murthi (Department of Electrical and Computer
      Engineering, University of Miami), Fredrik Galschiodt, Julian
      Spittka, and Jan Skoglund (Global IP Sound).

   The authors are deeply indebted to the following people and thank
   them sincerely:

      Henry Sinnreich, Patrik Faltstrom, Alan Johnston, and Jean-
      Francois Mule for great support of the iLBC initiative and for
      valuable feedback and comments.

      Peter Vary, Frank Mertz, and Christoph Erdmann (RWTH Aachen);
      Vladimir Cuperman (Niftybox LLC); Thomas Eriksson (Chalmers Univ
      of Tech), and Gernot Kubin (TU Graz), for thorough review of the
      iLBC document and their valuable feedback and remarks.


















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APPENDIX A.  Reference Implementation

   This appendix contains the complete c-code for a reference
   implementation of encoder and decoder for the specified codec.

   The c-code consists of the following files with highest-level
   functions:

         iLBC_test.c: main function for evaluation purpose
         iLBC_encode.h: encoder header
         iLBC_encode.c: encoder function
         iLBC_decode.h: decoder header
         iLBC_decode.c: decoder function

   The following files contain global defines and constants:

         iLBC_define.h: global defines
         constants.h: global constants header
         constants.c: global constants memory allocations

   The following files contain subroutines:

         anaFilter.h: lpc analysis filter header
         anaFilter.c: lpc analysis filter function
         createCB.h: codebook construction header
         createCB.c: codebook construction function
         doCPLC.h: packet loss concealment header
         doCPLC.c: packet loss concealment function
         enhancer.h: signal enhancement header
         enhancer.c: signal enhancement function
         filter.h: general filter header
         filter.c: general filter functions
         FrameClassify.h: start state classification header
         FrameClassify.c: start state classification function
         gainquant.h: gain quantization header
         gainquant.c: gain quantization function
         getCBvec.h: codebook vector construction header
         getCBvec.c: codebook vector construction function
         helpfun.h: general purpose header
         helpfun.c: general purpose functions
         hpInput.h: input high pass filter header
         hpInput.c: input high pass filter function
         hpOutput.h: output high pass filter header
         hpOutput.c: output high pass filter function
         iCBConstruct.h: excitation decoding header
         iCBConstruct.c: excitation decoding function
         iCBSearch.h: excitation encoding header
         iCBSearch.c: excitation encoding function



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         LPCdecode.h: lpc decoding header
         LPCdecode.c: lpc decoding function
         LPCencode.h: lpc encoding header
         LPCencode.c: lpc encoding function
         lsf.h: line spectral frequencies header
         lsf.c: line spectral frequencies functions
         packing.h: bitstream packetization header
         packing.c: bitstream packetization functions
         StateConstructW.h: state decoding header
         StateConstructW.c: state decoding functions
         StateSearchW.h: state encoding header
         StateSearchW.c: state encoding function
         syntFilter.h: lpc synthesis filter header
         syntFilter.c: lpc synthesis filter function

   The implementation is portable and should work on many different
   platforms.  However, it is not difficult to optimize the
   implementation on particular platforms, an exercise left to the
   reader.

A.1.  iLBC_test.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       iLBC_test.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include <math.h>
   #include <stdlib.h>
   #include <stdio.h>
   #include <string.h>
   #include "iLBC_define.h"
   #include "iLBC_encode.h"
   #include "iLBC_decode.h"

   /* Runtime statistics */
   #include <time.h>

   #define ILBCNOOFWORDS_MAX   (NO_OF_BYTES_30MS/2)

   /*----------------------------------------------------------------*
    *  Encoder interface function



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    *---------------------------------------------------------------*/

   short encode(   /* (o) Number of bytes encoded */
       iLBC_Enc_Inst_t *iLBCenc_inst,
                                   /* (i/o) Encoder instance */
       short *encoded_data,    /* (o) The encoded bytes */
       short *data                 /* (i) The signal block to encode*/
   ){
       float block[BLOCKL_MAX];
       int k;

       /* convert signal to float */

       for (k=0; k<iLBCenc_inst->blockl; k++)
           block[k] = (float)data[k];

       /* do the actual encoding */

       iLBC_encode((unsigned char *)encoded_data, block, iLBCenc_inst);


       return (iLBCenc_inst->no_of_bytes);
   }

   /*----------------------------------------------------------------*
    *  Decoder interface function
    *---------------------------------------------------------------*/

   short decode(       /* (o) Number of decoded samples */
       iLBC_Dec_Inst_t *iLBCdec_inst,  /* (i/o) Decoder instance */
       short *decoded_data,        /* (o) Decoded signal block*/
       short *encoded_data,        /* (i) Encoded bytes */
       short mode                       /* (i) 0=PL, 1=Normal */
   ){
       int k;
       float decblock[BLOCKL_MAX], dtmp;

       /* check if mode is valid */

       if (mode<0 || mode>1) {
           printf("\nERROR - Wrong mode - 0, 1 allowed\n"); exit(3);}

       /* do actual decoding of block */

       iLBC_decode(decblock, (unsigned char *)encoded_data,
           iLBCdec_inst, mode);

       /* convert to short */



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       for (k=0; k<iLBCdec_inst->blockl; k++){
           dtmp=decblock[k];

           if (dtmp<MIN_SAMPLE)
               dtmp=MIN_SAMPLE;
           else if (dtmp>MAX_SAMPLE)
               dtmp=MAX_SAMPLE;
           decoded_data[k] = (short) dtmp;
       }

       return (iLBCdec_inst->blockl);
   }

   /*---------------------------------------------------------------*
    *  Main program to test iLBC encoding and decoding
    *
    *  Usage:
    *    exefile_name.exe <infile> <bytefile> <outfile> <channel>
    *
    *    <infile>   : Input file, speech for encoder (16-bit pcm file)
    *    <bytefile> : Bit stream output from the encoder
    *    <outfile>  : Output file, decoded speech (16-bit pcm file)
    *    <channel>  : Bit error file, optional (16-bit)
    *                     1 - Packet received correctly
    *                     0 - Packet Lost
    *
    *--------------------------------------------------------------*/

   int main(int argc, char* argv[])
   {

       /* Runtime statistics */

       float starttime;
       float runtime;
       float outtime;

       FILE *ifileid,*efileid,*ofileid, *cfileid;
       short data[BLOCKL_MAX];
       short encoded_data[ILBCNOOFWORDS_MAX], decoded_data[BLOCKL_MAX];
       int len;
       short pli, mode;
       int blockcount = 0;
       int packetlosscount = 0;

       /* Create structs */
       iLBC_Enc_Inst_t Enc_Inst;
       iLBC_Dec_Inst_t Dec_Inst;



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       /* get arguments and open files */

       if ((argc!=5) && (argc!=6)) {
           fprintf(stderr,
           "\n*-----------------------------------------------*\n");
           fprintf(stderr,
           "   %s <20,30> input encoded decoded (channel)\n\n",
               argv[0]);
           fprintf(stderr,
           "   mode    : Frame size for the encoding/decoding\n");
           fprintf(stderr,
           "                 20 - 20 ms\n");
           fprintf(stderr,
           "                 30 - 30 ms\n");
           fprintf(stderr,
           "   input   : Speech for encoder (16-bit pcm file)\n");
           fprintf(stderr,
           "   encoded : Encoded bit stream\n");
           fprintf(stderr,
           "   decoded : Decoded speech (16-bit pcm file)\n");
           fprintf(stderr,
           "   channel : Packet loss pattern, optional (16-bit)\n");
           fprintf(stderr,
           "                  1 - Packet received correctly\n");
           fprintf(stderr,
           "                  0 - Packet Lost\n");
           fprintf(stderr,
           "*-----------------------------------------------*\n\n");
           exit(1);
       }
       mode=atoi(argv[1]);
       if (mode != 20 && mode != 30) {
           fprintf(stderr,"Wrong mode %s, must be 20, or 30\n",
               argv[1]);
           exit(2);
       }
       if ( (ifileid=fopen(argv[2],"rb")) == NULL) {
           fprintf(stderr,"Cannot open input file %s\n", argv[2]);
           exit(2);}
       if ( (efileid=fopen(argv[3],"wb")) == NULL) {
           fprintf(stderr, "Cannot open encoded file %s\n",
               argv[3]); exit(1);}
       if ( (ofileid=fopen(argv[4],"wb")) == NULL) {
           fprintf(stderr, "Cannot open decoded file %s\n",
               argv[4]); exit(1);}
       if (argc==6) {
           if( (cfileid=fopen(argv[5],"rb")) == NULL) {
               fprintf(stderr, "Cannot open channel file %s\n",



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                   argv[5]);
               exit(1);
           }
       } else {
           cfileid=NULL;
       }

       /* print info */

       fprintf(stderr, "\n");
       fprintf(stderr,
           "*---------------------------------------------------*\n");
       fprintf(stderr,
           "*                                                   *\n");
       fprintf(stderr,
           "*      iLBC test program                            *\n");
       fprintf(stderr,
           "*                                                   *\n");
       fprintf(stderr,
           "*                                                   *\n");
       fprintf(stderr,
           "*---------------------------------------------------*\n");
       fprintf(stderr,"\nMode           : %2d ms\n", mode);
       fprintf(stderr,"Input file     : %s\n", argv[2]);
       fprintf(stderr,"Encoded file   : %s\n", argv[3]);
       fprintf(stderr,"Output file    : %s\n", argv[4]);
       if (argc==6) {
           fprintf(stderr,"Channel file   : %s\n", argv[5]);
       }
       fprintf(stderr,"\n");

       /* Initialization */

       initEncode(&Enc_Inst, mode);
       initDecode(&Dec_Inst, mode, 1);

       /* Runtime statistics */

       starttime=clock()/(float)CLOCKS_PER_SEC;

       /* loop over input blocks */

       while (fread(data,sizeof(short),Enc_Inst.blockl,ifileid)==
               Enc_Inst.blockl) {

           blockcount++;

           /* encoding */



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           fprintf(stderr, "--- Encoding block %i --- ",blockcount);
           len=encode(&Enc_Inst, encoded_data, data);
           fprintf(stderr, "\r");

           /* write byte file */

           fwrite(encoded_data, sizeof(unsigned char), len, efileid);

           /* get channel data if provided */
           if (argc==6) {
               if (fread(&pli, sizeof(short), 1, cfileid)) {
                   if ((pli!=0)&&(pli!=1)) {
                       fprintf(stderr, "Error in channel file\n");
                       exit(0);
                   }
                   if (pli==0) {
                       /* Packet loss -> remove info from frame */
                       memset(encoded_data, 0,
                           sizeof(short)*ILBCNOOFWORDS_MAX);
                       packetlosscount++;
                   }
               } else {
                   fprintf(stderr, "Error. Channel file too short\n");
                   exit(0);
               }
           } else {
               pli=1;
           }

           /* decoding */

           fprintf(stderr, "--- Decoding block %i --- ",blockcount);

           len=decode(&Dec_Inst, decoded_data, encoded_data, pli);
           fprintf(stderr, "\r");

           /* write output file */

           fwrite(decoded_data,sizeof(short),len,ofileid);
       }

       /* Runtime statistics */

       runtime = (float)(clock()/(float)CLOCKS_PER_SEC-starttime);
       outtime = (float)((float)blockcount*(float)mode/1000.0);
       printf("\n\nLength of speech file: %.1f s\n", outtime);
       printf("Packet loss          : %.1f%%\n",
           100.0*(float)packetlosscount/(float)blockcount);



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       printf("Time to run iLBC     :");
       printf(" %.1f s (%.1f %% of realtime)\n\n", runtime,
           (100*runtime/outtime));

       /* close files */

       fclose(ifileid);  fclose(efileid); fclose(ofileid);
       if (argc==6) {
           fclose(cfileid);
       }
       return(0);
   }

A.2.  iLBC_encode.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       iLBC_encode.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #ifndef __iLBC_ILBCENCODE_H
   #define __iLBC_ILBCENCODE_H

   #include "iLBC_define.h"

   short initEncode(                   /* (o) Number of bytes
                                              encoded */
       iLBC_Enc_Inst_t *iLBCenc_inst,  /* (i/o) Encoder instance */
       int mode                    /* (i) frame size mode */
   );

   void iLBC_encode(

       unsigned char *bytes,           /* (o) encoded data bits iLBC */
       float *block,                   /* (o) speech vector to
                                              encode */
       iLBC_Enc_Inst_t *iLBCenc_inst   /* (i/o) the general encoder
                                              state */
   );

   #endif




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A.3.  iLBC_encode.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       iLBC_encode.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include <math.h>
   #include <stdlib.h>
   #include <string.h>

   #include "iLBC_define.h"
   #include "LPCencode.h"
   #include "FrameClassify.h"
   #include "StateSearchW.h"
   #include "StateConstructW.h"
   #include "helpfun.h"
   #include "constants.h"
   #include "packing.h"
   #include "iCBSearch.h"
   #include "iCBConstruct.h"
   #include "hpInput.h"
   #include "anaFilter.h"
   #include "syntFilter.h"

   /*----------------------------------------------------------------*
    *  Initiation of encoder instance.
    *---------------------------------------------------------------*/

   short initEncode(                   /* (o) Number of bytes
                                              encoded */
       iLBC_Enc_Inst_t *iLBCenc_inst,  /* (i/o) Encoder instance */
       int mode                    /* (i) frame size mode */
   ){
       iLBCenc_inst->mode = mode;
       if (mode==30) {
           iLBCenc_inst->blockl = BLOCKL_30MS;
           iLBCenc_inst->nsub = NSUB_30MS;
           iLBCenc_inst->nasub = NASUB_30MS;
           iLBCenc_inst->lpc_n = LPC_N_30MS;
           iLBCenc_inst->no_of_bytes = NO_OF_BYTES_30MS;
           iLBCenc_inst->no_of_words = NO_OF_WORDS_30MS;



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           iLBCenc_inst->state_short_len=STATE_SHORT_LEN_30MS;
           /* ULP init */
           iLBCenc_inst->ULP_inst=&ULP_30msTbl;
       }
       else if (mode==20) {
           iLBCenc_inst->blockl = BLOCKL_20MS;
           iLBCenc_inst->nsub = NSUB_20MS;
           iLBCenc_inst->nasub = NASUB_20MS;
           iLBCenc_inst->lpc_n = LPC_N_20MS;
           iLBCenc_inst->no_of_bytes = NO_OF_BYTES_20MS;
           iLBCenc_inst->no_of_words = NO_OF_WORDS_20MS;
           iLBCenc_inst->state_short_len=STATE_SHORT_LEN_20MS;
           /* ULP init */
           iLBCenc_inst->ULP_inst=&ULP_20msTbl;
       }
       else {
           exit(2);
       }

       memset((*iLBCenc_inst).anaMem, 0,
           LPC_FILTERORDER*sizeof(float));
       memcpy((*iLBCenc_inst).lsfold, lsfmeanTbl,
           LPC_FILTERORDER*sizeof(float));
       memcpy((*iLBCenc_inst).lsfdeqold, lsfmeanTbl,
           LPC_FILTERORDER*sizeof(float));
       memset((*iLBCenc_inst).lpc_buffer, 0,
           (LPC_LOOKBACK+BLOCKL_MAX)*sizeof(float));
       memset((*iLBCenc_inst).hpimem, 0, 4*sizeof(float));

       return (iLBCenc_inst->no_of_bytes);
   }

   /*----------------------------------------------------------------*
    *  main encoder function
    *---------------------------------------------------------------*/

   void iLBC_encode(
       unsigned char *bytes,           /* (o) encoded data bits iLBC */
       float *block,                   /* (o) speech vector to
                                              encode */
       iLBC_Enc_Inst_t *iLBCenc_inst   /* (i/o) the general encoder
                                              state */
   ){

       float data[BLOCKL_MAX];
       float residual[BLOCKL_MAX], reverseResidual[BLOCKL_MAX];

       int start, idxForMax, idxVec[STATE_LEN];



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       float reverseDecresidual[BLOCKL_MAX], mem[CB_MEML];
       int n, k, meml_gotten, Nfor, Nback, i, pos;
       int gain_index[CB_NSTAGES*NASUB_MAX],
           extra_gain_index[CB_NSTAGES];
       int cb_index[CB_NSTAGES*NASUB_MAX],extra_cb_index[CB_NSTAGES];
       int lsf_i[LSF_NSPLIT*LPC_N_MAX];
       unsigned char *pbytes;
       int diff, start_pos, state_first;
       float en1, en2;
       int index, ulp, firstpart;
       int subcount, subframe;
       float weightState[LPC_FILTERORDER];
       float syntdenum[NSUB_MAX*(LPC_FILTERORDER+1)];
       float weightdenum[NSUB_MAX*(LPC_FILTERORDER+1)];
       float decresidual[BLOCKL_MAX];

       /* high pass filtering of input signal if such is not done
              prior to calling this function */

       hpInput(block, iLBCenc_inst->blockl,
                   data, (*iLBCenc_inst).hpimem);

       /* otherwise simply copy */

       /*memcpy(data,block,iLBCenc_inst->blockl*sizeof(float));*/

       /* LPC of hp filtered input data */

       LPCencode(syntdenum, weightdenum, lsf_i, data, iLBCenc_inst);


       /* inverse filter to get residual */

       for (n=0; n<iLBCenc_inst->nsub; n++) {
           anaFilter(&data[n*SUBL], &syntdenum[n*(LPC_FILTERORDER+1)],
               SUBL, &residual[n*SUBL], iLBCenc_inst->anaMem);
       }

       /* find state location */

       start = FrameClassify(iLBCenc_inst, residual);

       /* check if state should be in first or last part of the
       two subframes */

       diff = STATE_LEN - iLBCenc_inst->state_short_len;
       en1 = 0;
       index = (start-1)*SUBL;



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       for (i = 0; i < iLBCenc_inst->state_short_len; i++) {
           en1 += residual[index+i]*residual[index+i];
       }
       en2 = 0;
       index = (start-1)*SUBL+diff;
       for (i = 0; i < iLBCenc_inst->state_short_len; i++) {
           en2 += residual[index+i]*residual[index+i];
       }


       if (en1 > en2) {
           state_first = 1;
           start_pos = (start-1)*SUBL;
       } else {
           state_first = 0;
           start_pos = (start-1)*SUBL + diff;
       }

       /* scalar quantization of state */

       StateSearchW(iLBCenc_inst, &residual[start_pos],
           &syntdenum[(start-1)*(LPC_FILTERORDER+1)],
           &weightdenum[(start-1)*(LPC_FILTERORDER+1)], &idxForMax,
           idxVec, iLBCenc_inst->state_short_len, state_first);

       StateConstructW(idxForMax, idxVec,
           &syntdenum[(start-1)*(LPC_FILTERORDER+1)],
           &decresidual[start_pos], iLBCenc_inst->state_short_len);

       /* predictive quantization in state */

       if (state_first) { /* put adaptive part in the end */

           /* setup memory */

           memset(mem, 0,
               (CB_MEML-iLBCenc_inst->state_short_len)*sizeof(float));
           memcpy(mem+CB_MEML-iLBCenc_inst->state_short_len,
               decresidual+start_pos,
               iLBCenc_inst->state_short_len*sizeof(float));
           memset(weightState, 0, LPC_FILTERORDER*sizeof(float));

           /* encode sub-frames */

           iCBSearch(iLBCenc_inst, extra_cb_index, extra_gain_index,
               &residual[start_pos+iLBCenc_inst->state_short_len],
               mem+CB_MEML-stMemLTbl,
               stMemLTbl, diff, CB_NSTAGES,



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               &weightdenum[start*(LPC_FILTERORDER+1)],
               weightState, 0);

           /* construct decoded vector */

           iCBConstruct(
               &decresidual[start_pos+iLBCenc_inst->state_short_len],
               extra_cb_index, extra_gain_index,
               mem+CB_MEML-stMemLTbl,
               stMemLTbl, diff, CB_NSTAGES);

       }
       else { /* put adaptive part in the beginning */

           /* create reversed vectors for prediction */

           for (k=0; k<diff; k++) {
               reverseResidual[k] = residual[(start+1)*SUBL-1
                   -(k+iLBCenc_inst->state_short_len)];
           }

           /* setup memory */

           meml_gotten = iLBCenc_inst->state_short_len;
           for (k=0; k<meml_gotten; k++) {
               mem[CB_MEML-1-k] = decresidual[start_pos + k];
           }
           memset(mem, 0, (CB_MEML-k)*sizeof(float));
           memset(weightState, 0, LPC_FILTERORDER*sizeof(float));

           /* encode sub-frames */

           iCBSearch(iLBCenc_inst, extra_cb_index, extra_gain_index,
               reverseResidual, mem+CB_MEML-stMemLTbl, stMemLTbl,
               diff, CB_NSTAGES,
               &weightdenum[(start-1)*(LPC_FILTERORDER+1)],
               weightState, 0);

           /* construct decoded vector */

           iCBConstruct(reverseDecresidual, extra_cb_index,
               extra_gain_index, mem+CB_MEML-stMemLTbl, stMemLTbl,
               diff, CB_NSTAGES);

           /* get decoded residual from reversed vector */

           for (k=0; k<diff; k++) {
               decresidual[start_pos-1-k] = reverseDecresidual[k];



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           }
       }

       /* counter for predicted sub-frames */

       subcount=0;

       /* forward prediction of sub-frames */

       Nfor = iLBCenc_inst->nsub-start-1;


       if ( Nfor > 0 ) {

           /* setup memory */

           memset(mem, 0, (CB_MEML-STATE_LEN)*sizeof(float));
           memcpy(mem+CB_MEML-STATE_LEN, decresidual+(start-1)*SUBL,
               STATE_LEN*sizeof(float));
           memset(weightState, 0, LPC_FILTERORDER*sizeof(float));

           /* loop over sub-frames to encode */

           for (subframe=0; subframe<Nfor; subframe++) {

               /* encode sub-frame */

               iCBSearch(iLBCenc_inst, cb_index+subcount*CB_NSTAGES,
                   gain_index+subcount*CB_NSTAGES,
                   &residual[(start+1+subframe)*SUBL],
                   mem+CB_MEML-memLfTbl[subcount],
                   memLfTbl[subcount], SUBL, CB_NSTAGES,
                   &weightdenum[(start+1+subframe)*
                               (LPC_FILTERORDER+1)],
                   weightState, subcount+1);

               /* construct decoded vector */

               iCBConstruct(&decresidual[(start+1+subframe)*SUBL],
                   cb_index+subcount*CB_NSTAGES,
                   gain_index+subcount*CB_NSTAGES,
                   mem+CB_MEML-memLfTbl[subcount],
                   memLfTbl[subcount], SUBL, CB_NSTAGES);

               /* update memory */

               memcpy(mem, mem+SUBL, (CB_MEML-SUBL)*sizeof(float));
               memcpy(mem+CB_MEML-SUBL,



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                   &decresidual[(start+1+subframe)*SUBL],
                   SUBL*sizeof(float));
               memset(weightState, 0, LPC_FILTERORDER*sizeof(float));

               subcount++;
           }
       }


       /* backward prediction of sub-frames */

       Nback = start-1;


       if ( Nback > 0 ) {

           /* create reverse order vectors */

           for (n=0; n<Nback; n++) {
               for (k=0; k<SUBL; k++) {
                   reverseResidual[n*SUBL+k] =
                       residual[(start-1)*SUBL-1-n*SUBL-k];
                   reverseDecresidual[n*SUBL+k] =
                       decresidual[(start-1)*SUBL-1-n*SUBL-k];
               }
           }

           /* setup memory */

           meml_gotten = SUBL*(iLBCenc_inst->nsub+1-start);


           if ( meml_gotten > CB_MEML ) {
               meml_gotten=CB_MEML;
           }
           for (k=0; k<meml_gotten; k++) {
               mem[CB_MEML-1-k] = decresidual[(start-1)*SUBL + k];
           }
           memset(mem, 0, (CB_MEML-k)*sizeof(float));
           memset(weightState, 0, LPC_FILTERORDER*sizeof(float));

           /* loop over sub-frames to encode */

           for (subframe=0; subframe<Nback; subframe++) {

               /* encode sub-frame */

               iCBSearch(iLBCenc_inst, cb_index+subcount*CB_NSTAGES,



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                   gain_index+subcount*CB_NSTAGES,
                   &reverseResidual[subframe*SUBL],
                   mem+CB_MEML-memLfTbl[subcount],
                   memLfTbl[subcount], SUBL, CB_NSTAGES,
                   &weightdenum[(start-2-subframe)*
                               (LPC_FILTERORDER+1)],
                   weightState, subcount+1);

               /* construct decoded vector */

               iCBConstruct(&reverseDecresidual[subframe*SUBL],
                   cb_index+subcount*CB_NSTAGES,
                   gain_index+subcount*CB_NSTAGES,
                   mem+CB_MEML-memLfTbl[subcount],
                   memLfTbl[subcount], SUBL, CB_NSTAGES);

               /* update memory */

               memcpy(mem, mem+SUBL, (CB_MEML-SUBL)*sizeof(float));
               memcpy(mem+CB_MEML-SUBL,
                   &reverseDecresidual[subframe*SUBL],
                   SUBL*sizeof(float));
               memset(weightState, 0, LPC_FILTERORDER*sizeof(float));

               subcount++;

           }

           /* get decoded residual from reversed vector */

           for (i=0; i<SUBL*Nback; i++) {
               decresidual[SUBL*Nback - i - 1] =
                   reverseDecresidual[i];
           }
       }
       /* end encoding part */

       /* adjust index */
       index_conv_enc(cb_index);

       /* pack bytes */

       pbytes=bytes;
       pos=0;

       /* loop over the 3 ULP classes */

       for (ulp=0; ulp<3; ulp++) {



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           /* LSF */
           for (k=0; k<LSF_NSPLIT*iLBCenc_inst->lpc_n; k++) {
               packsplit(&lsf_i[k], &firstpart, &lsf_i[k],
                   iLBCenc_inst->ULP_inst->lsf_bits[k][ulp],
                   iLBCenc_inst->ULP_inst->lsf_bits[k][ulp]+
                   iLBCenc_inst->ULP_inst->lsf_bits[k][ulp+1]+
                   iLBCenc_inst->ULP_inst->lsf_bits[k][ulp+2]);
               dopack( &pbytes, firstpart,
                   iLBCenc_inst->ULP_inst->lsf_bits[k][ulp], &pos);
           }

           /* Start block info */

           packsplit(&start, &firstpart, &start,
               iLBCenc_inst->ULP_inst->start_bits[ulp],
               iLBCenc_inst->ULP_inst->start_bits[ulp]+
               iLBCenc_inst->ULP_inst->start_bits[ulp+1]+
               iLBCenc_inst->ULP_inst->start_bits[ulp+2]);
           dopack( &pbytes, firstpart,
               iLBCenc_inst->ULP_inst->start_bits[ulp], &pos);

           packsplit(&state_first, &firstpart, &state_first,
               iLBCenc_inst->ULP_inst->startfirst_bits[ulp],
               iLBCenc_inst->ULP_inst->startfirst_bits[ulp]+
               iLBCenc_inst->ULP_inst->startfirst_bits[ulp+1]+
               iLBCenc_inst->ULP_inst->startfirst_bits[ulp+2]);
           dopack( &pbytes, firstpart,
               iLBCenc_inst->ULP_inst->startfirst_bits[ulp], &pos);

           packsplit(&idxForMax, &firstpart, &idxForMax,
               iLBCenc_inst->ULP_inst->scale_bits[ulp],
               iLBCenc_inst->ULP_inst->scale_bits[ulp]+
               iLBCenc_inst->ULP_inst->scale_bits[ulp+1]+
               iLBCenc_inst->ULP_inst->scale_bits[ulp+2]);
           dopack( &pbytes, firstpart,
               iLBCenc_inst->ULP_inst->scale_bits[ulp], &pos);

           for (k=0; k<iLBCenc_inst->state_short_len; k++) {
               packsplit(idxVec+k, &firstpart, idxVec+k,
                   iLBCenc_inst->ULP_inst->state_bits[ulp],
                   iLBCenc_inst->ULP_inst->state_bits[ulp]+
                   iLBCenc_inst->ULP_inst->state_bits[ulp+1]+
                   iLBCenc_inst->ULP_inst->state_bits[ulp+2]);
               dopack( &pbytes, firstpart,
                   iLBCenc_inst->ULP_inst->state_bits[ulp], &pos);
           }




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           /* 23/22 (20ms/30ms) sample block */

           for (k=0;k<CB_NSTAGES;k++) {
               packsplit(extra_cb_index+k, &firstpart,
                   extra_cb_index+k,
                   iLBCenc_inst->ULP_inst->extra_cb_index[k][ulp],
                   iLBCenc_inst->ULP_inst->extra_cb_index[k][ulp]+
                   iLBCenc_inst->ULP_inst->extra_cb_index[k][ulp+1]+
                   iLBCenc_inst->ULP_inst->extra_cb_index[k][ulp+2]);
               dopack( &pbytes, firstpart,
                   iLBCenc_inst->ULP_inst->extra_cb_index[k][ulp],
                   &pos);
           }

           for (k=0;k<CB_NSTAGES;k++) {
               packsplit(extra_gain_index+k, &firstpart,
                   extra_gain_index+k,
                   iLBCenc_inst->ULP_inst->extra_cb_gain[k][ulp],
                   iLBCenc_inst->ULP_inst->extra_cb_gain[k][ulp]+
                   iLBCenc_inst->ULP_inst->extra_cb_gain[k][ulp+1]+
                   iLBCenc_inst->ULP_inst->extra_cb_gain[k][ulp+2]);
               dopack( &pbytes, firstpart,
                   iLBCenc_inst->ULP_inst->extra_cb_gain[k][ulp],
                   &pos);
           }

           /* The two/four (20ms/30ms) 40 sample sub-blocks */

           for (i=0; i<iLBCenc_inst->nasub; i++) {
               for (k=0; k<CB_NSTAGES; k++) {
                   packsplit(cb_index+i*CB_NSTAGES+k, &firstpart,
                       cb_index+i*CB_NSTAGES+k,
                       iLBCenc_inst->ULP_inst->cb_index[i][k][ulp],
                       iLBCenc_inst->ULP_inst->cb_index[i][k][ulp]+
                       iLBCenc_inst->ULP_inst->cb_index[i][k][ulp+1]+
                       iLBCenc_inst->ULP_inst->cb_index[i][k][ulp+2]);
                   dopack( &pbytes, firstpart,
                       iLBCenc_inst->ULP_inst->cb_index[i][k][ulp],
                       &pos);
               }
           }

           for (i=0; i<iLBCenc_inst->nasub; i++) {
               for (k=0; k<CB_NSTAGES; k++) {
                   packsplit(gain_index+i*CB_NSTAGES+k, &firstpart,
                       gain_index+i*CB_NSTAGES+k,
                       iLBCenc_inst->ULP_inst->cb_gain[i][k][ulp],
                       iLBCenc_inst->ULP_inst->cb_gain[i][k][ulp]+



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                       iLBCenc_inst->ULP_inst->cb_gain[i][k][ulp+1]+
                       iLBCenc_inst->ULP_inst->cb_gain[i][k][ulp+2]);
                   dopack( &pbytes, firstpart,
                       iLBCenc_inst->ULP_inst->cb_gain[i][k][ulp],
                       &pos);
               }
           }
       }

       /* set the last bit to zero (otherwise the decoder
          will treat it as a lost frame) */
       dopack( &pbytes, 0, 1, &pos);
   }

A.4.  iLBC_decode.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       iLBC_decode.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #ifndef __iLBC_ILBCDECODE_H
   #define __iLBC_ILBCDECODE_H

   #include "iLBC_define.h"

   short initDecode(                   /* (o) Number of decoded
                                              samples */
       iLBC_Dec_Inst_t *iLBCdec_inst,  /* (i/o) Decoder instance */
       int mode,                       /* (i) frame size mode */
       int use_enhancer                /* (i) 1 to use enhancer
                                              0 to run without
                                                enhancer */
   );

   void iLBC_decode(
       float *decblock,            /* (o) decoded signal block */
       unsigned char *bytes,           /* (i) encoded signal bits */
       iLBC_Dec_Inst_t *iLBCdec_inst,  /* (i/o) the decoder state
                                                structure */
       int mode                    /* (i) 0: bad packet, PLC,
                                              1: normal */



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   );

   #endif

A.5.  iLBC_decode.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       iLBC_decode.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include <math.h>
   #include <stdlib.h>

   #include "iLBC_define.h"
   #include "StateConstructW.h"
   #include "LPCdecode.h"
   #include "iCBConstruct.h"
   #include "doCPLC.h"
   #include "helpfun.h"
   #include "constants.h"
   #include "packing.h"
   #include "string.h"
   #include "enhancer.h"
   #include "hpOutput.h"
   #include "syntFilter.h"

   /*----------------------------------------------------------------*
    *  Initiation of decoder instance.
    *---------------------------------------------------------------*/

   short initDecode(                   /* (o) Number of decoded
                                              samples */
       iLBC_Dec_Inst_t *iLBCdec_inst,  /* (i/o) Decoder instance */
       int mode,                       /* (i) frame size mode */
       int use_enhancer                /* (i) 1 to use enhancer
                                              0 to run without
                                                enhancer */
   ){
       int i;

       iLBCdec_inst->mode = mode;



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       if (mode==30) {
           iLBCdec_inst->blockl = BLOCKL_30MS;
           iLBCdec_inst->nsub = NSUB_30MS;
           iLBCdec_inst->nasub = NASUB_30MS;
           iLBCdec_inst->lpc_n = LPC_N_30MS;
           iLBCdec_inst->no_of_bytes = NO_OF_BYTES_30MS;
           iLBCdec_inst->no_of_words = NO_OF_WORDS_30MS;
           iLBCdec_inst->state_short_len=STATE_SHORT_LEN_30MS;
           /* ULP init */
           iLBCdec_inst->ULP_inst=&ULP_30msTbl;
       }
       else if (mode==20) {
           iLBCdec_inst->blockl = BLOCKL_20MS;
           iLBCdec_inst->nsub = NSUB_20MS;
           iLBCdec_inst->nasub = NASUB_20MS;
           iLBCdec_inst->lpc_n = LPC_N_20MS;
           iLBCdec_inst->no_of_bytes = NO_OF_BYTES_20MS;
           iLBCdec_inst->no_of_words = NO_OF_WORDS_20MS;
           iLBCdec_inst->state_short_len=STATE_SHORT_LEN_20MS;
           /* ULP init */
           iLBCdec_inst->ULP_inst=&ULP_20msTbl;
       }
       else {
           exit(2);
       }

       memset(iLBCdec_inst->syntMem, 0,
           LPC_FILTERORDER*sizeof(float));
       memcpy((*iLBCdec_inst).lsfdeqold, lsfmeanTbl,
           LPC_FILTERORDER*sizeof(float));

       memset(iLBCdec_inst->old_syntdenum, 0,
           ((LPC_FILTERORDER + 1)*NSUB_MAX)*sizeof(float));
       for (i=0; i<NSUB_MAX; i++)
           iLBCdec_inst->old_syntdenum[i*(LPC_FILTERORDER+1)]=1.0;

       iLBCdec_inst->last_lag = 20;

       iLBCdec_inst->prevLag = 120;
       iLBCdec_inst->per = 0.0;
       iLBCdec_inst->consPLICount = 0;
       iLBCdec_inst->prevPLI = 0;
       iLBCdec_inst->prevLpc[0] = 1.0;
       memset(iLBCdec_inst->prevLpc+1,0,
           LPC_FILTERORDER*sizeof(float));
       memset(iLBCdec_inst->prevResidual, 0, BLOCKL_MAX*sizeof(float));
       iLBCdec_inst->seed=777;




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       memset(iLBCdec_inst->hpomem, 0, 4*sizeof(float));

       iLBCdec_inst->use_enhancer = use_enhancer;
       memset(iLBCdec_inst->enh_buf, 0, ENH_BUFL*sizeof(float));
       for (i=0;i<ENH_NBLOCKS_TOT;i++)
           iLBCdec_inst->enh_period[i]=(float)40.0;

       iLBCdec_inst->prev_enh_pl = 0;

       return (iLBCdec_inst->blockl);
   }

   /*----------------------------------------------------------------*
    *  frame residual decoder function (subroutine to iLBC_decode)
    *---------------------------------------------------------------*/

   void Decode(
       iLBC_Dec_Inst_t *iLBCdec_inst,  /* (i/o) the decoder state
                                                structure */
       float *decresidual,             /* (o) decoded residual frame */
       int start,                      /* (i) location of start
                                              state */
       int idxForMax,                  /* (i) codebook index for the
                                              maximum value */
       int *idxVec,                /* (i) codebook indexes for the
                                              samples  in the start
                                              state */
       float *syntdenum,               /* (i) the decoded synthesis
                                              filter coefficients */
       int *cb_index,                  /* (i) the indexes for the
                                              adaptive codebook */
       int *gain_index,            /* (i) the indexes for the
                                              corresponding gains */
       int *extra_cb_index,        /* (i) the indexes for the
                                              adaptive codebook part
                                              of start state */
       int *extra_gain_index,          /* (i) the indexes for the
                                              corresponding gains */
       int state_first                 /* (i) 1 if non adaptive part
                                              of start state comes
                                              first 0 if that part
                                              comes last */
   ){
       float reverseDecresidual[BLOCKL_MAX], mem[CB_MEML];
       int k, meml_gotten, Nfor, Nback, i;
       int diff, start_pos;
       int subcount, subframe;




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       diff = STATE_LEN - iLBCdec_inst->state_short_len;

       if (state_first == 1) {
           start_pos = (start-1)*SUBL;
       } else {
           start_pos = (start-1)*SUBL + diff;
       }

       /* decode scalar part of start state */

       StateConstructW(idxForMax, idxVec,
           &syntdenum[(start-1)*(LPC_FILTERORDER+1)],
           &decresidual[start_pos], iLBCdec_inst->state_short_len);


       if (state_first) { /* put adaptive part in the end */

           /* setup memory */

           memset(mem, 0,
               (CB_MEML-iLBCdec_inst->state_short_len)*sizeof(float));
           memcpy(mem+CB_MEML-iLBCdec_inst->state_short_len,
               decresidual+start_pos,
               iLBCdec_inst->state_short_len*sizeof(float));

           /* construct decoded vector */

           iCBConstruct(
               &decresidual[start_pos+iLBCdec_inst->state_short_len],
               extra_cb_index, extra_gain_index, mem+CB_MEML-stMemLTbl,
               stMemLTbl, diff, CB_NSTAGES);

       }
       else {/* put adaptive part in the beginning */

           /* create reversed vectors for prediction */

           for (k=0; k<diff; k++) {
               reverseDecresidual[k] =
                   decresidual[(start+1)*SUBL-1-
                           (k+iLBCdec_inst->state_short_len)];
           }

           /* setup memory */

           meml_gotten = iLBCdec_inst->state_short_len;
           for (k=0; k<meml_gotten; k++){
               mem[CB_MEML-1-k] = decresidual[start_pos + k];



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           }
           memset(mem, 0, (CB_MEML-k)*sizeof(float));

           /* construct decoded vector */

           iCBConstruct(reverseDecresidual, extra_cb_index,
               extra_gain_index, mem+CB_MEML-stMemLTbl, stMemLTbl,
               diff, CB_NSTAGES);

           /* get decoded residual from reversed vector */

           for (k=0; k<diff; k++) {
               decresidual[start_pos-1-k] = reverseDecresidual[k];
           }
       }

       /* counter for predicted sub-frames */

       subcount=0;

       /* forward prediction of sub-frames */

       Nfor = iLBCdec_inst->nsub-start-1;

       if ( Nfor > 0 ){

           /* setup memory */

           memset(mem, 0, (CB_MEML-STATE_LEN)*sizeof(float));
           memcpy(mem+CB_MEML-STATE_LEN, decresidual+(start-1)*SUBL,
               STATE_LEN*sizeof(float));

           /* loop over sub-frames to encode */

           for (subframe=0; subframe<Nfor; subframe++) {

               /* construct decoded vector */

               iCBConstruct(&decresidual[(start+1+subframe)*SUBL],
                   cb_index+subcount*CB_NSTAGES,
                   gain_index+subcount*CB_NSTAGES,
                   mem+CB_MEML-memLfTbl[subcount],
                   memLfTbl[subcount], SUBL, CB_NSTAGES);

               /* update memory */

               memcpy(mem, mem+SUBL, (CB_MEML-SUBL)*sizeof(float));
               memcpy(mem+CB_MEML-SUBL,



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                   &decresidual[(start+1+subframe)*SUBL],
                   SUBL*sizeof(float));

               subcount++;

           }

       }

       /* backward prediction of sub-frames */

       Nback = start-1;

       if ( Nback > 0 ) {

           /* setup memory */

           meml_gotten = SUBL*(iLBCdec_inst->nsub+1-start);

           if ( meml_gotten > CB_MEML ) {
               meml_gotten=CB_MEML;
           }
           for (k=0; k<meml_gotten; k++) {
               mem[CB_MEML-1-k] = decresidual[(start-1)*SUBL + k];
           }
           memset(mem, 0, (CB_MEML-k)*sizeof(float));

           /* loop over subframes to decode */

           for (subframe=0; subframe<Nback; subframe++) {

               /* construct decoded vector */

               iCBConstruct(&reverseDecresidual[subframe*SUBL],
                   cb_index+subcount*CB_NSTAGES,
                   gain_index+subcount*CB_NSTAGES,
                   mem+CB_MEML-memLfTbl[subcount], memLfTbl[subcount],
                   SUBL, CB_NSTAGES);

               /* update memory */

               memcpy(mem, mem+SUBL, (CB_MEML-SUBL)*sizeof(float));
               memcpy(mem+CB_MEML-SUBL,
                   &reverseDecresidual[subframe*SUBL],
                   SUBL*sizeof(float));

               subcount++;
           }



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           /* get decoded residual from reversed vector */

           for (i=0; i<SUBL*Nback; i++)
               decresidual[SUBL*Nback - i - 1] =
               reverseDecresidual[i];
       }
   }

   /*----------------------------------------------------------------*
    *  main decoder function
    *---------------------------------------------------------------*/

   void iLBC_decode(
       float *decblock,            /* (o) decoded signal block */
       unsigned char *bytes,           /* (i) encoded signal bits */
       iLBC_Dec_Inst_t *iLBCdec_inst,  /* (i/o) the decoder state
                                                structure */
       int mode                    /* (i) 0: bad packet, PLC,
                                              1: normal */
   ){
       float data[BLOCKL_MAX];
       float lsfdeq[LPC_FILTERORDER*LPC_N_MAX];
       float PLCresidual[BLOCKL_MAX], PLClpc[LPC_FILTERORDER + 1];
       float zeros[BLOCKL_MAX], one[LPC_FILTERORDER + 1];
       int k, i, start, idxForMax, pos, lastpart, ulp;
       int lag, ilag;
       float cc, maxcc;
       int idxVec[STATE_LEN];
       int check;
       int gain_index[NASUB_MAX*CB_NSTAGES],
           extra_gain_index[CB_NSTAGES];
       int cb_index[CB_NSTAGES*NASUB_MAX], extra_cb_index[CB_NSTAGES];
       int lsf_i[LSF_NSPLIT*LPC_N_MAX];
       int state_first;
       int last_bit;
       unsigned char *pbytes;
       float weightdenum[(LPC_FILTERORDER + 1)*NSUB_MAX];
       int order_plus_one;
       float syntdenum[NSUB_MAX*(LPC_FILTERORDER+1)];
       float decresidual[BLOCKL_MAX];

       if (mode>0) { /* the data are good */

           /* decode data */

           pbytes=bytes;
           pos=0;




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           /* Set everything to zero before decoding */

           for (k=0; k<LSF_NSPLIT*LPC_N_MAX; k++) {
               lsf_i[k]=0;
           }
           start=0;
           state_first=0;
           idxForMax=0;
           for (k=0; k<iLBCdec_inst->state_short_len; k++) {
               idxVec[k]=0;
           }
           for (k=0; k<CB_NSTAGES; k++) {
               extra_cb_index[k]=0;
           }
           for (k=0; k<CB_NSTAGES; k++) {
               extra_gain_index[k]=0;
           }
           for (i=0; i<iLBCdec_inst->nasub; i++) {
               for (k=0; k<CB_NSTAGES; k++) {
                   cb_index[i*CB_NSTAGES+k]=0;
               }
           }
           for (i=0; i<iLBCdec_inst->nasub; i++) {
               for (k=0; k<CB_NSTAGES; k++) {
                   gain_index[i*CB_NSTAGES+k]=0;
               }
           }

           /* loop over ULP classes */

           for (ulp=0; ulp<3; ulp++) {

               /* LSF */
               for (k=0; k<LSF_NSPLIT*iLBCdec_inst->lpc_n; k++){
                   unpack( &pbytes, &lastpart,
                       iLBCdec_inst->ULP_inst->lsf_bits[k][ulp], &pos);
                   packcombine(&lsf_i[k], lastpart,
                       iLBCdec_inst->ULP_inst->lsf_bits[k][ulp]);
               }

               /* Start block info */

               unpack( &pbytes, &lastpart,
                   iLBCdec_inst->ULP_inst->start_bits[ulp], &pos);
               packcombine(&start, lastpart,
                   iLBCdec_inst->ULP_inst->start_bits[ulp]);

               unpack( &pbytes, &lastpart,



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                   iLBCdec_inst->ULP_inst->startfirst_bits[ulp], &pos);
               packcombine(&state_first, lastpart,
                   iLBCdec_inst->ULP_inst->startfirst_bits[ulp]);

               unpack( &pbytes, &lastpart,
                   iLBCdec_inst->ULP_inst->scale_bits[ulp], &pos);
               packcombine(&idxForMax, lastpart,
                   iLBCdec_inst->ULP_inst->scale_bits[ulp]);

               for (k=0; k<iLBCdec_inst->state_short_len; k++) {
                   unpack( &pbytes, &lastpart,
                       iLBCdec_inst->ULP_inst->state_bits[ulp], &pos);
                   packcombine(idxVec+k, lastpart,
                       iLBCdec_inst->ULP_inst->state_bits[ulp]);
               }

               /* 23/22 (20ms/30ms) sample block */

               for (k=0; k<CB_NSTAGES; k++) {
                   unpack( &pbytes, &lastpart,
                       iLBCdec_inst->ULP_inst->extra_cb_index[k][ulp],
                       &pos);
                   packcombine(extra_cb_index+k, lastpart,
                       iLBCdec_inst->ULP_inst->extra_cb_index[k][ulp]);
               }
               for (k=0; k<CB_NSTAGES; k++) {
                   unpack( &pbytes, &lastpart,
                       iLBCdec_inst->ULP_inst->extra_cb_gain[k][ulp],
                       &pos);
                   packcombine(extra_gain_index+k, lastpart,
                       iLBCdec_inst->ULP_inst->extra_cb_gain[k][ulp]);
               }

               /* The two/four (20ms/30ms) 40 sample sub-blocks */

               for (i=0; i<iLBCdec_inst->nasub; i++) {
                   for (k=0; k<CB_NSTAGES; k++) {
                       unpack( &pbytes, &lastpart,
                       iLBCdec_inst->ULP_inst->cb_index[i][k][ulp],
                           &pos);
                       packcombine(cb_index+i*CB_NSTAGES+k, lastpart,
                       iLBCdec_inst->ULP_inst->cb_index[i][k][ulp]);
                   }
               }

               for (i=0; i<iLBCdec_inst->nasub; i++) {
                   for (k=0; k<CB_NSTAGES; k++) {
                       unpack( &pbytes, &lastpart,



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                       iLBCdec_inst->ULP_inst->cb_gain[i][k][ulp],
                           &pos);
                       packcombine(gain_index+i*CB_NSTAGES+k, lastpart,
                           iLBCdec_inst->ULP_inst->cb_gain[i][k][ulp]);
                   }
               }
           }
           /* Extract last bit. If it is 1 this indicates an
              empty/lost frame */
           unpack( &pbytes, &last_bit, 1, &pos);

           /* Check for bit errors or empty/lost frames */
           if (start<1)
               mode = 0;
           if (iLBCdec_inst->mode==20 && start>3)
               mode = 0;
           if (iLBCdec_inst->mode==30 && start>5)
               mode = 0;
           if (last_bit==1)
               mode = 0;

           if (mode==1) { /* No bit errors was detected,
                             continue decoding */

               /* adjust index */
               index_conv_dec(cb_index);

               /* decode the lsf */

               SimplelsfDEQ(lsfdeq, lsf_i, iLBCdec_inst->lpc_n);
               check=LSF_check(lsfdeq, LPC_FILTERORDER,
                   iLBCdec_inst->lpc_n);
               DecoderInterpolateLSF(syntdenum, weightdenum,
                   lsfdeq, LPC_FILTERORDER, iLBCdec_inst);

               Decode(iLBCdec_inst, decresidual, start, idxForMax,
                   idxVec, syntdenum, cb_index, gain_index,
                   extra_cb_index, extra_gain_index,
                   state_first);

               /* preparing the plc for a future loss! */

               doThePLC(PLCresidual, PLClpc, 0, decresidual,
                   syntdenum +
                   (LPC_FILTERORDER + 1)*(iLBCdec_inst->nsub - 1),
                   (*iLBCdec_inst).last_lag, iLBCdec_inst);





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               memcpy(decresidual, PLCresidual,
                   iLBCdec_inst->blockl*sizeof(float));
           }

       }

       if (mode == 0) {
           /* the data is bad (either a PLC call
            * was made or a severe bit error was detected)
            */

           /* packet loss conceal */

           memset(zeros, 0, BLOCKL_MAX*sizeof(float));

           one[0] = 1;
           memset(one+1, 0, LPC_FILTERORDER*sizeof(float));

           start=0;

           doThePLC(PLCresidual, PLClpc, 1, zeros, one,
               (*iLBCdec_inst).last_lag, iLBCdec_inst);
           memcpy(decresidual, PLCresidual,
               iLBCdec_inst->blockl*sizeof(float));

           order_plus_one = LPC_FILTERORDER + 1;
           for (i = 0; i < iLBCdec_inst->nsub; i++) {
               memcpy(syntdenum+(i*order_plus_one), PLClpc,
                   order_plus_one*sizeof(float));
           }
       }

       if (iLBCdec_inst->use_enhancer == 1) {

           /* post filtering */

           iLBCdec_inst->last_lag =
               enhancerInterface(data, decresidual, iLBCdec_inst);

           /* synthesis filtering */

           if (iLBCdec_inst->mode==20) {
               /* Enhancer has 40 samples delay */
               i=0;
               syntFilter(data + i*SUBL,
                   iLBCdec_inst->old_syntdenum +
                   (i+iLBCdec_inst->nsub-1)*(LPC_FILTERORDER+1),
                   SUBL, iLBCdec_inst->syntMem);



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               for (i=1; i < iLBCdec_inst->nsub; i++) {
                   syntFilter(data + i*SUBL,
                       syntdenum + (i-1)*(LPC_FILTERORDER+1),
                       SUBL, iLBCdec_inst->syntMem);
               }
           } else if (iLBCdec_inst->mode==30) {
               /* Enhancer has 80 samples delay */
               for (i=0; i < 2; i++) {
                   syntFilter(data + i*SUBL,
                       iLBCdec_inst->old_syntdenum +
                       (i+iLBCdec_inst->nsub-2)*(LPC_FILTERORDER+1),
                       SUBL, iLBCdec_inst->syntMem);
               }
               for (i=2; i < iLBCdec_inst->nsub; i++) {
                   syntFilter(data + i*SUBL,
                       syntdenum + (i-2)*(LPC_FILTERORDER+1), SUBL,
                       iLBCdec_inst->syntMem);
               }
           }

       } else {

           /* Find last lag */
           lag = 20;
           maxcc = xCorrCoef(&decresidual[BLOCKL_MAX-ENH_BLOCKL],
               &decresidual[BLOCKL_MAX-ENH_BLOCKL-lag], ENH_BLOCKL);

           for (ilag=21; ilag<120; ilag++) {
               cc = xCorrCoef(&decresidual[BLOCKL_MAX-ENH_BLOCKL],
                   &decresidual[BLOCKL_MAX-ENH_BLOCKL-ilag],
                   ENH_BLOCKL);

               if (cc > maxcc) {
                   maxcc = cc;
                   lag = ilag;
               }
           }
           iLBCdec_inst->last_lag = lag;

           /* copy data and run synthesis filter */

           memcpy(data, decresidual,
               iLBCdec_inst->blockl*sizeof(float));
           for (i=0; i < iLBCdec_inst->nsub; i++) {
               syntFilter(data + i*SUBL,
                   syntdenum + i*(LPC_FILTERORDER+1), SUBL,
                   iLBCdec_inst->syntMem);
           }



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       }

       /* high pass filtering on output if desired, otherwise
          copy to out */

       hpOutput(data, iLBCdec_inst->blockl,
                   decblock,iLBCdec_inst->hpomem);

       /* memcpy(decblock,data,iLBCdec_inst->blockl*sizeof(float));*/

       memcpy(iLBCdec_inst->old_syntdenum, syntdenum,

           iLBCdec_inst->nsub*(LPC_FILTERORDER+1)*sizeof(float));

       iLBCdec_inst->prev_enh_pl=0;

       if (mode==0) { /* PLC was used */
           iLBCdec_inst->prev_enh_pl=1;
       }
   }

A.6.  iLBC_define.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       iLBC_define.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/
   #include <string.h>

   #ifndef __iLBC_ILBCDEFINE_H
   #define __iLBC_ILBCDEFINE_H

   /* general codec settings */

   #define FS                      (float)8000.0
   #define BLOCKL_20MS             160
   #define BLOCKL_30MS             240
   #define BLOCKL_MAX              240
   #define NSUB_20MS               4
   #define NSUB_30MS               6
   #define NSUB_MAX            6
   #define NASUB_20MS              2



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   #define NASUB_30MS              4
   #define NASUB_MAX               4
   #define SUBL                40
   #define STATE_LEN               80
   #define STATE_SHORT_LEN_30MS    58
   #define STATE_SHORT_LEN_20MS    57

   /* LPC settings */

   #define LPC_FILTERORDER         10
   #define LPC_CHIRP_SYNTDENUM     (float)0.9025
   #define LPC_CHIRP_WEIGHTDENUM   (float)0.4222
   #define LPC_LOOKBACK        60
   #define LPC_N_20MS              1
   #define LPC_N_30MS              2
   #define LPC_N_MAX               2
   #define LPC_ASYMDIFF        20
   #define LPC_BW                  (float)60.0
   #define LPC_WN                  (float)1.0001
   #define LSF_NSPLIT              3
   #define LSF_NUMBER_OF_STEPS     4
   #define LPC_HALFORDER           (LPC_FILTERORDER/2)

   /* cb settings */

   #define CB_NSTAGES              3
   #define CB_EXPAND               2
   #define CB_MEML                 147
   #define CB_FILTERLEN        2*4
   #define CB_HALFFILTERLEN    4
   #define CB_RESRANGE             34
   #define CB_MAXGAIN              (float)1.3

   /* enhancer */

   #define ENH_BLOCKL              80  /* block length */
   #define ENH_BLOCKL_HALF         (ENH_BLOCKL/2)
   #define ENH_HL                  3   /* 2*ENH_HL+1 is number blocks
                                          in said second sequence */
   #define ENH_SLOP            2   /* max difference estimated and
                                          correct pitch period */
   #define ENH_PLOCSL              20  /* pitch-estimates and pitch-
                                          locations buffer length */
   #define ENH_OVERHANG        2
   #define ENH_UPS0            4   /* upsampling rate */
   #define ENH_FL0                 3   /* 2*FLO+1 is the length of
                                          each filter */
   #define ENH_VECTL               (ENH_BLOCKL+2*ENH_FL0)



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   #define ENH_CORRDIM             (2*ENH_SLOP+1)
   #define ENH_NBLOCKS             (BLOCKL_MAX/ENH_BLOCKL)
   #define ENH_NBLOCKS_EXTRA       5
   #define ENH_NBLOCKS_TOT         8   /* ENH_NBLOCKS +
                                          ENH_NBLOCKS_EXTRA */
   #define ENH_BUFL            (ENH_NBLOCKS_TOT)*ENH_BLOCKL
   #define ENH_ALPHA0              (float)0.05

   /* Down sampling */

   #define FILTERORDER_DS          7
   #define DELAY_DS            3
   #define FACTOR_DS               2

   /* bit stream defs */

   #define NO_OF_BYTES_20MS    38
   #define NO_OF_BYTES_30MS    50
   #define NO_OF_WORDS_20MS    19
   #define NO_OF_WORDS_30MS    25
   #define STATE_BITS              3
   #define BYTE_LEN            8
   #define ULP_CLASSES             3

   /* help parameters */

   #define FLOAT_MAX               (float)1.0e37
   #define EPS                     (float)2.220446049250313e-016
   #define PI                      (float)3.14159265358979323846
   #define MIN_SAMPLE              -32768
   #define MAX_SAMPLE              32767
   #define TWO_PI                  (float)6.283185307
   #define PI2                     (float)0.159154943

   /* type definition encoder instance */
   typedef struct iLBC_ULP_Inst_t_ {
       int lsf_bits[6][ULP_CLASSES+2];
       int start_bits[ULP_CLASSES+2];
       int startfirst_bits[ULP_CLASSES+2];
       int scale_bits[ULP_CLASSES+2];
       int state_bits[ULP_CLASSES+2];
       int extra_cb_index[CB_NSTAGES][ULP_CLASSES+2];
       int extra_cb_gain[CB_NSTAGES][ULP_CLASSES+2];
       int cb_index[NSUB_MAX][CB_NSTAGES][ULP_CLASSES+2];
       int cb_gain[NSUB_MAX][CB_NSTAGES][ULP_CLASSES+2];
   } iLBC_ULP_Inst_t;

   /* type definition encoder instance */



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   typedef struct iLBC_Enc_Inst_t_ {

       /* flag for frame size mode */
       int mode;

       /* basic parameters for different frame sizes */
       int blockl;
       int nsub;
       int nasub;
       int no_of_bytes, no_of_words;
       int lpc_n;
       int state_short_len;
       const iLBC_ULP_Inst_t *ULP_inst;

       /* analysis filter state */
       float anaMem[LPC_FILTERORDER];

       /* old lsf parameters for interpolation */
       float lsfold[LPC_FILTERORDER];
       float lsfdeqold[LPC_FILTERORDER];

       /* signal buffer for LP analysis */
       float lpc_buffer[LPC_LOOKBACK + BLOCKL_MAX];

       /* state of input HP filter */
       float hpimem[4];

   } iLBC_Enc_Inst_t;

   /* type definition decoder instance */
   typedef struct iLBC_Dec_Inst_t_ {

       /* flag for frame size mode */
       int mode;

       /* basic parameters for different frame sizes */
       int blockl;
       int nsub;
       int nasub;
       int no_of_bytes, no_of_words;
       int lpc_n;
       int state_short_len;
       const iLBC_ULP_Inst_t *ULP_inst;

       /* synthesis filter state */
       float syntMem[LPC_FILTERORDER];

       /* old LSF for interpolation */



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       float lsfdeqold[LPC_FILTERORDER];

       /* pitch lag estimated in enhancer and used in PLC */
       int last_lag;

       /* PLC state information */
       int prevLag, consPLICount, prevPLI, prev_enh_pl;
       float prevLpc[LPC_FILTERORDER+1];
       float prevResidual[NSUB_MAX*SUBL];
       float per;
       unsigned long seed;

       /* previous synthesis filter parameters */
       float old_syntdenum[(LPC_FILTERORDER + 1)*NSUB_MAX];

       /* state of output HP filter */
       float hpomem[4];

       /* enhancer state information */
       int use_enhancer;
       float enh_buf[ENH_BUFL];
       float enh_period[ENH_NBLOCKS_TOT];

   } iLBC_Dec_Inst_t;

   #endif

A.7.  constants.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       constants.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #ifndef __iLBC_CONSTANTS_H
   #define __iLBC_CONSTANTS_H

   #include "iLBC_define.h"


   /* ULP bit allocation */




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   extern const iLBC_ULP_Inst_t ULP_20msTbl;
   extern const iLBC_ULP_Inst_t ULP_30msTbl;

   /* high pass filters */

   extern float hpi_zero_coefsTbl[];
   extern float hpi_pole_coefsTbl[];
   extern float hpo_zero_coefsTbl[];
   extern float hpo_pole_coefsTbl[];

   /* low pass filters */
   extern float lpFilt_coefsTbl[];

   /* LPC analysis and quantization */

   extern float lpc_winTbl[];
   extern float lpc_asymwinTbl[];
   extern float lpc_lagwinTbl[];
   extern float lsfCbTbl[];
   extern float lsfmeanTbl[];
   extern int   dim_lsfCbTbl[];
   extern int   size_lsfCbTbl[];
   extern float lsf_weightTbl_30ms[];
   extern float lsf_weightTbl_20ms[];

   /* state quantization tables */

   extern float state_sq3Tbl[];
   extern float state_frgqTbl[];

   /* gain quantization tables */

   extern float gain_sq3Tbl[];
   extern float gain_sq4Tbl[];
   extern float gain_sq5Tbl[];

   /* adaptive codebook definitions */

   extern int search_rangeTbl[5][CB_NSTAGES];
   extern int memLfTbl[];
   extern int stMemLTbl;
   extern float cbfiltersTbl[CB_FILTERLEN];

   /* enhancer definitions */

   extern float polyphaserTbl[];
   extern float enh_plocsTbl[];




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   #endif

A.8.  constants.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       constants.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include "iLBC_define.h"

   /* ULP bit allocation */

       /* 20 ms frame */

   const iLBC_ULP_Inst_t ULP_20msTbl = {
       /* LSF */
       {   {6,0,0,0,0}, {7,0,0,0,0}, {7,0,0,0,0},
           {0,0,0,0,0}, {0,0,0,0,0}, {0,0,0,0,0}},
       /* Start state location, gain and samples */
       {2,0,0,0,0},
       {1,0,0,0,0},
       {6,0,0,0,0},
       {0,1,2,0,0},
       /* extra CB index and extra CB gain */
       {{6,0,1,0,0}, {0,0,7,0,0}, {0,0,7,0,0}},
       {{2,0,3,0,0}, {1,1,2,0,0}, {0,0,3,0,0}},
       /* CB index and CB gain */
       {   {{7,0,1,0,0}, {0,0,7,0,0}, {0,0,7,0,0}},
           {{0,0,8,0,0}, {0,0,8,0,0}, {0,0,8,0,0}},
           {{0,0,0,0,0}, {0,0,0,0,0}, {0,0,0,0,0}},
           {{0,0,0,0,0}, {0,0,0,0,0}, {0,0,0,0,0}}},
       {   {{1,2,2,0,0}, {1,1,2,0,0}, {0,0,3,0,0}},
           {{1,1,3,0,0}, {0,2,2,0,0}, {0,0,3,0,0}},
           {{0,0,0,0,0}, {0,0,0,0,0}, {0,0,0,0,0}},
           {{0,0,0,0,0}, {0,0,0,0,0}, {0,0,0,0,0}}}
   };

       /* 30 ms frame */

   const iLBC_ULP_Inst_t ULP_30msTbl = {
       /* LSF */



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       {   {6,0,0,0,0}, {7,0,0,0,0}, {7,0,0,0,0},
           {6,0,0,0,0}, {7,0,0,0,0}, {7,0,0,0,0}},
       /* Start state location, gain and samples */
       {3,0,0,0,0},
       {1,0,0,0,0},
       {6,0,0,0,0},
       {0,1,2,0,0},
       /* extra CB index and extra CB gain */
       {{4,2,1,0,0}, {0,0,7,0,0}, {0,0,7,0,0}},
       {{1,1,3,0,0}, {1,1,2,0,0}, {0,0,3,0,0}},
       /* CB index and CB gain */
       {   {{6,1,1,0,0}, {0,0,7,0,0}, {0,0,7,0,0}},
           {{0,7,1,0,0}, {0,0,8,0,0}, {0,0,8,0,0}},
           {{0,7,1,0,0}, {0,0,8,0,0}, {0,0,8,0,0}},
           {{0,7,1,0,0}, {0,0,8,0,0}, {0,0,8,0,0}}},
       {   {{1,2,2,0,0}, {1,2,1,0,0}, {0,0,3,0,0}},
           {{0,2,3,0,0}, {0,2,2,0,0}, {0,0,3,0,0}},
           {{0,1,4,0,0}, {0,1,3,0,0}, {0,0,3,0,0}},
           {{0,1,4,0,0}, {0,1,3,0,0}, {0,0,3,0,0}}}
   };

   /* HP Filters */

   float hpi_zero_coefsTbl[3] = {
       (float)0.92727436, (float)-1.8544941, (float)0.92727436
   };
   float hpi_pole_coefsTbl[3] = {
       (float)1.0, (float)-1.9059465, (float)0.9114024
   };
   float hpo_zero_coefsTbl[3] = {
       (float)0.93980581, (float)-1.8795834, (float)0.93980581
   };
   float hpo_pole_coefsTbl[3] = {
       (float)1.0, (float)-1.9330735, (float)0.93589199
   };

   /* LP Filter */

   float lpFilt_coefsTbl[FILTERORDER_DS]={
       (float)-0.066650, (float)0.125000, (float)0.316650,
       (float)0.414063, (float)0.316650,
       (float)0.125000, (float)-0.066650
   };

   /* State quantization tables */

   float state_sq3Tbl[8] = {
       (float)-3.719849, (float)-2.177490, (float)-1.130005,



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       (float)-0.309692, (float)0.444214, (float)1.329712,
       (float)2.436279, (float)3.983887
   };

   float state_frgqTbl[64] = {
       (float)1.000085, (float)1.071695, (float)1.140395,
       (float)1.206868, (float)1.277188, (float)1.351503,
       (float)1.429380, (float)1.500727, (float)1.569049,
       (float)1.639599, (float)1.707071, (float)1.781531,
       (float)1.840799, (float)1.901550, (float)1.956695,
       (float)2.006750, (float)2.055474, (float)2.102787,
       (float)2.142819, (float)2.183592, (float)2.217962,
       (float)2.257177, (float)2.295739, (float)2.332967,
       (float)2.369248, (float)2.402792, (float)2.435080,
       (float)2.468598, (float)2.503394, (float)2.539284,
       (float)2.572944, (float)2.605036, (float)2.636331,
       (float)2.668939, (float)2.698780, (float)2.729101,
       (float)2.759786, (float)2.789834, (float)2.818679,
       (float)2.848074, (float)2.877470, (float)2.906899,
       (float)2.936655, (float)2.967804, (float)3.000115,
       (float)3.033367, (float)3.066355, (float)3.104231,
       (float)3.141499, (float)3.183012, (float)3.222952,
       (float)3.265433, (float)3.308441, (float)3.350823,
       (float)3.395275, (float)3.442793, (float)3.490801,
       (float)3.542514, (float)3.604064, (float)3.666050,
       (float)3.740994, (float)3.830749, (float)3.938770,
       (float)4.101764
   };

   /* CB tables */

   int search_rangeTbl[5][CB_NSTAGES]={{58,58,58}, {108,44,44},
               {108,108,108}, {108,108,108}, {108,108,108}};
   int stMemLTbl=85;
   int memLfTbl[NASUB_MAX]={147,147,147,147};

   /* expansion filter(s) */

   float cbfiltersTbl[CB_FILTERLEN]={
       (float)-0.034180, (float)0.108887, (float)-0.184326,
       (float)0.806152,  (float)0.713379, (float)-0.144043,
       (float)0.083740,  (float)-0.033691
   };

   /* Gain Quantization */

   float gain_sq3Tbl[8]={
       (float)-1.000000,  (float)-0.659973,  (float)-0.330017,



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       (float)0.000000, (float)0.250000, (float)0.500000,
       (float)0.750000, (float)1.00000};

   float gain_sq4Tbl[16]={
       (float)-1.049988, (float)-0.900024, (float)-0.750000,
       (float)-0.599976, (float)-0.450012, (float)-0.299988,
       (float)-0.150024, (float)0.000000, (float)0.150024,
       (float)0.299988, (float)0.450012, (float)0.599976,
       (float)0.750000, (float)0.900024, (float)1.049988,
       (float)1.200012};

   float gain_sq5Tbl[32]={
       (float)0.037476, (float)0.075012, (float)0.112488,
       (float)0.150024, (float)0.187500, (float)0.224976,
       (float)0.262512, (float)0.299988, (float)0.337524,
       (float)0.375000, (float)0.412476, (float)0.450012,
       (float)0.487488, (float)0.525024, (float)0.562500,
       (float)0.599976, (float)0.637512, (float)0.674988,
       (float)0.712524, (float)0.750000, (float)0.787476,
       (float)0.825012, (float)0.862488, (float)0.900024,
       (float)0.937500, (float)0.974976, (float)1.012512,
       (float)1.049988, (float)1.087524, (float)1.125000,
       (float)1.162476, (float)1.200012};

   /* Enhancer - Upsampling a factor 4 (ENH_UPS0 = 4) */
   float polyphaserTbl[ENH_UPS0*(2*ENH_FL0+1)]={
       (float)0.000000, (float)0.000000, (float)0.000000,
   (float)1.000000,
           (float)0.000000, (float)0.000000, (float)0.000000,
       (float)0.015625, (float)-0.076904, (float)0.288330,
   (float)0.862061,
           (float)-0.106445, (float)0.018799, (float)-0.015625,
       (float)0.023682, (float)-0.124268, (float)0.601563,
   (float)0.601563,
           (float)-0.124268, (float)0.023682, (float)-0.023682,
       (float)0.018799, (float)-0.106445, (float)0.862061,
   (float)0.288330,
           (float)-0.076904, (float)0.015625, (float)-0.018799};

   float enh_plocsTbl[ENH_NBLOCKS_TOT] = {(float)40.0, (float)120.0,
               (float)200.0, (float)280.0, (float)360.0,
               (float)440.0, (float)520.0, (float)600.0};

   /* LPC analysis and quantization */

   int dim_lsfCbTbl[LSF_NSPLIT] = {3, 3, 4};
   int size_lsfCbTbl[LSF_NSPLIT] = {64,128,128};




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   float lsfmeanTbl[LPC_FILTERORDER] = {
       (float)0.281738, (float)0.445801, (float)0.663330,
       (float)0.962524, (float)1.251831, (float)1.533081,
       (float)1.850586, (float)2.137817, (float)2.481445,
       (float)2.777344};

   float lsf_weightTbl_30ms[6] = {(float)(1.0/2.0), (float)1.0,
   (float)(2.0/3.0),
       (float)(1.0/3.0), (float)0.0, (float)0.0};

   float lsf_weightTbl_20ms[4] = {(float)(3.0/4.0), (float)(2.0/4.0),
       (float)(1.0/4.0), (float)(0.0)};

   /* Hanning LPC window */
   float lpc_winTbl[BLOCKL_MAX]={
       (float)0.000183, (float)0.000671, (float)0.001526,
       (float)0.002716, (float)0.004242, (float)0.006104,
       (float)0.008301, (float)0.010834, (float)0.013702,
       (float)0.016907, (float)0.020416, (float)0.024261,
       (float)0.028442, (float)0.032928, (float)0.037750,
       (float)0.042877, (float)0.048309, (float)0.054047,
       (float)0.060089, (float)0.066437, (float)0.073090,
       (float)0.080017, (float)0.087219, (float)0.094727,
       (float)0.102509, (float)0.110535, (float)0.118835,
       (float)0.127411, (float)0.136230, (float)0.145294,
       (float)0.154602, (float)0.164154, (float)0.173920,
       (float)0.183899, (float)0.194122, (float)0.204529,
       (float)0.215149, (float)0.225952, (float)0.236938,
       (float)0.248108, (float)0.259460, (float)0.270966,
       (float)0.282654, (float)0.294464, (float)0.306396,
       (float)0.318481, (float)0.330688, (float)0.343018,
       (float)0.355438, (float)0.367981, (float)0.380585,
       (float)0.393280, (float)0.406067, (float)0.418884,
       (float)0.431763, (float)0.444702, (float)0.457672,
       (float)0.470673, (float)0.483704, (float)0.496735,
       (float)0.509766, (float)0.522797, (float)0.535828,
       (float)0.548798, (float)0.561768, (float)0.574677,
       (float)0.587524, (float)0.600342, (float)0.613068,
       (float)0.625732, (float)0.638306, (float)0.650787,
       (float)0.663147, (float)0.675415, (float)0.687561,
       (float)0.699585, (float)0.711487, (float)0.723206,
       (float)0.734802, (float)0.746216, (float)0.757477,
       (float)0.768585, (float)0.779480, (float)0.790192,
       (float)0.800720, (float)0.811005, (float)0.821106,
       (float)0.830994, (float)0.840668, (float)0.850067,
       (float)0.859253, (float)0.868225, (float)0.876892,
       (float)0.885345, (float)0.893524, (float)0.901428,
       (float)0.909058, (float)0.916412, (float)0.923492,



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       (float)0.930267, (float)0.936768, (float)0.942963,
       (float)0.948853, (float)0.954437, (float)0.959717,
       (float)0.964691, (float)0.969360, (float)0.973694,
       (float)0.977692, (float)0.981384, (float)0.984741,
       (float)0.987762, (float)0.990479, (float)0.992828,
       (float)0.994873, (float)0.996552, (float)0.997925,
       (float)0.998932, (float)0.999603, (float)0.999969,
       (float)0.999969, (float)0.999603, (float)0.998932,
       (float)0.997925, (float)0.996552, (float)0.994873,
       (float)0.992828, (float)0.990479, (float)0.987762,
       (float)0.984741, (float)0.981384, (float)0.977692,
       (float)0.973694, (float)0.969360, (float)0.964691,
       (float)0.959717, (float)0.954437, (float)0.948853,
       (float)0.942963, (float)0.936768, (float)0.930267,
       (float)0.923492, (float)0.916412, (float)0.909058,
       (float)0.901428, (float)0.893524, (float)0.885345,
       (float)0.876892, (float)0.868225, (float)0.859253,
       (float)0.850067, (float)0.840668, (float)0.830994,
       (float)0.821106, (float)0.811005, (float)0.800720,
       (float)0.790192, (float)0.779480, (float)0.768585,
       (float)0.757477, (float)0.746216, (float)0.734802,
       (float)0.723206, (float)0.711487, (float)0.699585,
       (float)0.687561, (float)0.675415, (float)0.663147,
       (float)0.650787, (float)0.638306, (float)0.625732,
       (float)0.613068, (float)0.600342, (float)0.587524,
       (float)0.574677, (float)0.561768, (float)0.548798,
       (float)0.535828, (float)0.522797, (float)0.509766,
       (float)0.496735, (float)0.483704, (float)0.470673,
       (float)0.457672, (float)0.444702, (float)0.431763,
       (float)0.418884, (float)0.406067, (float)0.393280,
       (float)0.380585, (float)0.367981, (float)0.355438,
       (float)0.343018, (float)0.330688, (float)0.318481,
       (float)0.306396, (float)0.294464, (float)0.282654,
       (float)0.270966, (float)0.259460, (float)0.248108,
       (float)0.236938, (float)0.225952, (float)0.215149,
       (float)0.204529, (float)0.194122, (float)0.183899,
       (float)0.173920, (float)0.164154, (float)0.154602,
       (float)0.145294, (float)0.136230, (float)0.127411,
       (float)0.118835, (float)0.110535, (float)0.102509,
       (float)0.094727, (float)0.087219, (float)0.080017,
       (float)0.073090, (float)0.066437, (float)0.060089,
       (float)0.054047, (float)0.048309, (float)0.042877,
       (float)0.037750, (float)0.032928, (float)0.028442,
       (float)0.024261, (float)0.020416, (float)0.016907,
       (float)0.013702, (float)0.010834, (float)0.008301,
       (float)0.006104, (float)0.004242, (float)0.002716,
       (float)0.001526, (float)0.000671, (float)0.000183
   };



Andersen, et al.              Experimental                     [Page 87]

RFC 3951              Internet Low Bit Rate Codec          December 2004


   /* Asymmetric LPC window */
   float lpc_asymwinTbl[BLOCKL_MAX]={
       (float)0.000061, (float)0.000214, (float)0.000458,
       (float)0.000824, (float)0.001282, (float)0.001831,
       (float)0.002472, (float)0.003235, (float)0.004120,
       (float)0.005066, (float)0.006134, (float)0.007294,
       (float)0.008545, (float)0.009918, (float)0.011383,
       (float)0.012939, (float)0.014587, (float)0.016357,
       (float)0.018219, (float)0.020172, (float)0.022217,
       (float)0.024353, (float)0.026611, (float)0.028961,
       (float)0.031372, (float)0.033905, (float)0.036530,
       (float)0.039276, (float)0.042084, (float)0.044983,
       (float)0.047974, (float)0.051086, (float)0.054260,
       (float)0.057526, (float)0.060883, (float)0.064331,
       (float)0.067871, (float)0.071503, (float)0.075226,
       (float)0.079010, (float)0.082916, (float)0.086884,
       (float)0.090942, (float)0.095062, (float)0.099304,
       (float)0.103607, (float)0.107971, (float)0.112427,
       (float)0.116974, (float)0.121582, (float)0.126282,
       (float)0.131073, (float)0.135895, (float)0.140839,
       (float)0.145813, (float)0.150879, (float)0.156006,
       (float)0.161224, (float)0.166504, (float)0.171844,
       (float)0.177246, (float)0.182709, (float)0.188263,
       (float)0.193848, (float)0.199524, (float)0.205231,
       (float)0.211029, (float)0.216858, (float)0.222778,
       (float)0.228729, (float)0.234741, (float)0.240814,
       (float)0.246918, (float)0.253082, (float)0.259308,
       (float)0.265564, (float)0.271881, (float)0.278259,
       (float)0.284668, (float)0.291107, (float)0.297607,
       (float)0.304138, (float)0.310730, (float)0.317322,
       (float)0.323975, (float)0.330658, (float)0.337372,
       (float)0.344147, (float)0.350922, (float)0.357727,
       (float)0.364594, (float)0.371460, (float)0.378357,
       (float)0.385284, (float)0.392212, (float)0.399170,
       (float)0.406158, (float)0.413177, (float)0.420197,
       (float)0.427246, (float)0.434296, (float)0.441376,
       (float)0.448456, (float)0.455536, (float)0.462646,
       (float)0.469757, (float)0.476868, (float)0.483978,
       (float)0.491089, (float)0.498230, (float)0.505341,
       (float)0.512451, (float)0.519592, (float)0.526703,
       (float)0.533813, (float)0.540924, (float)0.548004,
       (float)0.555084, (float)0.562164, (float)0.569244,
       (float)0.576294, (float)0.583313, (float)0.590332,
       (float)0.597321, (float)0.604309, (float)0.611267,
       (float)0.618195, (float)0.625092, (float)0.631989,
       (float)0.638855, (float)0.645660, (float)0.652466,
       (float)0.659241, (float)0.665985, (float)0.672668,
       (float)0.679352, (float)0.685974, (float)0.692566,



Andersen, et al.              Experimental                     [Page 88]

RFC 3951              Internet Low Bit Rate Codec          December 2004


       (float)0.699127, (float)0.705658, (float)0.712128,
       (float)0.718536, (float)0.724945, (float)0.731262,
       (float)0.737549, (float)0.743805, (float)0.750000,
       (float)0.756134, (float)0.762238, (float)0.768280,
       (float)0.774261, (float)0.780182, (float)0.786072,
       (float)0.791870, (float)0.797638, (float)0.803314,
       (float)0.808960, (float)0.814514, (float)0.820038,
       (float)0.825470, (float)0.830841, (float)0.836151,
       (float)0.841400, (float)0.846558, (float)0.851654,
       (float)0.856689, (float)0.861633, (float)0.866516,
       (float)0.871338, (float)0.876068, (float)0.880737,
       (float)0.885315, (float)0.889801, (float)0.894226,
       (float)0.898560, (float)0.902832, (float)0.907013,
       (float)0.911102, (float)0.915100, (float)0.919037,
       (float)0.922882, (float)0.926636, (float)0.930328,
       (float)0.933899, (float)0.937408, (float)0.940796,
       (float)0.944122, (float)0.947357, (float)0.950470,
       (float)0.953522, (float)0.956482, (float)0.959351,
       (float)0.962097, (float)0.964783, (float)0.967377,
       (float)0.969849, (float)0.972229, (float)0.974518,
       (float)0.976715, (float)0.978821, (float)0.980835,
       (float)0.982727, (float)0.984528, (float)0.986237,
       (float)0.987854, (float)0.989380, (float)0.990784,
       (float)0.992096, (float)0.993317, (float)0.994415,
       (float)0.995422, (float)0.996338, (float)0.997162,
       (float)0.997864, (float)0.998474, (float)0.998962,
       (float)0.999390, (float)0.999695, (float)0.999878,
       (float)0.999969, (float)0.999969, (float)0.996918,
       (float)0.987701, (float)0.972382, (float)0.951050,
       (float)0.923889, (float)0.891022, (float)0.852631,
       (float)0.809021, (float)0.760406, (float)0.707092,
       (float)0.649445, (float)0.587799, (float)0.522491,
       (float)0.453979, (float)0.382690, (float)0.309021,
       (float)0.233459, (float)0.156433, (float)0.078461
   };

   /* Lag window for LPC */
   float lpc_lagwinTbl[LPC_FILTERORDER + 1]={
       (float)1.000100, (float)0.998890, (float)0.995569,
           (float)0.990057, (float)0.982392,
       (float)0.972623, (float)0.960816, (float)0.947047,
           (float)0.931405, (float)0.913989, (float)0.894909};

   /* LSF quantization*/
   float lsfCbTbl[64 * 3 + 128 * 3 + 128 * 4] = {
   (float)0.155396, (float)0.273193, (float)0.451172,
   (float)0.390503, (float)0.648071, (float)1.002075,
   (float)0.440186, (float)0.692261, (float)0.955688,



Andersen, et al.              Experimental                     [Page 89]

RFC 3951              Internet Low Bit Rate Codec          December 2004


   (float)0.343628, (float)0.642334, (float)1.071533,
   (float)0.318359, (float)0.491577, (float)0.670532,
   (float)0.193115, (float)0.375488, (float)0.725708,
   (float)0.364136, (float)0.510376, (float)0.658691,
   (float)0.297485, (float)0.527588, (float)0.842529,
   (float)0.227173, (float)0.365967, (float)0.563110,
   (float)0.244995, (float)0.396729, (float)0.636475,
   (float)0.169434, (float)0.300171, (float)0.520264,
   (float)0.312866, (float)0.464478, (float)0.643188,
   (float)0.248535, (float)0.429932, (float)0.626099,
   (float)0.236206, (float)0.491333, (float)0.817139,
   (float)0.334961, (float)0.625122, (float)0.895752,
   (float)0.343018, (float)0.518555, (float)0.698608,
   (float)0.372803, (float)0.659790, (float)0.945435,
   (float)0.176880, (float)0.316528, (float)0.581421,
   (float)0.416382, (float)0.625977, (float)0.805176,
   (float)0.303223, (float)0.568726, (float)0.915039,
   (float)0.203613, (float)0.351440, (float)0.588135,
   (float)0.221191, (float)0.375000, (float)0.614746,
   (float)0.199951, (float)0.323364, (float)0.476074,
   (float)0.300781, (float)0.433350, (float)0.566895,
   (float)0.226196, (float)0.354004, (float)0.507568,
   (float)0.300049, (float)0.508179, (float)0.711670,
   (float)0.312012, (float)0.492676, (float)0.763428,
   (float)0.329956, (float)0.541016, (float)0.795776,
   (float)0.373779, (float)0.604614, (float)0.928833,
   (float)0.210571, (float)0.452026, (float)0.755249,
   (float)0.271118, (float)0.473267, (float)0.662476,
   (float)0.285522, (float)0.436890, (float)0.634399,
   (float)0.246704, (float)0.565552, (float)0.859009,
   (float)0.270508, (float)0.406250, (float)0.553589,
   (float)0.361450, (float)0.578491, (float)0.813843,
   (float)0.342651, (float)0.482788, (float)0.622437,
   (float)0.340332, (float)0.549438, (float)0.743164,
   (float)0.200439, (float)0.336304, (float)0.540894,
   (float)0.407837, (float)0.644775, (float)0.895142,
   (float)0.294678, (float)0.454834, (float)0.699097,
   (float)0.193115, (float)0.344482, (float)0.643188,
   (float)0.275757, (float)0.420776, (float)0.598755,
   (float)0.380493, (float)0.608643, (float)0.861084,
   (float)0.222778, (float)0.426147, (float)0.676514,
   (float)0.407471, (float)0.700195, (float)1.053101,
   (float)0.218384, (float)0.377197, (float)0.669922,
   (float)0.313232, (float)0.454102, (float)0.600952,
   (float)0.347412, (float)0.571533, (float)0.874146,
   (float)0.238037, (float)0.405396, (float)0.729492,
   (float)0.223877, (float)0.412964, (float)0.822021,
   (float)0.395264, (float)0.582153, (float)0.743896,



Andersen, et al.              Experimental                     [Page 90]

RFC 3951              Internet Low Bit Rate Codec          December 2004


   (float)0.247925, (float)0.485596, (float)0.720581,
   (float)0.229126, (float)0.496582, (float)0.907715,
   (float)0.260132, (float)0.566895, (float)1.012695,
   (float)0.337402, (float)0.611572, (float)0.978149,
   (float)0.267822, (float)0.447632, (float)0.769287,
   (float)0.250610, (float)0.381714, (float)0.530029,
   (float)0.430054, (float)0.805054, (float)1.221924,
   (float)0.382568, (float)0.544067, (float)0.701660,
   (float)0.383545, (float)0.710327, (float)1.149170,
   (float)0.271362, (float)0.529053, (float)0.775513,
   (float)0.246826, (float)0.393555, (float)0.588623,
   (float)0.266846, (float)0.422119, (float)0.676758,
   (float)0.311523, (float)0.580688, (float)0.838623,
   (float)1.331177, (float)1.576782, (float)1.779541,
   (float)1.160034, (float)1.401978, (float)1.768188,
   (float)1.161865, (float)1.525146, (float)1.715332,
   (float)0.759521, (float)0.913940, (float)1.119873,
   (float)0.947144, (float)1.121338, (float)1.282471,
   (float)1.015015, (float)1.557007, (float)1.804932,
   (float)1.172974, (float)1.402100, (float)1.692627,
   (float)1.087524, (float)1.474243, (float)1.665405,
   (float)0.899536, (float)1.105225, (float)1.406250,
   (float)1.148438, (float)1.484741, (float)1.796265,
   (float)0.785645, (float)1.209839, (float)1.567749,
   (float)0.867798, (float)1.166504, (float)1.450684,
   (float)0.922485, (float)1.229858, (float)1.420898,
   (float)0.791260, (float)1.123291, (float)1.409546,
   (float)0.788940, (float)0.966064, (float)1.340332,
   (float)1.051147, (float)1.272827, (float)1.556641,
   (float)0.866821, (float)1.181152, (float)1.538818,
   (float)0.906738, (float)1.373535, (float)1.607910,
   (float)1.244751, (float)1.581421, (float)1.933838,
   (float)0.913940, (float)1.337280, (float)1.539673,
   (float)0.680542, (float)0.959229, (float)1.662720,
   (float)0.887207, (float)1.430542, (float)1.800781,
   (float)0.912598, (float)1.433594, (float)1.683960,
   (float)0.860474, (float)1.060303, (float)1.455322,
   (float)1.005127, (float)1.381104, (float)1.706909,
   (float)0.800781, (float)1.363892, (float)1.829102,
   (float)0.781860, (float)1.124390, (float)1.505981,
   (float)1.003662, (float)1.471436, (float)1.684692,
   (float)0.981323, (float)1.309570, (float)1.618042,
   (float)1.228760, (float)1.554321, (float)1.756470,
   (float)0.734375, (float)0.895752, (float)1.225586,
   (float)0.841797, (float)1.055664, (float)1.249268,
   (float)0.920166, (float)1.119385, (float)1.486206,
   (float)0.894409, (float)1.539063, (float)1.828979,
   (float)1.283691, (float)1.543335, (float)1.858276,



Andersen, et al.              Experimental                     [Page 91]

RFC 3951              Internet Low Bit Rate Codec          December 2004


   (float)0.676025, (float)0.933105, (float)1.490845,
   (float)0.821289, (float)1.491821, (float)1.739868,
   (float)0.923218, (float)1.144653, (float)1.580566,
   (float)1.057251, (float)1.345581, (float)1.635864,
   (float)0.888672, (float)1.074951, (float)1.353149,
   (float)0.942749, (float)1.195435, (float)1.505493,
   (float)1.492310, (float)1.788086, (float)2.039673,
   (float)1.070313, (float)1.634399, (float)1.860962,
   (float)1.253296, (float)1.488892, (float)1.686035,
   (float)0.647095, (float)0.864014, (float)1.401855,
   (float)0.866699, (float)1.254883, (float)1.453369,
   (float)1.063965, (float)1.532593, (float)1.731323,
   (float)1.167847, (float)1.521484, (float)1.884033,
   (float)0.956055, (float)1.502075, (float)1.745605,
   (float)0.928711, (float)1.288574, (float)1.479614,
   (float)1.088013, (float)1.380737, (float)1.570801,
   (float)0.905029, (float)1.186768, (float)1.371948,
   (float)1.057861, (float)1.421021, (float)1.617432,
   (float)1.108276, (float)1.312500, (float)1.501465,
   (float)0.979492, (float)1.416992, (float)1.624268,
   (float)1.276001, (float)1.661011, (float)2.007935,
   (float)0.993042, (float)1.168579, (float)1.331665,
   (float)0.778198, (float)0.944946, (float)1.235962,
   (float)1.223755, (float)1.491333, (float)1.815674,
   (float)0.852661, (float)1.350464, (float)1.722290,
   (float)1.134766, (float)1.593140, (float)1.787354,
   (float)1.051392, (float)1.339722, (float)1.531006,
   (float)0.803589, (float)1.271240, (float)1.652100,
   (float)0.755737, (float)1.143555, (float)1.639404,
   (float)0.700928, (float)0.837280, (float)1.130371,
   (float)0.942749, (float)1.197876, (float)1.669800,
   (float)0.993286, (float)1.378296, (float)1.566528,
   (float)0.801025, (float)1.095337, (float)1.298950,
   (float)0.739990, (float)1.032959, (float)1.383667,
   (float)0.845703, (float)1.072266, (float)1.543823,
   (float)0.915649, (float)1.072266, (float)1.224487,
   (float)1.021973, (float)1.226196, (float)1.481323,
   (float)0.999878, (float)1.204102, (float)1.555908,
   (float)0.722290, (float)0.913940, (float)1.340210,
   (float)0.673340, (float)0.835938, (float)1.259521,
   (float)0.832397, (float)1.208374, (float)1.394165,
   (float)0.962158, (float)1.576172, (float)1.912842,
   (float)1.166748, (float)1.370850, (float)1.556763,
   (float)0.946289, (float)1.138550, (float)1.400391,
   (float)1.035034, (float)1.218262, (float)1.386475,
   (float)1.393799, (float)1.717773, (float)2.000244,
   (float)0.972656, (float)1.260986, (float)1.760620,
   (float)1.028198, (float)1.288452, (float)1.484619,



Andersen, et al.              Experimental                     [Page 92]

RFC 3951              Internet Low Bit Rate Codec          December 2004


   (float)0.773560, (float)1.258057, (float)1.756714,
   (float)1.080322, (float)1.328003, (float)1.742676,
   (float)0.823975, (float)1.450806, (float)1.917725,
   (float)0.859009, (float)1.016602, (float)1.191895,
   (float)0.843994, (float)1.131104, (float)1.645020,
   (float)1.189697, (float)1.702759, (float)1.894409,
   (float)1.346680, (float)1.763184, (float)2.066040,
   (float)0.980469, (float)1.253784, (float)1.441650,
   (float)1.338135, (float)1.641968, (float)1.932739,
   (float)1.223267, (float)1.424194, (float)1.626465,
   (float)0.765747, (float)1.004150, (float)1.579102,
   (float)1.042847, (float)1.269165, (float)1.647461,
   (float)0.968750, (float)1.257568, (float)1.555786,
   (float)0.826294, (float)0.993408, (float)1.275146,
   (float)0.742310, (float)0.950439, (float)1.430542,
   (float)1.054321, (float)1.439819, (float)1.828003,
   (float)1.072998, (float)1.261719, (float)1.441895,
   (float)0.859375, (float)1.036377, (float)1.314819,
   (float)0.895752, (float)1.267212, (float)1.605591,
   (float)0.805420, (float)0.962891, (float)1.142334,
   (float)0.795654, (float)1.005493, (float)1.468506,
   (float)1.105347, (float)1.313843, (float)1.584839,
   (float)0.792236, (float)1.221802, (float)1.465698,
   (float)1.170532, (float)1.467651, (float)1.664063,
   (float)0.838257, (float)1.153198, (float)1.342163,
   (float)0.968018, (float)1.198242, (float)1.391235,
   (float)1.250122, (float)1.623535, (float)1.823608,
   (float)0.711670, (float)1.058350, (float)1.512085,
   (float)1.204834, (float)1.454468, (float)1.739136,
   (float)1.137451, (float)1.421753, (float)1.620117,
   (float)0.820435, (float)1.322754, (float)1.578247,
   (float)0.798706, (float)1.005005, (float)1.213867,
   (float)0.980713, (float)1.324951, (float)1.512939,
   (float)1.112305, (float)1.438843, (float)1.735596,
   (float)1.135498, (float)1.356689, (float)1.635742,
   (float)1.101318, (float)1.387451, (float)1.686523,
   (float)0.849854, (float)1.276978, (float)1.523438,
   (float)1.377930, (float)1.627563, (float)1.858154,
   (float)0.884888, (float)1.095459, (float)1.287476,
   (float)1.289795, (float)1.505859, (float)1.756592,
   (float)0.817505, (float)1.384155, (float)1.650513,
   (float)1.446655, (float)1.702148, (float)1.931885,
   (float)0.835815, (float)1.023071, (float)1.385376,
   (float)0.916626, (float)1.139038, (float)1.335327,
   (float)0.980103, (float)1.174072, (float)1.453735,
   (float)1.705688, (float)2.153809, (float)2.398315, (float)2.743408,
   (float)1.797119, (float)2.016846, (float)2.445679, (float)2.701904,
   (float)1.990356, (float)2.219116, (float)2.576416, (float)2.813477,



Andersen, et al.              Experimental                     [Page 93]

RFC 3951              Internet Low Bit Rate Codec          December 2004


   (float)1.849365, (float)2.190918, (float)2.611572, (float)2.835083,
   (float)1.657959, (float)1.854370, (float)2.159058, (float)2.726196,
   (float)1.437744, (float)1.897705, (float)2.253174, (float)2.655396,
   (float)2.028687, (float)2.247314, (float)2.542358, (float)2.875854,
   (float)1.736938, (float)1.922119, (float)2.185913, (float)2.743408,
   (float)1.521606, (float)1.870972, (float)2.526855, (float)2.786987,
   (float)1.841431, (float)2.050659, (float)2.463623, (float)2.857666,
   (float)1.590088, (float)2.067261, (float)2.427979, (float)2.794434,
   (float)1.746826, (float)2.057373, (float)2.320190, (float)2.800781,
   (float)1.734619, (float)1.940552, (float)2.306030, (float)2.826416,
   (float)1.786255, (float)2.204468, (float)2.457520, (float)2.795288,
   (float)1.861084, (float)2.170532, (float)2.414551, (float)2.763672,
   (float)2.001465, (float)2.307617, (float)2.552734, (float)2.811890,
   (float)1.784424, (float)2.124146, (float)2.381592, (float)2.645508,
   (float)1.888794, (float)2.135864, (float)2.418579, (float)2.861206,
   (float)2.301147, (float)2.531250, (float)2.724976, (float)2.913086,
   (float)1.837769, (float)2.051270, (float)2.261963, (float)2.553223,
   (float)2.012939, (float)2.221191, (float)2.440186, (float)2.678101,
   (float)1.429565, (float)1.858276, (float)2.582275, (float)2.845703,
   (float)1.622803, (float)1.897705, (float)2.367310, (float)2.621094,
   (float)1.581543, (float)1.960449, (float)2.515869, (float)2.736450,
   (float)1.419434, (float)1.933960, (float)2.394653, (float)2.746704,
   (float)1.721924, (float)2.059570, (float)2.421753, (float)2.769653,
   (float)1.911011, (float)2.220703, (float)2.461060, (float)2.740723,
   (float)1.581177, (float)1.860840, (float)2.516968, (float)2.874634,
   (float)1.870361, (float)2.098755, (float)2.432373, (float)2.656494,
   (float)2.059692, (float)2.279785, (float)2.495605, (float)2.729370,
   (float)1.815674, (float)2.181519, (float)2.451538, (float)2.680542,
   (float)1.407959, (float)1.768311, (float)2.343018, (float)2.668091,
   (float)2.168701, (float)2.394653, (float)2.604736, (float)2.829346,
   (float)1.636230, (float)1.865723, (float)2.329102, (float)2.824219,
   (float)1.878906, (float)2.139526, (float)2.376709, (float)2.679810,
   (float)1.765381, (float)1.971802, (float)2.195435, (float)2.586914,
   (float)2.164795, (float)2.410889, (float)2.673706, (float)2.903198,
   (float)2.071899, (float)2.331055, (float)2.645874, (float)2.907104,
   (float)2.026001, (float)2.311523, (float)2.594849, (float)2.863892,
   (float)1.948975, (float)2.180786, (float)2.514893, (float)2.797852,
   (float)1.881836, (float)2.130859, (float)2.478149, (float)2.804199,
   (float)2.238159, (float)2.452759, (float)2.652832, (float)2.868286,
   (float)1.897949, (float)2.101685, (float)2.524292, (float)2.880127,
   (float)1.856445, (float)2.074585, (float)2.541016, (float)2.791748,
   (float)1.695557, (float)2.199097, (float)2.506226, (float)2.742676,
   (float)1.612671, (float)1.877075, (float)2.435425, (float)2.732910,
   (float)1.568848, (float)1.786499, (float)2.194580, (float)2.768555,
   (float)1.953369, (float)2.164551, (float)2.486938, (float)2.874023,
   (float)1.388306, (float)1.725342, (float)2.384521, (float)2.771851,
   (float)2.115356, (float)2.337769, (float)2.592896, (float)2.864014,
   (float)1.905762, (float)2.111328, (float)2.363525, (float)2.789307,



Andersen, et al.              Experimental                     [Page 94]

RFC 3951              Internet Low Bit Rate Codec          December 2004


   (float)1.882568, (float)2.332031, (float)2.598267, (float)2.827637,
   (float)1.683594, (float)2.088745, (float)2.361938, (float)2.608643,
   (float)1.874023, (float)2.182129, (float)2.536133, (float)2.766968,
   (float)1.861938, (float)2.070435, (float)2.309692, (float)2.700562,
   (float)1.722168, (float)2.107422, (float)2.477295, (float)2.837646,
   (float)1.926880, (float)2.184692, (float)2.442627, (float)2.663818,
   (float)2.123901, (float)2.337280, (float)2.553101, (float)2.777466,
   (float)1.588135, (float)1.911499, (float)2.212769, (float)2.543945,
   (float)2.053955, (float)2.370850, (float)2.712158, (float)2.939941,
   (float)2.210449, (float)2.519653, (float)2.770386, (float)2.958618,
   (float)2.199463, (float)2.474731, (float)2.718262, (float)2.919922,
   (float)1.960083, (float)2.175415, (float)2.608032, (float)2.888794,
   (float)1.953735, (float)2.185181, (float)2.428223, (float)2.809570,
   (float)1.615234, (float)2.036499, (float)2.576538, (float)2.834595,
   (float)1.621094, (float)2.028198, (float)2.431030, (float)2.664673,
   (float)1.824951, (float)2.267456, (float)2.514526, (float)2.747925,
   (float)1.994263, (float)2.229126, (float)2.475220, (float)2.833984,
   (float)1.746338, (float)2.011353, (float)2.588257, (float)2.826904,
   (float)1.562866, (float)2.135986, (float)2.471680, (float)2.687256,
   (float)1.748901, (float)2.083496, (float)2.460938, (float)2.686279,
   (float)1.758057, (float)2.131470, (float)2.636597, (float)2.891602,
   (float)2.071289, (float)2.299072, (float)2.550781, (float)2.814331,
   (float)1.839600, (float)2.094360, (float)2.496460, (float)2.723999,
   (float)1.882202, (float)2.088257, (float)2.636841, (float)2.923096,
   (float)1.957886, (float)2.153198, (float)2.384399, (float)2.615234,
   (float)1.992920, (float)2.351196, (float)2.654419, (float)2.889771,
   (float)2.012817, (float)2.262451, (float)2.643799, (float)2.903076,
   (float)2.025635, (float)2.254761, (float)2.508423, (float)2.784058,
   (float)2.316040, (float)2.589355, (float)2.794189, (float)2.963623,
   (float)1.741211, (float)2.279541, (float)2.578491, (float)2.816284,
   (float)1.845337, (float)2.055786, (float)2.348511, (float)2.822021,
   (float)1.679932, (float)1.926514, (float)2.499756, (float)2.835693,
   (float)1.722534, (float)1.946899, (float)2.448486, (float)2.728760,
   (float)1.829834, (float)2.043213, (float)2.580444, (float)2.867676,
   (float)1.676636, (float)2.071655, (float)2.322510, (float)2.704834,
   (float)1.791504, (float)2.113525, (float)2.469727, (float)2.784058,
   (float)1.977051, (float)2.215088, (float)2.497437, (float)2.726929,
   (float)1.800171, (float)2.106689, (float)2.357788, (float)2.738892,
   (float)1.827759, (float)2.170166, (float)2.525879, (float)2.852417,
   (float)1.918335, (float)2.132813, (float)2.488403, (float)2.728149,
   (float)1.916748, (float)2.225098, (float)2.542603, (float)2.857666,
   (float)1.761230, (float)1.976074, (float)2.507446, (float)2.884521,
   (float)2.053711, (float)2.367432, (float)2.608032, (float)2.837646,
   (float)1.595337, (float)2.000977, (float)2.307129, (float)2.578247,
   (float)1.470581, (float)2.031250, (float)2.375854, (float)2.647583,
   (float)1.801392, (float)2.128052, (float)2.399780, (float)2.822876,
   (float)1.853638, (float)2.066650, (float)2.429199, (float)2.751465,
   (float)1.956299, (float)2.163696, (float)2.394775, (float)2.734253,



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   (float)1.963623, (float)2.275757, (float)2.585327, (float)2.865234,
   (float)1.887451, (float)2.105469, (float)2.331787, (float)2.587402,
   (float)2.120117, (float)2.443359, (float)2.733887, (float)2.941406,
   (float)1.506348, (float)1.766968, (float)2.400513, (float)2.851807,
   (float)1.664551, (float)1.981079, (float)2.375732, (float)2.774414,
   (float)1.720703, (float)1.978882, (float)2.391479, (float)2.640991,
   (float)1.483398, (float)1.814819, (float)2.434448, (float)2.722290,
   (float)1.769043, (float)2.136597, (float)2.563721, (float)2.774414,
   (float)1.810791, (float)2.049316, (float)2.373901, (float)2.613647,
   (float)1.788330, (float)2.005981, (float)2.359131, (float)2.723145,
   (float)1.785156, (float)1.993164, (float)2.399780, (float)2.832520,
   (float)1.695313, (float)2.022949, (float)2.522583, (float)2.745117,
   (float)1.584106, (float)1.965576, (float)2.299927, (float)2.715576,
   (float)1.894897, (float)2.249878, (float)2.655884, (float)2.897705,
   (float)1.720581, (float)1.995728, (float)2.299438, (float)2.557007,
   (float)1.619385, (float)2.173950, (float)2.574219, (float)2.787964,
   (float)1.883179, (float)2.220459, (float)2.474365, (float)2.825073,
   (float)1.447632, (float)2.045044, (float)2.555542, (float)2.744873,
   (float)1.502686, (float)2.156616, (float)2.653320, (float)2.846558,
   (float)1.711548, (float)1.944092, (float)2.282959, (float)2.685791,
   (float)1.499756, (float)1.867554, (float)2.341064, (float)2.578857,
   (float)1.916870, (float)2.135132, (float)2.568237, (float)2.826050,
   (float)1.498047, (float)1.711182, (float)2.223267, (float)2.755127,
   (float)1.808716, (float)1.997559, (float)2.256470, (float)2.758545,
   (float)2.088501, (float)2.402710, (float)2.667358, (float)2.890259,
   (float)1.545044, (float)1.819214, (float)2.324097, (float)2.692993,
   (float)1.796021, (float)2.012573, (float)2.505737, (float)2.784912,
   (float)1.786499, (float)2.041748, (float)2.290405, (float)2.650757,
   (float)1.938232, (float)2.264404, (float)2.529053, (float)2.796143
   };

A.9.  anaFilter.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       anaFilter.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #ifndef __iLBC_ANAFILTER_H
   #define __iLBC_ANAFILTER_H

   void anaFilter(



Andersen, et al.              Experimental                     [Page 96]

RFC 3951              Internet Low Bit Rate Codec          December 2004


       float *In,  /* (i) Signal to be filtered */
       float *a,   /* (i) LP parameters */
       int len,/* (i) Length of signal */
       float *Out, /* (o) Filtered signal */
       float *mem  /* (i/o) Filter state */
   );

   #endif

A.10.  anaFilter.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       anaFilter.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include <string.h>
   #include "iLBC_define.h"

   /*----------------------------------------------------------------*
    *  LP analysis filter.
    *---------------------------------------------------------------*/

   void anaFilter(
       float *In,  /* (i) Signal to be filtered */
       float *a,   /* (i) LP parameters */
       int len,/* (i) Length of signal */
       float *Out, /* (o) Filtered signal */
       float *mem  /* (i/o) Filter state */
   ){
       int i, j;
       float *po, *pi, *pm, *pa;

       po = Out;

       /* Filter first part using memory from past */

       for (i=0; i<LPC_FILTERORDER; i++) {
           pi = &In[i];
           pm = &mem[LPC_FILTERORDER-1];
           pa = a;
           *po=0.0;



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RFC 3951              Internet Low Bit Rate Codec          December 2004


           for (j=0; j<=i; j++) {
               *po+=(*pa++)*(*pi--);
           }
           for (j=i+1; j<LPC_FILTERORDER+1; j++) {

               *po+=(*pa++)*(*pm--);
           }
           po++;
       }

       /* Filter last part where the state is entirely
          in the input vector */

       for (i=LPC_FILTERORDER; i<len; i++) {
           pi = &In[i];
           pa = a;
           *po=0.0;
           for (j=0; j<LPC_FILTERORDER+1; j++) {
               *po+=(*pa++)*(*pi--);
           }
           po++;
       }

       /* Update state vector */

       memcpy(mem, &In[len-LPC_FILTERORDER],
           LPC_FILTERORDER*sizeof(float));
   }

A.11.  createCB.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       createCB.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #ifndef __iLBC_CREATECB_H
   #define __iLBC_CREATECB_H

   void filteredCBvecs(
       float *cbvectors,   /* (o) Codebook vector for the
                                  higher section */



Andersen, et al.              Experimental                     [Page 98]

RFC 3951              Internet Low Bit Rate Codec          December 2004


       float *mem,         /* (i) Buffer to create codebook
                                  vectors from */
       int lMem        /* (i) Length of buffer */
   );

   void searchAugmentedCB(
       int low,        /* (i) Start index for the search */
       int high,           /* (i) End index for the search */
       int stage,          /* (i) Current stage */
       int startIndex,     /* (i) CB index for the first
                                  augmented vector */
       float *target,      /* (i) Target vector for encoding */
       float *buffer,      /* (i) Pointer to the end of the
                                  buffer for augmented codebook
                                  construction */
       float *max_measure, /* (i/o) Currently maximum measure */
       int *best_index,/* (o) Currently the best index */
       float *gain,    /* (o) Currently the best gain */
       float *energy,      /* (o) Energy of augmented
                                  codebook vectors */
       float *invenergy/* (o) Inv energy of aug codebook
                                  vectors */
   );

   void createAugmentedVec(
       int index,          /* (i) Index for the aug vector
                                  to be created */
       float *buffer,      /* (i) Pointer to the end of the
                                  buffer for augmented codebook
                                  construction */
       float *cbVec    /* (o) The constructed codebook vector */
   );

   #endif

A.12.  createCB.c


   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       createCB.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/



Andersen, et al.              Experimental                     [Page 99]

RFC 3951              Internet Low Bit Rate Codec          December 2004


   #include "iLBC_define.h"
   #include "constants.h"
   #include <string.h>
   #include <math.h>

   /*----------------------------------------------------------------*
    *  Construct an additional codebook vector by filtering the
    *  initial codebook buffer. This vector is then used to expand
    *  the codebook with an additional section.
    *---------------------------------------------------------------*/

   void filteredCBvecs(
       float *cbvectors,   /* (o) Codebook vectors for the
                                  higher section */
       float *mem,         /* (i) Buffer to create codebook
                                  vector from */
       int lMem        /* (i) Length of buffer */
   ){
       int j, k;
       float *pp, *pp1;
       float tempbuff2[CB_MEML+CB_FILTERLEN];
       float *pos;

       memset(tempbuff2, 0, (CB_HALFFILTERLEN-1)*sizeof(float));
       memcpy(&tempbuff2[CB_HALFFILTERLEN-1], mem, lMem*sizeof(float));
       memset(&tempbuff2[lMem+CB_HALFFILTERLEN-1], 0,
           (CB_HALFFILTERLEN+1)*sizeof(float));

       /* Create codebook vector for higher section by filtering */

       /* do filtering */
       pos=cbvectors;
       memset(pos, 0, lMem*sizeof(float));
       for (k=0; k<lMem; k++) {
           pp=&tempbuff2[k];
           pp1=&cbfiltersTbl[CB_FILTERLEN-1];
           for (j=0;j<CB_FILTERLEN;j++) {
               (*pos)+=(*pp++)*(*pp1--);
           }
           pos++;
       }
   }

   /*----------------------------------------------------------------*
    *  Search the augmented part of the codebook to find the best
    *  measure.
    *----------------------------------------------------------------*/




Andersen, et al.              Experimental                    [Page 100]

RFC 3951              Internet Low Bit Rate Codec          December 2004


   void searchAugmentedCB(
       int low,        /* (i) Start index for the search */
       int high,           /* (i) End index for the search */
       int stage,          /* (i) Current stage */
       int startIndex,     /* (i) Codebook index for the first
                                  aug vector */
       float *target,      /* (i) Target vector for encoding */
       float *buffer,      /* (i) Pointer to the end of the buffer for
                                  augmented codebook construction */
       float *max_measure, /* (i/o) Currently maximum measure */
       int *best_index,/* (o) Currently the best index */
       float *gain,    /* (o) Currently the best gain */
       float *energy,      /* (o) Energy of augmented codebook
                                  vectors */
       float *invenergy/* (o) Inv energy of augmented codebook
                                  vectors */
   ) {
       int icount, ilow, j, tmpIndex;
       float *pp, *ppo, *ppi, *ppe, crossDot, alfa;
       float weighted, measure, nrjRecursive;
       float ftmp;

       /* Compute the energy for the first (low-5)
          noninterpolated samples */
       nrjRecursive = (float) 0.0;
       pp = buffer - low + 1;
       for (j=0; j<(low-5); j++) {
           nrjRecursive += ( (*pp)*(*pp) );
           pp++;
       }
       ppe = buffer - low;


       for (icount=low; icount<=high; icount++) {

           /* Index of the codebook vector used for retrieving
              energy values */
           tmpIndex = startIndex+icount-20;

           ilow = icount-4;

           /* Update the energy recursively to save complexity */
           nrjRecursive = nrjRecursive + (*ppe)*(*ppe);
           ppe--;
           energy[tmpIndex] = nrjRecursive;

           /* Compute cross dot product for the first (low-5)
              samples */



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           crossDot = (float) 0.0;
           pp = buffer-icount;
           for (j=0; j<ilow; j++) {
               crossDot += target[j]*(*pp++);
           }

           /* interpolation */
           alfa = (float) 0.2;
           ppo = buffer-4;
           ppi = buffer-icount-4;
           for (j=ilow; j<icount; j++) {
               weighted = ((float)1.0-alfa)*(*ppo)+alfa*(*ppi);
               ppo++;
               ppi++;
               energy[tmpIndex] += weighted*weighted;
               crossDot += target[j]*weighted;
               alfa += (float)0.2;
           }

           /* Compute energy and cross dot product for the
              remaining samples */
           pp = buffer - icount;
           for (j=icount; j<SUBL; j++) {
               energy[tmpIndex] += (*pp)*(*pp);
               crossDot += target[j]*(*pp++);
           }

           if (energy[tmpIndex]>0.0) {
               invenergy[tmpIndex]=(float)1.0/(energy[tmpIndex]+EPS);
           } else {
               invenergy[tmpIndex] = (float) 0.0;
           }

           if (stage==0) {
               measure = (float)-10000000.0;

               if (crossDot > 0.0) {
                   measure = crossDot*crossDot*invenergy[tmpIndex];
               }
           }
           else {
               measure = crossDot*crossDot*invenergy[tmpIndex];
           }

           /* check if measure is better */
           ftmp = crossDot*invenergy[tmpIndex];

           if ((measure>*max_measure) && (fabs(ftmp)<CB_MAXGAIN)) {



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               *best_index = tmpIndex;
               *max_measure = measure;
               *gain = ftmp;
           }
       }
   }


   /*----------------------------------------------------------------*
    *  Recreate a specific codebook vector from the augmented part.
    *
    *----------------------------------------------------------------*/

   void createAugmentedVec(
       int index,      /* (i) Index for the augmented vector
                              to be created */
       float *buffer,  /* (i) Pointer to the end of the buffer for
                              augmented codebook construction */
       float *cbVec/* (o) The constructed codebook vector */
   ) {
       int ilow, j;
       float *pp, *ppo, *ppi, alfa, alfa1, weighted;

       ilow = index-5;

       /* copy the first noninterpolated part */

       pp = buffer-index;
       memcpy(cbVec,pp,sizeof(float)*index);

       /* interpolation */

       alfa1 = (float)0.2;
       alfa = 0.0;
       ppo = buffer-5;
       ppi = buffer-index-5;
       for (j=ilow; j<index; j++) {
           weighted = ((float)1.0-alfa)*(*ppo)+alfa*(*ppi);
           ppo++;
           ppi++;
           cbVec[j] = weighted;
           alfa += alfa1;
       }

       /* copy the second noninterpolated part */

       pp = buffer - index;
       memcpy(cbVec+index,pp,sizeof(float)*(SUBL-index));



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   }

A.13.  doCPLC.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       doCPLC.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #ifndef __iLBC_DOLPC_H
   #define __iLBC_DOLPC_H

   void doThePLC(
       float *PLCresidual, /* (o) concealed residual */
       float *PLClpc,      /* (o) concealed LP parameters */
       int PLI,        /* (i) packet loss indicator
                                  0 - no PL, 1 = PL */
       float *decresidual, /* (i) decoded residual */
       float *lpc,         /* (i) decoded LPC (only used for no PL) */
       int inlag,          /* (i) pitch lag */
       iLBC_Dec_Inst_t *iLBCdec_inst
                           /* (i/o) decoder instance */
   );

   #endif

A.14.  doCPLC.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       doCPLC.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include <math.h>
   #include <string.h>
   #include <stdio.h>



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   #include "iLBC_define.h"

   /*----------------------------------------------------------------*
    *  Compute cross correlation and pitch gain for pitch prediction
    *  of last subframe at given lag.
    *---------------------------------------------------------------*/

   void compCorr(
       float *cc,      /* (o) cross correlation coefficient */
       float *gc,      /* (o) gain */
       float *pm,
       float *buffer,  /* (i) signal buffer */
       int lag,    /* (i) pitch lag */
       int bLen,       /* (i) length of buffer */
       int sRange      /* (i) correlation search length */
   ){
       int i;
       float ftmp1, ftmp2, ftmp3;

       /* Guard against getting outside buffer */
       if ((bLen-sRange-lag)<0) {
           sRange=bLen-lag;
       }

       ftmp1 = 0.0;
       ftmp2 = 0.0;
       ftmp3 = 0.0;
       for (i=0; i<sRange; i++) {
           ftmp1 += buffer[bLen-sRange+i] *
               buffer[bLen-sRange+i-lag];
           ftmp2 += buffer[bLen-sRange+i-lag] *
                   buffer[bLen-sRange+i-lag];
           ftmp3 += buffer[bLen-sRange+i] *
                   buffer[bLen-sRange+i];
       }

       if (ftmp2 > 0.0) {
           *cc = ftmp1*ftmp1/ftmp2;
           *gc = (float)fabs(ftmp1/ftmp2);
           *pm=(float)fabs(ftmp1)/
               ((float)sqrt(ftmp2)*(float)sqrt(ftmp3));
       }
       else {
           *cc = 0.0;
           *gc = 0.0;
           *pm=0.0;
       }
   }



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   /*----------------------------------------------------------------*
    *  Packet loss concealment routine. Conceals a residual signal
    *  and LP parameters. If no packet loss, update state.
    *---------------------------------------------------------------*/

   void doThePLC(
       float *PLCresidual, /* (o) concealed residual */
       float *PLClpc,      /* (o) concealed LP parameters */
       int PLI,        /* (i) packet loss indicator
                                  0 - no PL, 1 = PL */
       float *decresidual, /* (i) decoded residual */
       float *lpc,         /* (i) decoded LPC (only used for no PL) */
       int inlag,          /* (i) pitch lag */
       iLBC_Dec_Inst_t *iLBCdec_inst
                           /* (i/o) decoder instance */
   ){
       int lag=20, randlag;
       float gain, maxcc;
       float use_gain;
       float gain_comp, maxcc_comp, per, max_per;
       int i, pick, use_lag;
       float ftmp, randvec[BLOCKL_MAX], pitchfact, energy;

       /* Packet Loss */

       if (PLI == 1) {

           iLBCdec_inst->consPLICount += 1;

           /* if previous frame not lost,
              determine pitch pred. gain */

           if (iLBCdec_inst->prevPLI != 1) {

               /* Search around the previous lag to find the
                  best pitch period */

               lag=inlag-3;
               compCorr(&maxcc, &gain, &max_per,
                   iLBCdec_inst->prevResidual,
                   lag, iLBCdec_inst->blockl, 60);
               for (i=inlag-2;i<=inlag+3;i++) {
                   compCorr(&maxcc_comp, &gain_comp, &per,
                       iLBCdec_inst->prevResidual,
                       i, iLBCdec_inst->blockl, 60);

                   if (maxcc_comp>maxcc) {
                       maxcc=maxcc_comp;



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                       gain=gain_comp;
                       lag=i;
                       max_per=per;
                   }
               }

           }

           /* previous frame lost, use recorded lag and periodicity */

           else {
               lag=iLBCdec_inst->prevLag;
               max_per=iLBCdec_inst->per;
           }

           /* downscaling */

           use_gain=1.0;
           if (iLBCdec_inst->consPLICount*iLBCdec_inst->blockl>320)
               use_gain=(float)0.9;
           else if (iLBCdec_inst->consPLICount*
                           iLBCdec_inst->blockl>2*320)
               use_gain=(float)0.7;
           else if (iLBCdec_inst->consPLICount*
                           iLBCdec_inst->blockl>3*320)
               use_gain=(float)0.5;
           else if (iLBCdec_inst->consPLICount*
                           iLBCdec_inst->blockl>4*320)
               use_gain=(float)0.0;

           /* mix noise and pitch repeatition */
           ftmp=(float)sqrt(max_per);
           if (ftmp>(float)0.7)
               pitchfact=(float)1.0;
           else if (ftmp>(float)0.4)
               pitchfact=(ftmp-(float)0.4)/((float)0.7-(float)0.4);
           else
               pitchfact=0.0;


           /* avoid repetition of same pitch cycle */
           use_lag=lag;
           if (lag<80) {
               use_lag=2*lag;
           }

           /* compute concealed residual */




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           energy = 0.0;
           for (i=0; i<iLBCdec_inst->blockl; i++) {

               /* noise component */

               iLBCdec_inst->seed=(iLBCdec_inst->seed*69069L+1) &
                   (0x80000000L-1);
               randlag = 50 + ((signed long) iLBCdec_inst->seed)%70;
               pick = i - randlag;

               if (pick < 0) {
                   randvec[i] =
                       iLBCdec_inst->prevResidual[
                                   iLBCdec_inst->blockl+pick];
               } else {
                   randvec[i] =  randvec[pick];
               }

               /* pitch repeatition component */
               pick = i - use_lag;

               if (pick < 0) {
                   PLCresidual[i] =
                       iLBCdec_inst->prevResidual[
                                   iLBCdec_inst->blockl+pick];
               } else {
                   PLCresidual[i] = PLCresidual[pick];
               }

               /* mix random and periodicity component */

               if (i<80)
                   PLCresidual[i] = use_gain*(pitchfact *
                               PLCresidual[i] +
                               ((float)1.0 - pitchfact) * randvec[i]);
               else if (i<160)
                   PLCresidual[i] = (float)0.95*use_gain*(pitchfact *
                               PLCresidual[i] +
                               ((float)1.0 - pitchfact) * randvec[i]);
               else
                   PLCresidual[i] = (float)0.9*use_gain*(pitchfact *
                               PLCresidual[i] +
                               ((float)1.0 - pitchfact) * randvec[i]);

               energy += PLCresidual[i] * PLCresidual[i];
           }

           /* less than 30 dB, use only noise */



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           if (sqrt(energy/(float)iLBCdec_inst->blockl) < 30.0) {
               gain=0.0;
               for (i=0; i<iLBCdec_inst->blockl; i++) {
                   PLCresidual[i] = randvec[i];
               }
           }

           /* use old LPC */

           memcpy(PLClpc,iLBCdec_inst->prevLpc,
               (LPC_FILTERORDER+1)*sizeof(float));

       }

       /* no packet loss, copy input */

       else {
           memcpy(PLCresidual, decresidual,
               iLBCdec_inst->blockl*sizeof(float));
           memcpy(PLClpc, lpc, (LPC_FILTERORDER+1)*sizeof(float));
           iLBCdec_inst->consPLICount = 0;
       }

       /* update state */

       if (PLI) {
           iLBCdec_inst->prevLag = lag;
           iLBCdec_inst->per=max_per;
       }

       iLBCdec_inst->prevPLI = PLI;
       memcpy(iLBCdec_inst->prevLpc, PLClpc,
           (LPC_FILTERORDER+1)*sizeof(float));
       memcpy(iLBCdec_inst->prevResidual, PLCresidual,
           iLBCdec_inst->blockl*sizeof(float));
   }

A.15.  enhancer.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       enhancer.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.



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   ******************************************************************/

   #ifndef __ENHANCER_H
   #define __ENHANCER_H

   #include "iLBC_define.h"

   float xCorrCoef(
       float *target,      /* (i) first array */
       float *regressor,   /* (i) second array */
       int subl        /* (i) dimension arrays */
   );

   int enhancerInterface(
       float *out,         /* (o) the enhanced residual signal */
       float *in,          /* (i) the residual signal to enhance */
       iLBC_Dec_Inst_t *iLBCdec_inst
                           /* (i/o) the decoder state structure */
   );

   #endif

A.16.  enhancer.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       enhancer.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include <math.h>
   #include <string.h>
   #include "iLBC_define.h"
   #include "constants.h"
   #include "filter.h"

   /*----------------------------------------------------------------*
    * Find index in array such that the array element with said
    * index is the element of said array closest to "value"
    * according to the squared-error criterion
    *---------------------------------------------------------------*/

   void NearestNeighbor(



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       int   *index,   /* (o) index of array element closest
                              to value */
       float *array,   /* (i) data array */
       float value,/* (i) value */
       int arlength/* (i) dimension of data array */
   ){
       int i;
       float bestcrit,crit;

       crit=array[0]-value;
       bestcrit=crit*crit;
       *index=0;
       for (i=1; i<arlength; i++) {
           crit=array[i]-value;
           crit=crit*crit;

           if (crit<bestcrit) {
               bestcrit=crit;
               *index=i;
           }
       }
   }

   /*----------------------------------------------------------------*
    * compute cross correlation between sequences
    *---------------------------------------------------------------*/

   void mycorr1(
       float* corr,    /* (o) correlation of seq1 and seq2 */
       float* seq1,    /* (i) first sequence */
       int dim1,           /* (i) dimension first seq1 */
       const float *seq2,  /* (i) second sequence */
       int dim2        /* (i) dimension seq2 */
   ){
       int i,j;

       for (i=0; i<=dim1-dim2; i++) {
           corr[i]=0.0;
           for (j=0; j<dim2; j++) {
               corr[i] += seq1[i+j] * seq2[j];
           }
       }
   }

   /*----------------------------------------------------------------*
    * upsample finite array assuming zeros outside bounds
    *---------------------------------------------------------------*/




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   void enh_upsample(
       float* useq1,   /* (o) upsampled output sequence */
       float* seq1,/* (i) unupsampled sequence */
       int dim1,       /* (i) dimension seq1 */
       int hfl         /* (i) polyphase filter length=2*hfl+1 */
   ){
       float *pu,*ps;
       int i,j,k,q,filterlength,hfl2;
       const float *polyp[ENH_UPS0]; /* pointers to
                                        polyphase columns */
       const float *pp;

       /* define pointers for filter */

       filterlength=2*hfl+1;

       if ( filterlength > dim1 ) {
           hfl2=(int) (dim1/2);
           for (j=0; j<ENH_UPS0; j++) {
               polyp[j]=polyphaserTbl+j*filterlength+hfl-hfl2;
           }
           hfl=hfl2;
           filterlength=2*hfl+1;
       }
       else {
           for (j=0; j<ENH_UPS0; j++) {
               polyp[j]=polyphaserTbl+j*filterlength;
           }
       }

       /* filtering: filter overhangs left side of sequence */

       pu=useq1;
       for (i=hfl; i<filterlength; i++) {
           for (j=0; j<ENH_UPS0; j++) {
               *pu=0.0;
               pp = polyp[j];
               ps = seq1+i;
               for (k=0; k<=i; k++) {
                   *pu += *ps-- * *pp++;
               }
               pu++;
           }
       }

       /* filtering: simple convolution=inner products */

       for (i=filterlength; i<dim1; i++) {



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           for (j=0;j<ENH_UPS0; j++){
               *pu=0.0;
               pp = polyp[j];
               ps = seq1+i;
               for (k=0; k<filterlength; k++) {
                   *pu += *ps-- * *pp++;
               }
               pu++;
           }
       }

       /* filtering: filter overhangs right side of sequence */

       for (q=1; q<=hfl; q++) {
           for (j=0; j<ENH_UPS0; j++) {
               *pu=0.0;
               pp = polyp[j]+q;
               ps = seq1+dim1-1;
               for (k=0; k<filterlength-q; k++) {
                   *pu += *ps-- * *pp++;
               }
               pu++;
           }
       }
   }


   /*----------------------------------------------------------------*
    * find segment starting near idata+estSegPos that has highest
    * correlation with idata+centerStartPos through
    * idata+centerStartPos+ENH_BLOCKL-1 segment is found at a
    * resolution of ENH_UPSO times the original of the original
    * sampling rate
    *---------------------------------------------------------------*/

   void refiner(
       float *seg,         /* (o) segment array */
       float *updStartPos, /* (o) updated start point */
       float* idata,       /* (i) original data buffer */
       int idatal,         /* (i) dimension of idata */
       int centerStartPos, /* (i) beginning center segment */
       float estSegPos,/* (i) estimated beginning other segment */
       float period    /* (i) estimated pitch period */
   ){
       int estSegPosRounded,searchSegStartPos,searchSegEndPos,corrdim;
       int tloc,tloc2,i,st,en,fraction;
       float vect[ENH_VECTL],corrVec[ENH_CORRDIM],maxv;
       float corrVecUps[ENH_CORRDIM*ENH_UPS0];



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       /* defining array bounds */

       estSegPosRounded=(int)(estSegPos - 0.5);

       searchSegStartPos=estSegPosRounded-ENH_SLOP;

       if (searchSegStartPos<0) {
           searchSegStartPos=0;
       }
       searchSegEndPos=estSegPosRounded+ENH_SLOP;

       if (searchSegEndPos+ENH_BLOCKL >= idatal) {
           searchSegEndPos=idatal-ENH_BLOCKL-1;
       }
       corrdim=searchSegEndPos-searchSegStartPos+1;

       /* compute upsampled correlation (corr33) and find
          location of max */

       mycorr1(corrVec,idata+searchSegStartPos,
           corrdim+ENH_BLOCKL-1,idata+centerStartPos,ENH_BLOCKL);
       enh_upsample(corrVecUps,corrVec,corrdim,ENH_FL0);
       tloc=0; maxv=corrVecUps[0];
       for (i=1; i<ENH_UPS0*corrdim; i++) {

           if (corrVecUps[i]>maxv) {
               tloc=i;
               maxv=corrVecUps[i];
           }
       }

       /* make vector can be upsampled without ever running outside
          bounds */

       *updStartPos= (float)searchSegStartPos +
           (float)tloc/(float)ENH_UPS0+(float)1.0;
       tloc2=(int)(tloc/ENH_UPS0);

       if (tloc>tloc2*ENH_UPS0) {
           tloc2++;
       }
       st=searchSegStartPos+tloc2-ENH_FL0;

       if (st<0) {
           memset(vect,0,-st*sizeof(float));
           memcpy(&vect[-st],idata, (ENH_VECTL+st)*sizeof(float));
       }
       else {



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           en=st+ENH_VECTL;

           if (en>idatal) {
               memcpy(vect, &idata[st],
                   (ENH_VECTL-(en-idatal))*sizeof(float));
               memset(&vect[ENH_VECTL-(en-idatal)], 0,
                   (en-idatal)*sizeof(float));
           }
           else {
               memcpy(vect, &idata[st], ENH_VECTL*sizeof(float));
           }
       }
       fraction=tloc2*ENH_UPS0-tloc;

       /* compute the segment (this is actually a convolution) */

       mycorr1(seg,vect,ENH_VECTL,polyphaserTbl+(2*ENH_FL0+1)*fraction,
           2*ENH_FL0+1);
   }

   /*----------------------------------------------------------------*
    * find the smoothed output data
    *---------------------------------------------------------------*/

   void smath(
       float *odata,   /* (o) smoothed output */
       float *sseq,/* (i) said second sequence of waveforms */
       int hl,         /* (i) 2*hl+1 is sseq dimension */
       float alpha0/* (i) max smoothing energy fraction */
   ){
       int i,k;
       float w00,w10,w11,A,B,C,*psseq,err,errs;
       float surround[BLOCKL_MAX]; /* shape contributed by other than
                                      current */
       float wt[2*ENH_HL+1];       /* waveform weighting to get
                                      surround shape */
       float denom;

       /* create shape of contribution from all waveforms except the
          current one */

       for (i=1; i<=2*hl+1; i++) {
           wt[i-1] = (float)0.5*(1 - (float)cos(2*PI*i/(2*hl+2)));
       }
       wt[hl]=0.0; /* for clarity, not used */
       for (i=0; i<ENH_BLOCKL; i++) {
           surround[i]=sseq[i]*wt[0];
       }



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       for (k=1; k<hl; k++) {
           psseq=sseq+k*ENH_BLOCKL;
           for(i=0;i<ENH_BLOCKL; i++) {
               surround[i]+=psseq[i]*wt[k];
           }
       }
       for (k=hl+1; k<=2*hl; k++) {
           psseq=sseq+k*ENH_BLOCKL;
           for(i=0;i<ENH_BLOCKL; i++) {
               surround[i]+=psseq[i]*wt[k];
           }
       }

       /* compute some inner products */

       w00 = w10 = w11 = 0.0;
       psseq=sseq+hl*ENH_BLOCKL; /* current block  */
       for (i=0; i<ENH_BLOCKL;i++) {
           w00+=psseq[i]*psseq[i];
           w11+=surround[i]*surround[i];
           w10+=surround[i]*psseq[i];
       }

       if (fabs(w11) < 1.0) {
           w11=1.0;
       }
       C = (float)sqrt( w00/w11);

       /* first try enhancement without power-constraint */

       errs=0.0;
       psseq=sseq+hl*ENH_BLOCKL;
       for (i=0; i<ENH_BLOCKL; i++) {
           odata[i]=C*surround[i];
           err=psseq[i]-odata[i];
           errs+=err*err;
       }

       /* if constraint violated by first try, add constraint */

       if (errs > alpha0 * w00) {
           if ( w00 < 1) {
               w00=1;
           }
           denom = (w11*w00-w10*w10)/(w00*w00);

           if (denom > 0.0001) { /* eliminates numerical problems
                                    for if smooth */



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               A = (float)sqrt( (alpha0- alpha0*alpha0/4)/denom);
               B = -alpha0/2 - A * w10/w00;
               B = B+1;
           }
           else { /* essentially no difference between cycles;
                     smoothing not needed */
               A= 0.0;
               B= 1.0;
           }

           /* create smoothed sequence */

           psseq=sseq+hl*ENH_BLOCKL;
           for (i=0; i<ENH_BLOCKL; i++) {
               odata[i]=A*surround[i]+B*psseq[i];
           }
       }
   }

   /*----------------------------------------------------------------*
    * get the pitch-synchronous sample sequence
    *---------------------------------------------------------------*/

   void getsseq(
       float *sseq,    /* (o) the pitch-synchronous sequence */
       float *idata,       /* (i) original data */
       int idatal,         /* (i) dimension of data */
       int centerStartPos, /* (i) where current block starts */
       float *period,      /* (i) rough-pitch-period array */
       float *plocs,       /* (i) where periods of period array
                                  are taken */
       int periodl,    /* (i) dimension period array */
       int hl              /* (i) 2*hl+1 is the number of sequences */
   ){
       int i,centerEndPos,q;
       float blockStartPos[2*ENH_HL+1];
       int lagBlock[2*ENH_HL+1];
       float plocs2[ENH_PLOCSL];
       float *psseq;

       centerEndPos=centerStartPos+ENH_BLOCKL-1;

       /* present */

       NearestNeighbor(lagBlock+hl,plocs,
           (float)0.5*(centerStartPos+centerEndPos),periodl);

       blockStartPos[hl]=(float)centerStartPos;



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       psseq=sseq+ENH_BLOCKL*hl;
       memcpy(psseq, idata+centerStartPos, ENH_BLOCKL*sizeof(float));

       /* past */

       for (q=hl-1; q>=0; q--) {
           blockStartPos[q]=blockStartPos[q+1]-period[lagBlock[q+1]];
           NearestNeighbor(lagBlock+q,plocs,
               blockStartPos[q]+
               ENH_BLOCKL_HALF-period[lagBlock[q+1]], periodl);


           if (blockStartPos[q]-ENH_OVERHANG>=0) {
               refiner(sseq+q*ENH_BLOCKL, blockStartPos+q, idata,
                   idatal, centerStartPos, blockStartPos[q],
                   period[lagBlock[q+1]]);
           } else {
               psseq=sseq+q*ENH_BLOCKL;
               memset(psseq, 0, ENH_BLOCKL*sizeof(float));
           }
       }

       /* future */

       for (i=0; i<periodl; i++) {
           plocs2[i]=plocs[i]-period[i];
       }
       for (q=hl+1; q<=2*hl; q++) {
           NearestNeighbor(lagBlock+q,plocs2,
               blockStartPos[q-1]+ENH_BLOCKL_HALF,periodl);

           blockStartPos[q]=blockStartPos[q-1]+period[lagBlock[q]];
           if (blockStartPos[q]+ENH_BLOCKL+ENH_OVERHANG<idatal) {
               refiner(sseq+ENH_BLOCKL*q, blockStartPos+q, idata,
                   idatal, centerStartPos, blockStartPos[q],
                   period[lagBlock[q]]);
           }
           else {
               psseq=sseq+q*ENH_BLOCKL;
               memset(psseq, 0, ENH_BLOCKL*sizeof(float));
           }
       }
   }

   /*----------------------------------------------------------------*
    * perform enhancement on idata+centerStartPos through
    * idata+centerStartPos+ENH_BLOCKL-1
    *---------------------------------------------------------------*/



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   void enhancer(
       float *odata,       /* (o) smoothed block, dimension blockl */
       float *idata,       /* (i) data buffer used for enhancing */
       int idatal,         /* (i) dimension idata */
       int centerStartPos, /* (i) first sample current block
                                  within idata */
       float alpha0,       /* (i) max correction-energy-fraction
                                 (in [0,1]) */
       float *period,      /* (i) pitch period array */
       float *plocs,       /* (i) locations where period array
                                  values valid */
       int periodl         /* (i) dimension of period and plocs */
   ){
       float sseq[(2*ENH_HL+1)*ENH_BLOCKL];

       /* get said second sequence of segments */

       getsseq(sseq,idata,idatal,centerStartPos,period,
           plocs,periodl,ENH_HL);

       /* compute the smoothed output from said second sequence */

       smath(odata,sseq,ENH_HL,alpha0);

   }

   /*----------------------------------------------------------------*
    * cross correlation
    *---------------------------------------------------------------*/

   float xCorrCoef(
       float *target,      /* (i) first array */
       float *regressor,   /* (i) second array */
       int subl        /* (i) dimension arrays */
   ){
       int i;
       float ftmp1, ftmp2;

       ftmp1 = 0.0;
       ftmp2 = 0.0;
       for (i=0; i<subl; i++) {
           ftmp1 += target[i]*regressor[i];
           ftmp2 += regressor[i]*regressor[i];
       }

       if (ftmp1 > 0.0) {
           return (float)(ftmp1*ftmp1/ftmp2);
       }



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       else {
           return (float)0.0;
       }
   }

   /*----------------------------------------------------------------*
    * interface for enhancer
    *---------------------------------------------------------------*/

   int enhancerInterface(
       float *out,                     /* (o) enhanced signal */
       float *in,                      /* (i) unenhanced signal */
       iLBC_Dec_Inst_t *iLBCdec_inst   /* (i) buffers etc */
   ){
       float *enh_buf, *enh_period;
       int iblock, isample;
       int lag=0, ilag, i, ioffset;
       float cc, maxcc;
       float ftmp1, ftmp2;
       float *inPtr, *enh_bufPtr1, *enh_bufPtr2;
       float plc_pred[ENH_BLOCKL];

       float lpState[6], downsampled[(ENH_NBLOCKS*ENH_BLOCKL+120)/2];
       int inLen=ENH_NBLOCKS*ENH_BLOCKL+120;
       int start, plc_blockl, inlag;

       enh_buf=iLBCdec_inst->enh_buf;
       enh_period=iLBCdec_inst->enh_period;

       memmove(enh_buf, &enh_buf[iLBCdec_inst->blockl],
           (ENH_BUFL-iLBCdec_inst->blockl)*sizeof(float));

       memcpy(&enh_buf[ENH_BUFL-iLBCdec_inst->blockl], in,
           iLBCdec_inst->blockl*sizeof(float));

       if (iLBCdec_inst->mode==30)
           plc_blockl=ENH_BLOCKL;
       else
           plc_blockl=40;

       /* when 20 ms frame, move processing one block */
       ioffset=0;
       if (iLBCdec_inst->mode==20) ioffset=1;

       i=3-ioffset;
       memmove(enh_period, &enh_period[i],
           (ENH_NBLOCKS_TOT-i)*sizeof(float));




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       /* Set state information to the 6 samples right before
          the samples to be downsampled. */

       memcpy(lpState,
           enh_buf+(ENH_NBLOCKS_EXTRA+ioffset)*ENH_BLOCKL-126,
           6*sizeof(float));

       /* Down sample a factor 2 to save computations */

       DownSample(enh_buf+(ENH_NBLOCKS_EXTRA+ioffset)*ENH_BLOCKL-120,
                   lpFilt_coefsTbl, inLen-ioffset*ENH_BLOCKL,
                   lpState, downsampled);

       /* Estimate the pitch in the down sampled domain. */
       for (iblock = 0; iblock<ENH_NBLOCKS-ioffset; iblock++) {

           lag = 10;
           maxcc = xCorrCoef(downsampled+60+iblock*
               ENH_BLOCKL_HALF, downsampled+60+iblock*
               ENH_BLOCKL_HALF-lag, ENH_BLOCKL_HALF);
           for (ilag=11; ilag<60; ilag++) {
               cc = xCorrCoef(downsampled+60+iblock*
                   ENH_BLOCKL_HALF, downsampled+60+iblock*
                   ENH_BLOCKL_HALF-ilag, ENH_BLOCKL_HALF);

               if (cc > maxcc) {
                   maxcc = cc;
                   lag = ilag;
               }
           }

           /* Store the estimated lag in the non-downsampled domain */
           enh_period[iblock+ENH_NBLOCKS_EXTRA+ioffset] = (float)lag*2;


       }


       /* PLC was performed on the previous packet */
       if (iLBCdec_inst->prev_enh_pl==1) {

           inlag=(int)enh_period[ENH_NBLOCKS_EXTRA+ioffset];

           lag = inlag-1;
           maxcc = xCorrCoef(in, in+lag, plc_blockl);
           for (ilag=inlag; ilag<=inlag+1; ilag++) {
               cc = xCorrCoef(in, in+ilag, plc_blockl);




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               if (cc > maxcc) {
                   maxcc = cc;
                   lag = ilag;
               }
           }

           enh_period[ENH_NBLOCKS_EXTRA+ioffset-1]=(float)lag;

           /* compute new concealed residual for the old lookahead,
              mix the forward PLC with a backward PLC from
              the new frame */

           inPtr=&in[lag-1];

           enh_bufPtr1=&plc_pred[plc_blockl-1];

           if (lag>plc_blockl) {
               start=plc_blockl;
           } else {
               start=lag;
           }

           for (isample = start; isample>0; isample--) {
               *enh_bufPtr1-- = *inPtr--;
           }

           enh_bufPtr2=&enh_buf[ENH_BUFL-1-iLBCdec_inst->blockl];
           for (isample = (plc_blockl-1-lag); isample>=0; isample--) {
               *enh_bufPtr1-- = *enh_bufPtr2--;
           }

           /* limit energy change */
           ftmp2=0.0;
           ftmp1=0.0;
           for (i=0;i<plc_blockl;i++) {
               ftmp2+=enh_buf[ENH_BUFL-1-iLBCdec_inst->blockl-i]*
                   enh_buf[ENH_BUFL-1-iLBCdec_inst->blockl-i];
               ftmp1+=plc_pred[i]*plc_pred[i];
           }
           ftmp1=(float)sqrt(ftmp1/(float)plc_blockl);
           ftmp2=(float)sqrt(ftmp2/(float)plc_blockl);
           if (ftmp1>(float)2.0*ftmp2 && ftmp1>0.0) {
               for (i=0;i<plc_blockl-10;i++) {
                   plc_pred[i]*=(float)2.0*ftmp2/ftmp1;
               }
               for (i=plc_blockl-10;i<plc_blockl;i++) {
                   plc_pred[i]*=(float)(i-plc_blockl+10)*
                       ((float)1.0-(float)2.0*ftmp2/ftmp1)/(float)(10)+



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                       (float)2.0*ftmp2/ftmp1;
               }
           }

           enh_bufPtr1=&enh_buf[ENH_BUFL-1-iLBCdec_inst->blockl];
           for (i=0; i<plc_blockl; i++) {
               ftmp1 = (float) (i+1) / (float) (plc_blockl+1);
               *enh_bufPtr1 *= ftmp1;
               *enh_bufPtr1 += ((float)1.0-ftmp1)*
                                   plc_pred[plc_blockl-1-i];
               enh_bufPtr1--;
           }
       }

       if (iLBCdec_inst->mode==20) {
           /* Enhancer with 40 samples delay */
           for (iblock = 0; iblock<2; iblock++) {
               enhancer(out+iblock*ENH_BLOCKL, enh_buf,
                   ENH_BUFL, (5+iblock)*ENH_BLOCKL+40,
                   ENH_ALPHA0, enh_period, enh_plocsTbl,
                       ENH_NBLOCKS_TOT);
           }
       } else if (iLBCdec_inst->mode==30) {
           /* Enhancer with 80 samples delay */
           for (iblock = 0; iblock<3; iblock++) {
               enhancer(out+iblock*ENH_BLOCKL, enh_buf,
                   ENH_BUFL, (4+iblock)*ENH_BLOCKL,
                   ENH_ALPHA0, enh_period, enh_plocsTbl,
                       ENH_NBLOCKS_TOT);
           }
       }

       return (lag*2);
   }

A.17.  filter.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       filter.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/




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   #ifndef __iLBC_FILTER_H
   #define __iLBC_FILTER_H

   void AllPoleFilter(
       float *InOut,   /* (i/o) on entrance InOut[-orderCoef] to
                              InOut[-1] contain the state of the
                              filter (delayed samples). InOut[0] to
                              InOut[lengthInOut-1] contain the filter
                              input, on en exit InOut[-orderCoef] to
                              InOut[-1] is unchanged and InOut[0] to
                              InOut[lengthInOut-1] contain filtered
                              samples */
       float *Coef,/* (i) filter coefficients, Coef[0] is assumed
                              to be 1.0 */
       int lengthInOut,/* (i) number of input/output samples */
       int orderCoef   /* (i) number of filter coefficients */
   );

   void AllZeroFilter(
       float *In,      /* (i) In[0] to In[lengthInOut-1] contain
                              filter input samples */
       float *Coef,/* (i) filter coefficients (Coef[0] is assumed
                              to be 1.0) */
       int lengthInOut,/* (i) number of input/output samples */
       int orderCoef,  /* (i) number of filter coefficients */
       float *Out      /* (i/o) on entrance Out[-orderCoef] to Out[-1]
                              contain the filter state, on exit Out[0]
                              to Out[lengthInOut-1] contain filtered
                              samples */
   );

   void ZeroPoleFilter(
       float *In,      /* (i) In[0] to In[lengthInOut-1] contain filter
                              input samples In[-orderCoef] to In[-1]
                              contain state of all-zero section */
       float *ZeroCoef,/* (i) filter coefficients for all-zero
                              section (ZeroCoef[0] is assumed to
                              be 1.0) */
       float *PoleCoef,/* (i) filter coefficients for all-pole section
                              (ZeroCoef[0] is assumed to be 1.0) */
       int lengthInOut,/* (i) number of input/output samples */
       int orderCoef,  /* (i) number of filter coefficients */
       float *Out      /* (i/o) on entrance Out[-orderCoef] to Out[-1]
                              contain state of all-pole section. On
                              exit Out[0] to Out[lengthInOut-1]
                              contain filtered samples */
   );




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   void DownSample (
       float  *In,     /* (i) input samples */
       float  *Coef,   /* (i) filter coefficients */
       int lengthIn,   /* (i) number of input samples */
       float  *state,  /* (i) filter state */
       float  *Out     /* (o) downsampled output */
   );

   #endif

A.18.  filter.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       filter.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include "iLBC_define.h"

   /*----------------------------------------------------------------*
    *  all-pole filter
    *---------------------------------------------------------------*/

   void AllPoleFilter(
       float *InOut,   /* (i/o) on entrance InOut[-orderCoef] to
                              InOut[-1] contain the state of the
                              filter (delayed samples). InOut[0] to
                              InOut[lengthInOut-1] contain the filter
                              input, on en exit InOut[-orderCoef] to
                              InOut[-1] is unchanged and InOut[0] to
                              InOut[lengthInOut-1] contain filtered
                              samples */
       float *Coef,/* (i) filter coefficients, Coef[0] is assumed
                              to be 1.0 */
       int lengthInOut,/* (i) number of input/output samples */
       int orderCoef   /* (i) number of filter coefficients */
   ){
       int n,k;

       for(n=0;n<lengthInOut;n++){
           for(k=1;k<=orderCoef;k++){
               *InOut -= Coef[k]*InOut[-k];



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           }
           InOut++;
       }
   }

   /*----------------------------------------------------------------*
    *  all-zero filter
    *---------------------------------------------------------------*/

   void AllZeroFilter(
       float *In,      /* (i) In[0] to In[lengthInOut-1] contain
                              filter input samples */
       float *Coef,/* (i) filter coefficients (Coef[0] is assumed
                              to be 1.0) */
       int lengthInOut,/* (i) number of input/output samples */
       int orderCoef,  /* (i) number of filter coefficients */
       float *Out      /* (i/o) on entrance Out[-orderCoef] to Out[-1]
                              contain the filter state, on exit Out[0]
                              to Out[lengthInOut-1] contain filtered
                              samples */
   ){
       int n,k;

       for(n=0;n<lengthInOut;n++){
           *Out = Coef[0]*In[0];
           for(k=1;k<=orderCoef;k++){
               *Out += Coef[k]*In[-k];
           }
           Out++;
           In++;
       }
   }

   /*----------------------------------------------------------------*
    *  pole-zero filter
    *---------------------------------------------------------------*/

   void ZeroPoleFilter(
       float *In,      /* (i) In[0] to In[lengthInOut-1] contain
                              filter input samples In[-orderCoef] to
                              In[-1] contain state of all-zero
                              section */
       float *ZeroCoef,/* (i) filter coefficients for all-zero
                              section (ZeroCoef[0] is assumed to
                              be 1.0) */
       float *PoleCoef,/* (i) filter coefficients for all-pole section
                              (ZeroCoef[0] is assumed to be 1.0) */
       int lengthInOut,/* (i) number of input/output samples */



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       int orderCoef,  /* (i) number of filter coefficients */
       float *Out      /* (i/o) on entrance Out[-orderCoef] to Out[-1]
                              contain state of all-pole section. On
                              exit Out[0] to Out[lengthInOut-1]
                              contain filtered samples */
   ){
       AllZeroFilter(In,ZeroCoef,lengthInOut,orderCoef,Out);
       AllPoleFilter(Out,PoleCoef,lengthInOut,orderCoef);
   }

   /*----------------------------------------------------------------*
    * downsample (LP filter and decimation)
    *---------------------------------------------------------------*/

   void DownSample (
       float  *In,     /* (i) input samples */
       float  *Coef,   /* (i) filter coefficients */
       int lengthIn,   /* (i) number of input samples */
       float  *state,  /* (i) filter state */
       float  *Out     /* (o) downsampled output */
   ){
       float   o;
       float *Out_ptr = Out;
       float *Coef_ptr, *In_ptr;
       float *state_ptr;
       int i, j, stop;

       /* LP filter and decimate at the same time */

       for (i = DELAY_DS; i < lengthIn; i+=FACTOR_DS)
       {
           Coef_ptr = &Coef[0];
           In_ptr = &In[i];
           state_ptr = &state[FILTERORDER_DS-2];

           o = (float)0.0;

           stop = (i < FILTERORDER_DS) ? i + 1 : FILTERORDER_DS;

           for (j = 0; j < stop; j++)
           {
               o += *Coef_ptr++ * (*In_ptr--);
           }
           for (j = i + 1; j < FILTERORDER_DS; j++)
           {
               o += *Coef_ptr++ * (*state_ptr--);
           }




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           *Out_ptr++ = o;
       }

       /* Get the last part (use zeros as input for the future) */

       for (i=(lengthIn+FACTOR_DS); i<(lengthIn+DELAY_DS);
               i+=FACTOR_DS) {

           o=(float)0.0;

           if (i<lengthIn) {
               Coef_ptr = &Coef[0];
               In_ptr = &In[i];
               for (j=0; j<FILTERORDER_DS; j++) {
                       o += *Coef_ptr++ * (*Out_ptr--);
               }
           } else {
               Coef_ptr = &Coef[i-lengthIn];
               In_ptr = &In[lengthIn-1];
               for (j=0; j<FILTERORDER_DS-(i-lengthIn); j++) {
                       o += *Coef_ptr++ * (*In_ptr--);
               }
           }
           *Out_ptr++ = o;
       }
   }

A.19.  FrameClassify.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       FrameClassify.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #ifndef __iLBC_FRAMECLASSIFY_H
   #define __iLBC_FRAMECLASSIFY_H

   int FrameClassify(      /* index to the max-energy sub-frame */
       iLBC_Enc_Inst_t *iLBCenc_inst,
                           /* (i/o) the encoder state structure */
       float *residual     /* (i) lpc residual signal */
   );



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   #endif

A.20.  FrameClassify.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       FrameClassify.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include "iLBC_define.h"

   /*---------------------------------------------------------------*
    *  Classification of subframes to localize start state
    *--------------------------------------------------------------*/

   int FrameClassify(      /* index to the max-energy sub-frame */
       iLBC_Enc_Inst_t *iLBCenc_inst,
                           /* (i/o) the encoder state structure */
       float *residual     /* (i) lpc residual signal */
   ) {
       float max_ssqEn, fssqEn[NSUB_MAX], bssqEn[NSUB_MAX], *pp;
       int n, l, max_ssqEn_n;
       const float ssqEn_win[NSUB_MAX-1]={(float)0.8,(float)0.9,
           (float)1.0,(float)0.9,(float)0.8};
       const float sampEn_win[5]={(float)1.0/(float)6.0,
           (float)2.0/(float)6.0, (float)3.0/(float)6.0,
           (float)4.0/(float)6.0, (float)5.0/(float)6.0};

       /* init the front and back energies to zero */

       memset(fssqEn, 0, NSUB_MAX*sizeof(float));
       memset(bssqEn, 0, NSUB_MAX*sizeof(float));

       /* Calculate front of first seqence */

       n=0;
       pp=residual;
       for (l=0; l<5; l++) {
           fssqEn[n] += sampEn_win[l] * (*pp) * (*pp);
           pp++;
       }
       for (l=5; l<SUBL; l++) {



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           fssqEn[n] += (*pp) * (*pp);
           pp++;
       }

       /* Calculate front and back of all middle sequences */

       for (n=1; n<iLBCenc_inst->nsub-1; n++) {
           pp=residual+n*SUBL;
           for (l=0; l<5; l++) {
               fssqEn[n] += sampEn_win[l] * (*pp) * (*pp);
               bssqEn[n] += (*pp) * (*pp);
               pp++;
           }
           for (l=5; l<SUBL-5; l++) {
               fssqEn[n] += (*pp) * (*pp);
               bssqEn[n] += (*pp) * (*pp);
               pp++;
           }
           for (l=SUBL-5; l<SUBL; l++) {
               fssqEn[n] += (*pp) * (*pp);
               bssqEn[n] += sampEn_win[SUBL-l-1] * (*pp) * (*pp);
               pp++;
           }
       }

       /* Calculate back of last seqence */

       n=iLBCenc_inst->nsub-1;
       pp=residual+n*SUBL;
       for (l=0; l<SUBL-5; l++) {
           bssqEn[n] += (*pp) * (*pp);
           pp++;
       }
       for (l=SUBL-5; l<SUBL; l++) {
           bssqEn[n] += sampEn_win[SUBL-l-1] * (*pp) * (*pp);
           pp++;
       }

       /* find the index to the weighted 80 sample with
          most energy */

       if (iLBCenc_inst->mode==20) l=1;
       else                        l=0;

       max_ssqEn=(fssqEn[0]+bssqEn[1])*ssqEn_win[l];
       max_ssqEn_n=1;
       for (n=2; n<iLBCenc_inst->nsub; n++) {




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           l++;
           if ((fssqEn[n-1]+bssqEn[n])*ssqEn_win[l] > max_ssqEn) {
               max_ssqEn=(fssqEn[n-1]+bssqEn[n]) *
                               ssqEn_win[l];
               max_ssqEn_n=n;
           }
       }

       return max_ssqEn_n;
   }

A.21.  gainquant.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       gainquant.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #ifndef __iLBC_GAINQUANT_H
   #define __iLBC_GAINQUANT_H

   float gainquant(/* (o) quantized gain value */
       float in,       /* (i) gain value */
       float maxIn,/* (i) maximum of gain value */
       int cblen,      /* (i) number of quantization indices */
       int *index      /* (o) quantization index */
   );

   float gaindequant(  /* (o) quantized gain value */
       int index,      /* (i) quantization index */
       float maxIn,/* (i) maximum of unquantized gain */
       int cblen       /* (i) number of quantization indices */
   );

   #endif

A.22.  gainquant.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code




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       gainquant.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include <string.h>
   #include <math.h>
   #include "constants.h"
   #include "filter.h"

   /*----------------------------------------------------------------*
    *  quantizer for the gain in the gain-shape coding of residual
    *---------------------------------------------------------------*/

   float gainquant(/* (o) quantized gain value */
       float in,       /* (i) gain value */
       float maxIn,/* (i) maximum of gain value */
       int cblen,      /* (i) number of quantization indices */
       int *index      /* (o) quantization index */
   ){
       int i, tindex;
       float minmeasure,measure, *cb, scale;

       /* ensure a lower bound on the scaling factor */

       scale=maxIn;

       if (scale<0.1) {
           scale=(float)0.1;
       }

       /* select the quantization table */

       if (cblen == 8) {
           cb = gain_sq3Tbl;
       } else if (cblen == 16) {
           cb = gain_sq4Tbl;
       } else  {
           cb = gain_sq5Tbl;
       }

       /* select the best index in the quantization table */

       minmeasure=10000000.0;
       tindex=0;
       for (i=0; i<cblen; i++) {



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           measure=(in-scale*cb[i])*(in-scale*cb[i]);

           if (measure<minmeasure) {
               tindex=i;
               minmeasure=measure;
           }
       }
       *index=tindex;

       /* return the quantized value */

       return scale*cb[tindex];
   }

   /*----------------------------------------------------------------*
    *  decoder for quantized gains in the gain-shape coding of
    *  residual
    *---------------------------------------------------------------*/

   float gaindequant(  /* (o) quantized gain value */
       int index,      /* (i) quantization index */
       float maxIn,/* (i) maximum of unquantized gain */
       int cblen       /* (i) number of quantization indices */
   ){
       float scale;

       /* obtain correct scale factor */

       scale=(float)fabs(maxIn);

       if (scale<0.1) {
           scale=(float)0.1;
       }

       /* select the quantization table and return the decoded value */

       if (cblen==8) {
           return scale*gain_sq3Tbl[index];
       } else if (cblen==16) {
           return scale*gain_sq4Tbl[index];
       }
       else if (cblen==32) {
           return scale*gain_sq5Tbl[index];
       }

       return 0.0;
   }




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A.23.  getCBvec.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       getCBvec.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #ifndef __iLBC_GETCBVEC_H
   #define __iLBC_GETCBVEC_H

   void getCBvec(
       float *cbvec,   /* (o) Constructed codebook vector */
       float *mem,     /* (i) Codebook buffer */
       int index,      /* (i) Codebook index */
       int lMem,       /* (i) Length of codebook buffer */
       int cbveclen/* (i) Codebook vector length */
   );

   #endif

A.24.  getCBvec.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       getCBvec.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include "iLBC_define.h"
   #include "constants.h"
   #include <string.h>

   /*----------------------------------------------------------------*
    *  Construct codebook vector for given index.
    *---------------------------------------------------------------*/

   void getCBvec(



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       float *cbvec,   /* (o) Constructed codebook vector */
       float *mem,     /* (i) Codebook buffer */
       int index,      /* (i) Codebook index */
       int lMem,       /* (i) Length of codebook buffer */
       int cbveclen/* (i) Codebook vector length */
   ){
       int j, k, n, memInd, sFilt;
       float tmpbuf[CB_MEML];
       int base_size;
       int ilow, ihigh;
       float alfa, alfa1;

       /* Determine size of codebook sections */

       base_size=lMem-cbveclen+1;

       if (cbveclen==SUBL) {
           base_size+=cbveclen/2;
       }

       /* No filter -> First codebook section */

       if (index<lMem-cbveclen+1) {

           /* first non-interpolated vectors */

           k=index+cbveclen;
           /* get vector */
           memcpy(cbvec, mem+lMem-k, cbveclen*sizeof(float));

       } else if (index < base_size) {

           k=2*(index-(lMem-cbveclen+1))+cbveclen;

           ihigh=k/2;
           ilow=ihigh-5;

           /* Copy first noninterpolated part */

           memcpy(cbvec, mem+lMem-k/2, ilow*sizeof(float));

           /* interpolation */

           alfa1=(float)0.2;
           alfa=0.0;
           for (j=ilow; j<ihigh; j++) {
               cbvec[j]=((float)1.0-alfa)*mem[lMem-k/2+j]+
                   alfa*mem[lMem-k+j];



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               alfa+=alfa1;
           }

           /* Copy second noninterpolated part */

           memcpy(cbvec+ihigh, mem+lMem-k+ihigh,
               (cbveclen-ihigh)*sizeof(float));

       }

       /* Higher codebook section based on filtering */

       else {

           /* first non-interpolated vectors */

           if (index-base_size<lMem-cbveclen+1) {
               float tempbuff2[CB_MEML+CB_FILTERLEN+1];
               float *pos;
               float *pp, *pp1;

               memset(tempbuff2, 0,
                   CB_HALFFILTERLEN*sizeof(float));
               memcpy(&tempbuff2[CB_HALFFILTERLEN], mem,
                   lMem*sizeof(float));
               memset(&tempbuff2[lMem+CB_HALFFILTERLEN], 0,
                   (CB_HALFFILTERLEN+1)*sizeof(float));

               k=index-base_size+cbveclen;
               sFilt=lMem-k;
               memInd=sFilt+1-CB_HALFFILTERLEN;

               /* do filtering */
               pos=cbvec;
               memset(pos, 0, cbveclen*sizeof(float));
               for (n=0; n<cbveclen; n++) {
                   pp=&tempbuff2[memInd+n+CB_HALFFILTERLEN];
                   pp1=&cbfiltersTbl[CB_FILTERLEN-1];
                   for (j=0; j<CB_FILTERLEN; j++) {
                       (*pos)+=(*pp++)*(*pp1--);
                   }
                   pos++;
               }
           }

           /* interpolated vectors */

           else {



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               float tempbuff2[CB_MEML+CB_FILTERLEN+1];

               float *pos;
               float *pp, *pp1;
               int i;

               memset(tempbuff2, 0,
                   CB_HALFFILTERLEN*sizeof(float));
               memcpy(&tempbuff2[CB_HALFFILTERLEN], mem,
                   lMem*sizeof(float));
               memset(&tempbuff2[lMem+CB_HALFFILTERLEN], 0,
                   (CB_HALFFILTERLEN+1)*sizeof(float));

               k=2*(index-base_size-
                   (lMem-cbveclen+1))+cbveclen;
               sFilt=lMem-k;
               memInd=sFilt+1-CB_HALFFILTERLEN;

               /* do filtering */
               pos=&tmpbuf[sFilt];
               memset(pos, 0, k*sizeof(float));
               for (i=0; i<k; i++) {
                   pp=&tempbuff2[memInd+i+CB_HALFFILTERLEN];
                   pp1=&cbfiltersTbl[CB_FILTERLEN-1];
                   for (j=0; j<CB_FILTERLEN; j++) {
                       (*pos)+=(*pp++)*(*pp1--);
                   }
                   pos++;
               }

               ihigh=k/2;
               ilow=ihigh-5;

               /* Copy first noninterpolated part */

               memcpy(cbvec, tmpbuf+lMem-k/2,
                   ilow*sizeof(float));

               /* interpolation */

               alfa1=(float)0.2;
               alfa=0.0;
               for (j=ilow; j<ihigh; j++) {
                   cbvec[j]=((float)1.0-alfa)*
                       tmpbuf[lMem-k/2+j]+alfa*tmpbuf[lMem-k+j];
                   alfa+=alfa1;
               }




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               /* Copy second noninterpolated part */

               memcpy(cbvec+ihigh, tmpbuf+lMem-k+ihigh,
                   (cbveclen-ihigh)*sizeof(float));
           }
       }
   }

A.25.  helpfun.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       helpfun.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #ifndef __iLBC_HELPFUN_H
   #define __iLBC_HELPFUN_H

   void autocorr(
       float *r,       /* (o) autocorrelation vector */
       const float *x, /* (i) data vector */
       int N,          /* (i) length of data vector */
       int order       /* largest lag for calculated
                          autocorrelations */
   );

   void window(
       float *z,       /* (o) the windowed data */
       const float *x, /* (i) the original data vector */
       const float *y, /* (i) the window */
       int N           /* (i) length of all vectors */
   );

   void levdurb(
       float *a,       /* (o) lpc coefficient vector starting
                              with 1.0 */
       float *k,       /* (o) reflection coefficients */
       float *r,       /* (i) autocorrelation vector */
       int order       /* (i) order of lpc filter */
   );

   void interpolate(



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       float *out,     /* (o) the interpolated vector */
       float *in1,     /* (i) the first vector for the
                              interpolation */
       float *in2,     /* (i) the second vector for the
                              interpolation */
       float coef,     /* (i) interpolation weights */
       int length      /* (i) length of all vectors */
   );

   void bwexpand(
       float *out,     /* (o) the bandwidth expanded lpc
                              coefficients */
       float *in,      /* (i) the lpc coefficients before bandwidth
                              expansion */
       float coef,     /* (i) the bandwidth expansion factor */
       int length      /* (i) the length of lpc coefficient vectors */
   );

   void vq(
       float *Xq,      /* (o) the quantized vector */
       int *index,     /* (o) the quantization index */
       const float *CB,/* (i) the vector quantization codebook */
       float *X,       /* (i) the vector to quantize */
       int n_cb,       /* (i) the number of vectors in the codebook */
       int dim         /* (i) the dimension of all vectors */
   );

   void SplitVQ(
       float *qX,      /* (o) the quantized vector */
       int *index,     /* (o) a vector of indexes for all vector
                              codebooks in the split */
       float *X,       /* (i) the vector to quantize */
       const float *CB,/* (i) the quantizer codebook */
       int nsplit,     /* the number of vector splits */
       const int *dim, /* the dimension of X and qX */
       const int *cbsize /* the number of vectors in the codebook */
   );


   void sort_sq(
       float *xq,      /* (o) the quantized value */
       int *index,     /* (o) the quantization index */
       float x,    /* (i) the value to quantize */
       const float *cb,/* (i) the quantization codebook */
       int cb_size     /* (i) the size of the quantization codebook */
   );

   int LSF_check(      /* (o) 1 for stable lsf vectors and 0 for



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                              nonstable ones */
       float *lsf,     /* (i) a table of lsf vectors */
       int dim,    /* (i) the dimension of each lsf vector */
       int NoAn    /* (i) the number of lsf vectors in the
                              table */
   );

   #endif

A.26.  helpfun.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       helpfun.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include <math.h>

   #include "iLBC_define.h"
   #include "constants.h"

   /*----------------------------------------------------------------*
    *  calculation of auto correlation
    *---------------------------------------------------------------*/

   void autocorr(
       float *r,       /* (o) autocorrelation vector */
       const float *x, /* (i) data vector */
       int N,          /* (i) length of data vector */
       int order       /* largest lag for calculated
                          autocorrelations */
   ){
       int     lag, n;
       float   sum;

       for (lag = 0; lag <= order; lag++) {
           sum = 0;
           for (n = 0; n < N - lag; n++) {
               sum += x[n] * x[n+lag];
           }
           r[lag] = sum;
       }



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   }

   /*----------------------------------------------------------------*
    *  window multiplication
    *---------------------------------------------------------------*/

   void window(
       float *z,       /* (o) the windowed data */
       const float *x, /* (i) the original data vector */
       const float *y, /* (i) the window */
       int N           /* (i) length of all vectors */
   ){
       int     i;

       for (i = 0; i < N; i++) {
           z[i] = x[i] * y[i];
       }
   }

   /*----------------------------------------------------------------*
    *  levinson-durbin solution for lpc coefficients
    *---------------------------------------------------------------*/

   void levdurb(
       float *a,       /* (o) lpc coefficient vector starting
                              with 1.0 */
       float *k,       /* (o) reflection coefficients */
       float *r,       /* (i) autocorrelation vector */
       int order       /* (i) order of lpc filter */
   ){
       float  sum, alpha;
       int     m, m_h, i;

       a[0] = 1.0;

       if (r[0] < EPS) { /* if r[0] <= 0, set LPC coeff. to zero */
           for (i = 0; i < order; i++) {
               k[i] = 0;
               a[i+1] = 0;
           }
       } else {
           a[1] = k[0] = -r[1]/r[0];
           alpha = r[0] + r[1] * k[0];
           for (m = 1; m < order; m++){
               sum = r[m + 1];
               for (i = 0; i < m; i++){
                   sum += a[i+1] * r[m - i];
               }



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               k[m] = -sum / alpha;
               alpha += k[m] * sum;
               m_h = (m + 1) >> 1;
               for (i = 0; i < m_h; i++){
                   sum = a[i+1] + k[m] * a[m - i];
                   a[m - i] += k[m] * a[i+1];
                   a[i+1] = sum;
               }
               a[m+1] = k[m];
           }
       }
   }

   /*----------------------------------------------------------------*
    *  interpolation between vectors
    *---------------------------------------------------------------*/

   void interpolate(
       float *out,      /* (o) the interpolated vector */
       float *in1,     /* (i) the first vector for the
                              interpolation */
       float *in2,     /* (i) the second vector for the
                              interpolation */
       float coef,      /* (i) interpolation weights */
       int length      /* (i) length of all vectors */
   ){
       int i;
       float invcoef;

       invcoef = (float)1.0 - coef;
       for (i = 0; i < length; i++) {
           out[i] = coef * in1[i] + invcoef * in2[i];
       }
   }

   /*----------------------------------------------------------------*
    *  lpc bandwidth expansion
    *---------------------------------------------------------------*/

   void bwexpand(
       float *out,      /* (o) the bandwidth expanded lpc
                              coefficients */
       float *in,      /* (i) the lpc coefficients before bandwidth
                              expansion */
       float coef,     /* (i) the bandwidth expansion factor */
       int length      /* (i) the length of lpc coefficient vectors */
   ){
       int i;



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       float  chirp;

       chirp = coef;

       out[0] = in[0];
       for (i = 1; i < length; i++) {
           out[i] = chirp * in[i];
           chirp *= coef;
       }
   }

   /*----------------------------------------------------------------*
    *  vector quantization
    *---------------------------------------------------------------*/

   void vq(
       float *Xq,      /* (o) the quantized vector */
       int *index,     /* (o) the quantization index */
       const float *CB,/* (i) the vector quantization codebook */
       float *X,       /* (i) the vector to quantize */
       int n_cb,       /* (i) the number of vectors in the codebook */
       int dim         /* (i) the dimension of all vectors */
   ){
       int     i, j;
       int     pos, minindex;
       float   dist, tmp, mindist;

       pos = 0;
       mindist = FLOAT_MAX;
       minindex = 0;
       for (j = 0; j < n_cb; j++) {
           dist = X[0] - CB[pos];
           dist *= dist;
           for (i = 1; i < dim; i++) {
               tmp = X[i] - CB[pos + i];
               dist += tmp*tmp;
           }

           if (dist < mindist) {
               mindist = dist;
               minindex = j;
           }
           pos += dim;
       }
       for (i = 0; i < dim; i++) {
           Xq[i] = CB[minindex*dim + i];
       }
       *index = minindex;



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   }

   /*----------------------------------------------------------------*
    *  split vector quantization
    *---------------------------------------------------------------*/

   void SplitVQ(
       float *qX,      /* (o) the quantized vector */
       int *index,     /* (o) a vector of indexes for all vector
                              codebooks in the split */
       float *X,       /* (i) the vector to quantize */
       const float *CB,/* (i) the quantizer codebook */
       int nsplit,     /* the number of vector splits */
       const int *dim, /* the dimension of X and qX */
       const int *cbsize /* the number of vectors in the codebook */
   ){
       int    cb_pos, X_pos, i;

       cb_pos = 0;
       X_pos= 0;
       for (i = 0; i < nsplit; i++) {
           vq(qX + X_pos, index + i, CB + cb_pos, X + X_pos,
               cbsize[i], dim[i]);
           X_pos += dim[i];
           cb_pos += dim[i] * cbsize[i];
       }
   }

   /*----------------------------------------------------------------*
    *  scalar quantization
    *---------------------------------------------------------------*/

   void sort_sq(
       float *xq,      /* (o) the quantized value */
       int *index,     /* (o) the quantization index */
       float x,    /* (i) the value to quantize */
       const float *cb,/* (i) the quantization codebook */
       int cb_size      /* (i) the size of the quantization codebook */
   ){
       int i;

       if (x <= cb[0]) {
           *index = 0;
           *xq = cb[0];
       } else {
           i = 0;
           while ((x > cb[i]) && i < cb_size - 1) {
               i++;



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           }

           if (x > ((cb[i] + cb[i - 1])/2)) {
               *index = i;
               *xq = cb[i];
           } else {
               *index = i - 1;
               *xq = cb[i - 1];
           }
       }
   }

   /*----------------------------------------------------------------*
    *  check for stability of lsf coefficients
    *---------------------------------------------------------------*/

   int LSF_check(    /* (o) 1 for stable lsf vectors and 0 for
                              nonstable ones */
       float *lsf,     /* (i) a table of lsf vectors */
       int dim,    /* (i) the dimension of each lsf vector */
       int NoAn    /* (i) the number of lsf vectors in the
                              table */
   ){
       int k,n,m, Nit=2, change=0,pos;
       float tmp;
       static float eps=(float)0.039; /* 50 Hz */
       static float eps2=(float)0.0195;
       static float maxlsf=(float)3.14; /* 4000 Hz */
       static float minlsf=(float)0.01; /* 0 Hz */

       /* LSF separation check*/

       for (n=0; n<Nit; n++) { /* Run through a couple of times */
           for (m=0; m<NoAn; m++) { /* Number of analyses per frame */
               for (k=0; k<(dim-1); k++) {
                   pos=m*dim+k;

                   if ((lsf[pos+1]-lsf[pos])<eps) {

                       if (lsf[pos+1]<lsf[pos]) {
                           tmp=lsf[pos+1];
                           lsf[pos+1]= lsf[pos]+eps2;
                           lsf[pos]= lsf[pos+1]-eps2;
                       } else {
                           lsf[pos]-=eps2;
                           lsf[pos+1]+=eps2;
                       }
                       change=1;



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                   }

                   if (lsf[pos]<minlsf) {
                       lsf[pos]=minlsf;
                       change=1;
                   }

                   if (lsf[pos]>maxlsf) {
                       lsf[pos]=maxlsf;
                       change=1;
                   }
               }
           }
       }

       return change;
   }

A.27.  hpInput.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       hpInput.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #ifndef __iLBC_HPINPUT_H
   #define __iLBC_HPINPUT_H

   void hpInput(
       float *In,  /* (i) vector to filter */
       int len,    /* (i) length of vector to filter */
       float *Out, /* (o) the resulting filtered vector */
       float *mem  /* (i/o) the filter state */
   );

   #endif

A.28.  hpInput.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code



Andersen, et al.              Experimental                    [Page 146]

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       hpInput.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include "constants.h"

   /*----------------------------------------------------------------*
    *  Input high-pass filter
    *---------------------------------------------------------------*/

   void hpInput(
       float *In,  /* (i) vector to filter */
       int len,    /* (i) length of vector to filter */
       float *Out, /* (o) the resulting filtered vector */
       float *mem  /* (i/o) the filter state */
   ){
       int i;
       float *pi, *po;

       /* all-zero section*/

       pi = &In[0];
       po = &Out[0];
       for (i=0; i<len; i++) {
           *po = hpi_zero_coefsTbl[0] * (*pi);
           *po += hpi_zero_coefsTbl[1] * mem[0];
           *po += hpi_zero_coefsTbl[2] * mem[1];

           mem[1] = mem[0];
           mem[0] = *pi;
           po++;
           pi++;

       }

       /* all-pole section*/

       po = &Out[0];
       for (i=0; i<len; i++) {
           *po -= hpi_pole_coefsTbl[1] * mem[2];
           *po -= hpi_pole_coefsTbl[2] * mem[3];

           mem[3] = mem[2];
           mem[2] = *po;
           po++;



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       }
   }

A.29.  hpOutput.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       hpOutput.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #ifndef __iLBC_HPOUTPUT_H
   #define __iLBC_HPOUTPUT_H

   void hpOutput(
       float *In,  /* (i) vector to filter */
       int len,/* (i) length of vector to filter */
       float *Out, /* (o) the resulting filtered vector */
       float *mem  /* (i/o) the filter state */
   );

   #endif

A.30.  hpOutput.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       hpOutput.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include "constants.h"

   /*----------------------------------------------------------------*
    *  Output high-pass filter
    *---------------------------------------------------------------*/

   void hpOutput(



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       float *In,  /* (i) vector to filter */
       int len,/* (i) length of vector to filter */
       float *Out, /* (o) the resulting filtered vector */
       float *mem  /* (i/o) the filter state */
   ){
       int i;
       float *pi, *po;

       /* all-zero section*/

       pi = &In[0];
       po = &Out[0];
       for (i=0; i<len; i++) {
           *po = hpo_zero_coefsTbl[0] * (*pi);
           *po += hpo_zero_coefsTbl[1] * mem[0];
           *po += hpo_zero_coefsTbl[2] * mem[1];

           mem[1] = mem[0];
           mem[0] = *pi;
           po++;
           pi++;

       }

       /* all-pole section*/

       po = &Out[0];
       for (i=0; i<len; i++) {
           *po -= hpo_pole_coefsTbl[1] * mem[2];
           *po -= hpo_pole_coefsTbl[2] * mem[3];

           mem[3] = mem[2];
           mem[2] = *po;
           po++;
       }
   }

A.31.  iCBConstruct.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       iCBConstruct.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.




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   ******************************************************************/

   #ifndef __iLBC_ICBCONSTRUCT_H
   #define __iLBC_ICBCONSTRUCT_H

   void index_conv_enc(
       int *index          /* (i/o) Codebook indexes */
   );

   void index_conv_dec(
       int *index          /* (i/o) Codebook indexes */
   );

   void iCBConstruct(
       float *decvector,   /* (o) Decoded vector */
       int *index,         /* (i) Codebook indices */
       int *gain_index,/* (i) Gain quantization indices */
       float *mem,         /* (i) Buffer for codevector construction */
       int lMem,           /* (i) Length of buffer */
       int veclen,         /* (i) Length of vector */
       int nStages         /* (i) Number of codebook stages */
   );

   #endif

A.32.  iCBConstruct.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       iCBConstruct.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include <math.h>

   #include "iLBC_define.h"
   #include "gainquant.h"
   #include "getCBvec.h"

   /*----------------------------------------------------------------*
    *  Convert the codebook indexes to make the search easier
    *---------------------------------------------------------------*/




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   void index_conv_enc(
       int *index          /* (i/o) Codebook indexes */
   ){
       int k;

       for (k=1; k<CB_NSTAGES; k++) {

           if ((index[k]>=108)&&(index[k]<172)) {
               index[k]-=64;
           } else if (index[k]>=236) {
               index[k]-=128;
           } else {
               /* ERROR */
           }
       }
   }

   void index_conv_dec(
       int *index          /* (i/o) Codebook indexes */
   ){
       int k;

       for (k=1; k<CB_NSTAGES; k++) {

           if ((index[k]>=44)&&(index[k]<108)) {
               index[k]+=64;
           } else if ((index[k]>=108)&&(index[k]<128)) {
               index[k]+=128;
           } else {
               /* ERROR */
           }
       }
   }

   /*----------------------------------------------------------------*
    *  Construct decoded vector from codebook and gains.
    *---------------------------------------------------------------*/

   void iCBConstruct(
       float *decvector,   /* (o) Decoded vector */
       int *index,         /* (i) Codebook indices */
       int *gain_index,/* (i) Gain quantization indices */
       float *mem,         /* (i) Buffer for codevector construction */
       int lMem,           /* (i) Length of buffer */
       int veclen,         /* (i) Length of vector */
       int nStages         /* (i) Number of codebook stages */
   ){
       int j,k;



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       float gain[CB_NSTAGES];
       float cbvec[SUBL];

       /* gain de-quantization */

       gain[0] = gaindequant(gain_index[0], 1.0, 32);
       if (nStages > 1) {
           gain[1] = gaindequant(gain_index[1],
               (float)fabs(gain[0]), 16);
       }
       if (nStages > 2) {
           gain[2] = gaindequant(gain_index[2],
               (float)fabs(gain[1]), 8);
       }

       /* codebook vector construction and construction of
       total vector */

       getCBvec(cbvec, mem, index[0], lMem, veclen);
       for (j=0;j<veclen;j++){
           decvector[j] = gain[0]*cbvec[j];
       }
       if (nStages > 1) {
           for (k=1; k<nStages; k++) {
               getCBvec(cbvec, mem, index[k], lMem, veclen);
               for (j=0;j<veclen;j++) {
                   decvector[j] += gain[k]*cbvec[j];
               }
           }
       }
   }

A.33.  iCBSearch.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       iCBSearch.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #ifndef __iLBC_ICBSEARCH_H
   #define __iLBC_ICBSEARCH_H




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   void iCBSearch(
       iLBC_Enc_Inst_t *iLBCenc_inst,
                           /* (i) the encoder state structure */
       int *index,         /* (o) Codebook indices */
       int *gain_index,/* (o) Gain quantization indices */
       float *intarget,/* (i) Target vector for encoding */
       float *mem,         /* (i) Buffer for codebook construction */
       int lMem,           /* (i) Length of buffer */
       int lTarget,    /* (i) Length of vector */
       int nStages,    /* (i) Number of codebook stages */
       float *weightDenum, /* (i) weighting filter coefficients */
       float *weightState, /* (i) weighting filter state */
       int block           /* (i) the sub-block number */
   );

   #endif

A.34.  iCBSearch.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       iCBSearch.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include <math.h>
   #include <string.h>

   #include "iLBC_define.h"
   #include "gainquant.h"
   #include "createCB.h"
   #include "filter.h"
   #include "constants.h"

   /*----------------------------------------------------------------*
    *  Search routine for codebook encoding and gain quantization.
    *---------------------------------------------------------------*/

   void iCBSearch(
       iLBC_Enc_Inst_t *iLBCenc_inst,
                           /* (i) the encoder state structure */
       int *index,         /* (o) Codebook indices */
       int *gain_index,/* (o) Gain quantization indices */



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       float *intarget,/* (i) Target vector for encoding */
       float *mem,         /* (i) Buffer for codebook construction */
       int lMem,           /* (i) Length of buffer */
       int lTarget,    /* (i) Length of vector */
       int nStages,    /* (i) Number of codebook stages */
       float *weightDenum, /* (i) weighting filter coefficients */
       float *weightState, /* (i) weighting filter state */
       int block           /* (i) the sub-block number */
   ){
       int i, j, icount, stage, best_index, range, counter;
       float max_measure, gain, measure, crossDot, ftmp;
       float gains[CB_NSTAGES];
       float target[SUBL];
       int base_index, sInd, eInd, base_size;
       int sIndAug=0, eIndAug=0;
       float buf[CB_MEML+SUBL+2*LPC_FILTERORDER];
       float invenergy[CB_EXPAND*128], energy[CB_EXPAND*128];
       float *pp, *ppi=0, *ppo=0, *ppe=0;
       float cbvectors[CB_MEML];
       float tene, cene, cvec[SUBL];
       float aug_vec[SUBL];

       memset(cvec,0,SUBL*sizeof(float));

       /* Determine size of codebook sections */

       base_size=lMem-lTarget+1;

       if (lTarget==SUBL) {
           base_size=lMem-lTarget+1+lTarget/2;
       }

       /* setup buffer for weighting */

       memcpy(buf,weightState,sizeof(float)*LPC_FILTERORDER);
       memcpy(buf+LPC_FILTERORDER,mem,lMem*sizeof(float));
       memcpy(buf+LPC_FILTERORDER+lMem,intarget,lTarget*sizeof(float));

       /* weighting */

       AllPoleFilter(buf+LPC_FILTERORDER, weightDenum,
           lMem+lTarget, LPC_FILTERORDER);

       /* Construct the codebook and target needed */

       memcpy(target, buf+LPC_FILTERORDER+lMem, lTarget*sizeof(float));

       tene=0.0;



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       for (i=0; i<lTarget; i++) {
           tene+=target[i]*target[i];
       }

       /* Prepare search over one more codebook section. This section
          is created by filtering the original buffer with a filter. */

       filteredCBvecs(cbvectors, buf+LPC_FILTERORDER, lMem);

       /* The Main Loop over stages */

       for (stage=0; stage<nStages; stage++) {

           range = search_rangeTbl[block][stage];

           /* initialize search measure */

           max_measure = (float)-10000000.0;
           gain = (float)0.0;
           best_index = 0;

           /* Compute cross dot product between the target
              and the CB memory */

           crossDot=0.0;
           pp=buf+LPC_FILTERORDER+lMem-lTarget;
           for (j=0; j<lTarget; j++) {
               crossDot += target[j]*(*pp++);
           }

           if (stage==0) {

               /* Calculate energy in the first block of
                 'lTarget' samples. */
               ppe = energy;
               ppi = buf+LPC_FILTERORDER+lMem-lTarget-1;
               ppo = buf+LPC_FILTERORDER+lMem-1;

               *ppe=0.0;
               pp=buf+LPC_FILTERORDER+lMem-lTarget;
               for (j=0; j<lTarget; j++) {
                   *ppe+=(*pp)*(*pp++);
               }

               if (*ppe>0.0) {
                   invenergy[0] = (float) 1.0 / (*ppe + EPS);
               } else {
                   invenergy[0] = (float) 0.0;



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               }
               ppe++;

               measure=(float)-10000000.0;

               if (crossDot > 0.0) {
                      measure = crossDot*crossDot*invenergy[0];
               }
           }
           else {
               measure = crossDot*crossDot*invenergy[0];
           }

           /* check if measure is better */
           ftmp = crossDot*invenergy[0];

           if ((measure>max_measure) && (fabs(ftmp)<CB_MAXGAIN)) {
               best_index = 0;
               max_measure = measure;
               gain = ftmp;
           }

           /* loop over the main first codebook section,
              full search */

           for (icount=1; icount<range; icount++) {

               /* calculate measure */

               crossDot=0.0;
               pp = buf+LPC_FILTERORDER+lMem-lTarget-icount;

               for (j=0; j<lTarget; j++) {
                   crossDot += target[j]*(*pp++);
               }

               if (stage==0) {
                   *ppe++ = energy[icount-1] + (*ppi)*(*ppi) -
                       (*ppo)*(*ppo);
                   ppo--;
                   ppi--;

                   if (energy[icount]>0.0) {
                       invenergy[icount] =
                           (float)1.0/(energy[icount]+EPS);
                   } else {
                       invenergy[icount] = (float) 0.0;
                   }



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                   measure=(float)-10000000.0;

                   if (crossDot > 0.0) {
                       measure = crossDot*crossDot*invenergy[icount];
                   }
               }
               else {
                   measure = crossDot*crossDot*invenergy[icount];
               }

               /* check if measure is better */
               ftmp = crossDot*invenergy[icount];

               if ((measure>max_measure) && (fabs(ftmp)<CB_MAXGAIN)) {
                   best_index = icount;
                   max_measure = measure;
                   gain = ftmp;
               }
           }

           /* Loop over augmented part in the first codebook
            * section, full search.
            * The vectors are interpolated.
            */

           if (lTarget==SUBL) {

               /* Search for best possible cb vector and
                  compute the CB-vectors' energy. */
               searchAugmentedCB(20, 39, stage, base_size-lTarget/2,
                   target, buf+LPC_FILTERORDER+lMem,
                   &max_measure, &best_index, &gain, energy,
                   invenergy);
           }

           /* set search range for following codebook sections */

           base_index=best_index;

           /* unrestricted search */

           if (CB_RESRANGE == -1) {
               sInd=0;
               eInd=range-1;
               sIndAug=20;
               eIndAug=39;
           }




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           /* restricted search around best index from first
           codebook section */

           else {
               /* Initialize search indices */
               sIndAug=0;
               eIndAug=0;
               sInd=base_index-CB_RESRANGE/2;
               eInd=sInd+CB_RESRANGE;

               if (lTarget==SUBL) {

                   if (sInd<0) {

                       sIndAug = 40 + sInd;
                       eIndAug = 39;
                       sInd=0;

                   } else if ( base_index < (base_size-20) ) {

                       if (eInd > range) {
                           sInd -= (eInd-range);
                           eInd = range;
                       }
                   } else { /* base_index >= (base_size-20) */

                       if (sInd < (base_size-20)) {
                           sIndAug = 20;
                           sInd = 0;
                           eInd = 0;
                           eIndAug = 19 + CB_RESRANGE;

                           if(eIndAug > 39) {
                               eInd = eIndAug-39;
                               eIndAug = 39;
                           }
                       } else {
                           sIndAug = 20 + sInd - (base_size-20);
                           eIndAug = 39;
                           sInd = 0;
                           eInd = CB_RESRANGE - (eIndAug-sIndAug+1);
                       }
                   }

               } else { /* lTarget = 22 or 23 */

                   if (sInd < 0) {
                       eInd -= sInd;



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                       sInd = 0;
                   }

                   if(eInd > range) {
                       sInd -= (eInd - range);
                       eInd = range;
                   }
               }
           }

           /* search of higher codebook section */

           /* index search range */
           counter = sInd;
           sInd += base_size;
           eInd += base_size;


           if (stage==0) {
               ppe = energy+base_size;
               *ppe=0.0;

               pp=cbvectors+lMem-lTarget;
               for (j=0; j<lTarget; j++) {
                   *ppe+=(*pp)*(*pp++);
               }

               ppi = cbvectors + lMem - 1 - lTarget;
               ppo = cbvectors + lMem - 1;

               for (j=0; j<(range-1); j++) {
                   *(ppe+1) = *ppe + (*ppi)*(*ppi) - (*ppo)*(*ppo);
                   ppo--;
                   ppi--;
                   ppe++;
               }
           }

           /* loop over search range */

           for (icount=sInd; icount<eInd; icount++) {

               /* calculate measure */

               crossDot=0.0;
               pp=cbvectors + lMem - (counter++) - lTarget;

               for (j=0;j<lTarget;j++) {



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                   crossDot += target[j]*(*pp++);
               }

               if (energy[icount]>0.0) {
                   invenergy[icount] =(float)1.0/(energy[icount]+EPS);
               } else {
                   invenergy[icount] =(float)0.0;
               }

               if (stage==0) {

                   measure=(float)-10000000.0;

                   if (crossDot > 0.0) {
                       measure = crossDot*crossDot*
                           invenergy[icount];
                   }
               }
               else {
                   measure = crossDot*crossDot*invenergy[icount];
               }

               /* check if measure is better */
               ftmp = crossDot*invenergy[icount];

               if ((measure>max_measure) && (fabs(ftmp)<CB_MAXGAIN)) {
                   best_index = icount;
                   max_measure = measure;
                   gain = ftmp;
               }
           }

           /* Search the augmented CB inside the limited range. */

           if ((lTarget==SUBL)&&(sIndAug!=0)) {
               searchAugmentedCB(sIndAug, eIndAug, stage,
                   2*base_size-20, target, cbvectors+lMem,
                   &max_measure, &best_index, &gain, energy,
                   invenergy);
           }

           /* record best index */

           index[stage] = best_index;

           /* gain quantization */

           if (stage==0){



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               if (gain<0.0){
                   gain = 0.0;
               }

               if (gain>CB_MAXGAIN) {
                   gain = (float)CB_MAXGAIN;
               }
               gain = gainquant(gain, 1.0, 32, &gain_index[stage]);
           }
           else {
               if (stage==1) {
                   gain = gainquant(gain, (float)fabs(gains[stage-1]),
                       16, &gain_index[stage]);
               } else {
                   gain = gainquant(gain, (float)fabs(gains[stage-1]),
                       8, &gain_index[stage]);
               }
           }

           /* Extract the best (according to measure)
              codebook vector */

           if (lTarget==(STATE_LEN-iLBCenc_inst->state_short_len)) {

               if (index[stage]<base_size) {
                   pp=buf+LPC_FILTERORDER+lMem-lTarget-index[stage];
               } else {
                   pp=cbvectors+lMem-lTarget-
                       index[stage]+base_size;
               }
           } else {

               if (index[stage]<base_size) {
                   if (index[stage]<(base_size-20)) {
                       pp=buf+LPC_FILTERORDER+lMem-
                           lTarget-index[stage];
                   } else {
                       createAugmentedVec(index[stage]-base_size+40,
                               buf+LPC_FILTERORDER+lMem,aug_vec);
                       pp=aug_vec;
                   }
               } else {
                   int filterno, position;

                   filterno=index[stage]/base_size;
                   position=index[stage]-filterno*base_size;




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                   if (position<(base_size-20)) {
                       pp=cbvectors+filterno*lMem-lTarget-
                           index[stage]+filterno*base_size;
                   } else {
                       createAugmentedVec(
                           index[stage]-(filterno+1)*base_size+40,
                           cbvectors+filterno*lMem,aug_vec);
                       pp=aug_vec;
                   }
               }
           }

           /* Subtract the best codebook vector, according
              to measure, from the target vector */

           for (j=0;j<lTarget;j++) {
               cvec[j] += gain*(*pp);
               target[j] -= gain*(*pp++);
           }

           /* record quantized gain */

           gains[stage]=gain;

       }/* end of Main Loop. for (stage=0;... */

       /* Gain adjustment for energy matching */
       cene=0.0;
       for (i=0; i<lTarget; i++) {
           cene+=cvec[i]*cvec[i];
       }
       j=gain_index[0];

       for (i=gain_index[0]; i<32; i++) {
           ftmp=cene*gain_sq5Tbl[i]*gain_sq5Tbl[i];

           if ((ftmp<(tene*gains[0]*gains[0])) &&
               (gain_sq5Tbl[j]<(2.0*gains[0]))) {
               j=i;
           }
       }
       gain_index[0]=j;
   }







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A.35.  LPCdecode.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       LPC_decode.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #ifndef __iLBC_LPC_DECODE_H
   #define __iLBC_LPC_DECODE_H

   void LSFinterpolate2a_dec(
       float *a,           /* (o) lpc coefficients for a sub-frame */
       float *lsf1,    /* (i) first lsf coefficient vector */
       float *lsf2,    /* (i) second lsf coefficient vector */
       float coef,         /* (i) interpolation weight */
       int length          /* (i) length of lsf vectors */
   );

   void SimplelsfDEQ(
       float *lsfdeq,      /* (o) dequantized lsf coefficients */
       int *index,         /* (i) quantization index */
       int lpc_n           /* (i) number of LPCs */
   );

   void DecoderInterpolateLSF(
       float *syntdenum,   /* (o) synthesis filter coefficients */
       float *weightdenum, /* (o) weighting denumerator
                                  coefficients */
       float *lsfdeq,      /* (i) dequantized lsf coefficients */
       int length,         /* (i) length of lsf coefficient vector */
       iLBC_Dec_Inst_t *iLBCdec_inst
                           /* (i) the decoder state structure */
   );

   #endif










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A.36.  LPCdecode.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       LPC_decode.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include <math.h>
   #include <string.h>

   #include "helpfun.h"
   #include "lsf.h"
   #include "iLBC_define.h"
   #include "constants.h"

   /*---------------------------------------------------------------*
    *  interpolation of lsf coefficients for the decoder
    *--------------------------------------------------------------*/

   void LSFinterpolate2a_dec(
       float *a,           /* (o) lpc coefficients for a sub-frame */
       float *lsf1,    /* (i) first lsf coefficient vector */
       float *lsf2,    /* (i) second lsf coefficient vector */
       float coef,         /* (i) interpolation weight */
       int length          /* (i) length of lsf vectors */
   ){
       float  lsftmp[LPC_FILTERORDER];

       interpolate(lsftmp, lsf1, lsf2, coef, length);
       lsf2a(a, lsftmp);
   }

   /*---------------------------------------------------------------*
    *  obtain dequantized lsf coefficients from quantization index
    *--------------------------------------------------------------*/

   void SimplelsfDEQ(
       float *lsfdeq,    /* (o) dequantized lsf coefficients */
       int *index,         /* (i) quantization index */
       int lpc_n           /* (i) number of LPCs */
   ){
       int i, j, pos, cb_pos;



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       /* decode first LSF */

       pos = 0;
       cb_pos = 0;
       for (i = 0; i < LSF_NSPLIT; i++) {
           for (j = 0; j < dim_lsfCbTbl[i]; j++) {
               lsfdeq[pos + j] = lsfCbTbl[cb_pos +
                   (long)(index[i])*dim_lsfCbTbl[i] + j];
           }
           pos += dim_lsfCbTbl[i];
           cb_pos += size_lsfCbTbl[i]*dim_lsfCbTbl[i];
       }

       if (lpc_n>1) {

           /* decode last LSF */

           pos = 0;
           cb_pos = 0;
           for (i = 0; i < LSF_NSPLIT; i++) {
               for (j = 0; j < dim_lsfCbTbl[i]; j++) {
                   lsfdeq[LPC_FILTERORDER + pos + j] =
                       lsfCbTbl[cb_pos +
                       (long)(index[LSF_NSPLIT + i])*
                       dim_lsfCbTbl[i] + j];
               }
               pos += dim_lsfCbTbl[i];
               cb_pos += size_lsfCbTbl[i]*dim_lsfCbTbl[i];
           }
       }
   }

   /*----------------------------------------------------------------*
    *  obtain synthesis and weighting filters form lsf coefficients
    *---------------------------------------------------------------*/

   void DecoderInterpolateLSF(
       float *syntdenum, /* (o) synthesis filter coefficients */
       float *weightdenum, /* (o) weighting denumerator
                                  coefficients */
       float *lsfdeq,       /* (i) dequantized lsf coefficients */
       int length,         /* (i) length of lsf coefficient vector */
       iLBC_Dec_Inst_t *iLBCdec_inst
                           /* (i) the decoder state structure */
   ){
       int    i, pos, lp_length;
       float  lp[LPC_FILTERORDER + 1], *lsfdeq2;




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       lsfdeq2 = lsfdeq + length;
       lp_length = length + 1;

       if (iLBCdec_inst->mode==30) {
           /* sub-frame 1: Interpolation between old and first */

           LSFinterpolate2a_dec(lp, iLBCdec_inst->lsfdeqold, lsfdeq,
               lsf_weightTbl_30ms[0], length);
           memcpy(syntdenum,lp,lp_length*sizeof(float));
           bwexpand(weightdenum, lp, LPC_CHIRP_WEIGHTDENUM,
               lp_length);

           /* sub-frames 2 to 6: interpolation between first
              and last LSF */

           pos = lp_length;
           for (i = 1; i < 6; i++) {
               LSFinterpolate2a_dec(lp, lsfdeq, lsfdeq2,
                   lsf_weightTbl_30ms[i], length);
               memcpy(syntdenum + pos,lp,lp_length*sizeof(float));
               bwexpand(weightdenum + pos, lp,
                   LPC_CHIRP_WEIGHTDENUM, lp_length);
               pos += lp_length;
           }
       }
       else {
           pos = 0;
           for (i = 0; i < iLBCdec_inst->nsub; i++) {
               LSFinterpolate2a_dec(lp, iLBCdec_inst->lsfdeqold,
                   lsfdeq, lsf_weightTbl_20ms[i], length);
               memcpy(syntdenum+pos,lp,lp_length*sizeof(float));
               bwexpand(weightdenum+pos, lp, LPC_CHIRP_WEIGHTDENUM,
                   lp_length);
               pos += lp_length;
           }
       }

       /* update memory */

       if (iLBCdec_inst->mode==30)
           memcpy(iLBCdec_inst->lsfdeqold, lsfdeq2,
                       length*sizeof(float));
       else
           memcpy(iLBCdec_inst->lsfdeqold, lsfdeq,
                       length*sizeof(float));

   }




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A.37.  LPCencode.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       LPCencode.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #ifndef __iLBC_LPCENCOD_H
   #define __iLBC_LPCENCOD_H

   void LPCencode(
       float *syntdenum,   /* (i/o) synthesis filter coefficients
                                  before/after encoding */
       float *weightdenum, /* (i/o) weighting denumerator coefficients
                                  before/after encoding */
       int *lsf_index,     /* (o) lsf quantization index */
       float *data,    /* (i) lsf coefficients to quantize */
       iLBC_Enc_Inst_t *iLBCenc_inst
                           /* (i/o) the encoder state structure */
   );

   #endif

A.38.  LPCencode.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       LPCencode.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include <string.h>

   #include "iLBC_define.h"
   #include "helpfun.h"
   #include "lsf.h"
   #include "constants.h"



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   /*----------------------------------------------------------------*
    *  lpc analysis (subroutine to LPCencode)
    *---------------------------------------------------------------*/

   void SimpleAnalysis(
       float *lsf,         /* (o) lsf coefficients */
       float *data,    /* (i) new data vector */
       iLBC_Enc_Inst_t *iLBCenc_inst
                           /* (i/o) the encoder state structure */
   ){
       int k, is;
       float temp[BLOCKL_MAX], lp[LPC_FILTERORDER + 1];
       float lp2[LPC_FILTERORDER + 1];
       float r[LPC_FILTERORDER + 1];

       is=LPC_LOOKBACK+BLOCKL_MAX-iLBCenc_inst->blockl;
       memcpy(iLBCenc_inst->lpc_buffer+is,data,
           iLBCenc_inst->blockl*sizeof(float));

       /* No lookahead, last window is asymmetric */

       for (k = 0; k < iLBCenc_inst->lpc_n; k++) {

           is = LPC_LOOKBACK;

           if (k < (iLBCenc_inst->lpc_n - 1)) {
               window(temp, lpc_winTbl,
                   iLBCenc_inst->lpc_buffer, BLOCKL_MAX);
           } else {
               window(temp, lpc_asymwinTbl,
                   iLBCenc_inst->lpc_buffer + is, BLOCKL_MAX);
           }

           autocorr(r, temp, BLOCKL_MAX, LPC_FILTERORDER);
           window(r, r, lpc_lagwinTbl, LPC_FILTERORDER + 1);

           levdurb(lp, temp, r, LPC_FILTERORDER);
           bwexpand(lp2, lp, LPC_CHIRP_SYNTDENUM, LPC_FILTERORDER+1);

           a2lsf(lsf + k*LPC_FILTERORDER, lp2);
       }
       is=LPC_LOOKBACK+BLOCKL_MAX-iLBCenc_inst->blockl;
       memmove(iLBCenc_inst->lpc_buffer,
           iLBCenc_inst->lpc_buffer+LPC_LOOKBACK+BLOCKL_MAX-is,
           is*sizeof(float));
   }

   /*----------------------------------------------------------------*



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    *  lsf interpolator and conversion from lsf to a coefficients
    *  (subroutine to SimpleInterpolateLSF)
    *---------------------------------------------------------------*/

   void LSFinterpolate2a_enc(
       float *a,       /* (o) lpc coefficients */
       float *lsf1,/* (i) first set of lsf coefficients */
       float *lsf2,/* (i) second set of lsf coefficients */
       float coef,     /* (i) weighting coefficient to use between
                              lsf1 and lsf2 */
       long length      /* (i) length of coefficient vectors */
   ){
       float  lsftmp[LPC_FILTERORDER];

       interpolate(lsftmp, lsf1, lsf2, coef, length);
       lsf2a(a, lsftmp);
   }

   /*----------------------------------------------------------------*
    *  lsf interpolator (subroutine to LPCencode)
    *---------------------------------------------------------------*/

   void SimpleInterpolateLSF(
       float *syntdenum,   /* (o) the synthesis filter denominator
                                  resulting from the quantized
                                  interpolated lsf */
       float *weightdenum, /* (o) the weighting filter denominator
                                  resulting from the unquantized
                                  interpolated lsf */
       float *lsf,         /* (i) the unquantized lsf coefficients */
       float *lsfdeq,      /* (i) the dequantized lsf coefficients */
       float *lsfold,      /* (i) the unquantized lsf coefficients of
                                  the previous signal frame */
       float *lsfdeqold, /* (i) the dequantized lsf coefficients of
                                  the previous signal frame */
       int length,         /* (i) should equate LPC_FILTERORDER */
       iLBC_Enc_Inst_t *iLBCenc_inst
                           /* (i/o) the encoder state structure */
   ){
       int    i, pos, lp_length;
       float  lp[LPC_FILTERORDER + 1], *lsf2, *lsfdeq2;

       lsf2 = lsf + length;
       lsfdeq2 = lsfdeq + length;
       lp_length = length + 1;

       if (iLBCenc_inst->mode==30) {
           /* sub-frame 1: Interpolation between old and first



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              set of lsf coefficients */

           LSFinterpolate2a_enc(lp, lsfdeqold, lsfdeq,
               lsf_weightTbl_30ms[0], length);
           memcpy(syntdenum,lp,lp_length*sizeof(float));
           LSFinterpolate2a_enc(lp, lsfold, lsf,
               lsf_weightTbl_30ms[0], length);
           bwexpand(weightdenum, lp, LPC_CHIRP_WEIGHTDENUM, lp_length);

           /* sub-frame 2 to 6: Interpolation between first
              and second set of lsf coefficients */

           pos = lp_length;
           for (i = 1; i < iLBCenc_inst->nsub; i++) {
               LSFinterpolate2a_enc(lp, lsfdeq, lsfdeq2,
                   lsf_weightTbl_30ms[i], length);
               memcpy(syntdenum + pos,lp,lp_length*sizeof(float));

               LSFinterpolate2a_enc(lp, lsf, lsf2,
                   lsf_weightTbl_30ms[i], length);
               bwexpand(weightdenum + pos, lp,
                   LPC_CHIRP_WEIGHTDENUM, lp_length);
               pos += lp_length;
           }
       }
       else {
           pos = 0;
           for (i = 0; i < iLBCenc_inst->nsub; i++) {
               LSFinterpolate2a_enc(lp, lsfdeqold, lsfdeq,
                   lsf_weightTbl_20ms[i], length);
               memcpy(syntdenum+pos,lp,lp_length*sizeof(float));
               LSFinterpolate2a_enc(lp, lsfold, lsf,
                   lsf_weightTbl_20ms[i], length);
               bwexpand(weightdenum+pos, lp,
                   LPC_CHIRP_WEIGHTDENUM, lp_length);
               pos += lp_length;
           }
       }

       /* update memory */

       if (iLBCenc_inst->mode==30) {
           memcpy(lsfold, lsf2, length*sizeof(float));
           memcpy(lsfdeqold, lsfdeq2, length*sizeof(float));
       }
       else {
           memcpy(lsfold, lsf, length*sizeof(float));
           memcpy(lsfdeqold, lsfdeq, length*sizeof(float));



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       }
   }

   /*----------------------------------------------------------------*
    *  lsf quantizer (subroutine to LPCencode)
    *---------------------------------------------------------------*/

   void SimplelsfQ(
       float *lsfdeq,    /* (o) dequantized lsf coefficients
                              (dimension FILTERORDER) */
       int *index,     /* (o) quantization index */
       float *lsf,      /* (i) the lsf coefficient vector to be
                              quantized (dimension FILTERORDER ) */
       int lpc_n     /* (i) number of lsf sets to quantize */
   ){
       /* Quantize first LSF with memoryless split VQ */
       SplitVQ(lsfdeq, index, lsf, lsfCbTbl, LSF_NSPLIT,
           dim_lsfCbTbl, size_lsfCbTbl);

       if (lpc_n==2) {
           /* Quantize second LSF with memoryless split VQ */
           SplitVQ(lsfdeq + LPC_FILTERORDER, index + LSF_NSPLIT,
               lsf + LPC_FILTERORDER, lsfCbTbl, LSF_NSPLIT,
               dim_lsfCbTbl, size_lsfCbTbl);
       }
   }

   /*----------------------------------------------------------------*
    *  lpc encoder
    *---------------------------------------------------------------*/

   void LPCencode(
       float *syntdenum, /* (i/o) synthesis filter coefficients
                                  before/after encoding */
       float *weightdenum, /* (i/o) weighting denumerator
                                  coefficients before/after
                                  encoding */
       int *lsf_index,     /* (o) lsf quantization index */
       float *data,    /* (i) lsf coefficients to quantize */
       iLBC_Enc_Inst_t *iLBCenc_inst
                           /* (i/o) the encoder state structure */
   ){
       float lsf[LPC_FILTERORDER * LPC_N_MAX];
       float lsfdeq[LPC_FILTERORDER * LPC_N_MAX];
       int change=0;

       SimpleAnalysis(lsf, data, iLBCenc_inst);
       SimplelsfQ(lsfdeq, lsf_index, lsf, iLBCenc_inst->lpc_n);



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       change=LSF_check(lsfdeq, LPC_FILTERORDER, iLBCenc_inst->lpc_n);
       SimpleInterpolateLSF(syntdenum, weightdenum,
           lsf, lsfdeq, iLBCenc_inst->lsfold,
           iLBCenc_inst->lsfdeqold, LPC_FILTERORDER, iLBCenc_inst);
   }

A.39.  lsf.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       lsf.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #ifndef __iLBC_LSF_H
   #define __iLBC_LSF_H

   void a2lsf(
       float *freq,/* (o) lsf coefficients */
       float *a    /* (i) lpc coefficients */
   );

   void lsf2a(
       float *a_coef,  /* (o) lpc coefficients */
       float *freq     /* (i) lsf coefficients */
   );

   #endif

A.40.  lsf.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       lsf.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include <string.h>



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   #include <math.h>

   #include "iLBC_define.h"

   /*----------------------------------------------------------------*
    *  conversion from lpc coefficients to lsf coefficients
    *---------------------------------------------------------------*/

   void a2lsf(
       float *freq,/* (o) lsf coefficients */
       float *a    /* (i) lpc coefficients */
   ){
       float steps[LSF_NUMBER_OF_STEPS] =
           {(float)0.00635, (float)0.003175, (float)0.0015875,
           (float)0.00079375};
       float step;
       int step_idx;
       int lsp_index;
       float p[LPC_HALFORDER];
       float q[LPC_HALFORDER];
       float p_pre[LPC_HALFORDER];
       float q_pre[LPC_HALFORDER];
       float old_p, old_q, *old;
       float *pq_coef;
       float omega, old_omega;
       int i;
       float hlp, hlp1, hlp2, hlp3, hlp4, hlp5;

       for (i=0; i<LPC_HALFORDER; i++) {
           p[i] = (float)-1.0 * (a[i + 1] + a[LPC_FILTERORDER - i]);
           q[i] = a[LPC_FILTERORDER - i] - a[i + 1];
       }

       p_pre[0] = (float)-1.0 - p[0];
       p_pre[1] = - p_pre[0] - p[1];
       p_pre[2] = - p_pre[1] - p[2];
       p_pre[3] = - p_pre[2] - p[3];
       p_pre[4] = - p_pre[3] - p[4];
       p_pre[4] = p_pre[4] / 2;

       q_pre[0] = (float)1.0 - q[0];
       q_pre[1] = q_pre[0] - q[1];
       q_pre[2] = q_pre[1] - q[2];
       q_pre[3] = q_pre[2] - q[3];
       q_pre[4] = q_pre[3] - q[4];
       q_pre[4] = q_pre[4] / 2;

       omega = 0.0;



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       old_omega = 0.0;

       old_p = FLOAT_MAX;
       old_q = FLOAT_MAX;

       /* Here we loop through lsp_index to find all the
          LPC_FILTERORDER roots for omega. */

       for (lsp_index = 0; lsp_index<LPC_FILTERORDER; lsp_index++) {

           /* Depending on lsp_index being even or odd, we
           alternatively solve the roots for the two LSP equations. */


           if ((lsp_index & 0x1) == 0) {
               pq_coef = p_pre;
               old = &old_p;
           } else {
               pq_coef = q_pre;
               old = &old_q;
           }

           /* Start with low resolution grid */

           for (step_idx = 0, step = steps[step_idx];
               step_idx < LSF_NUMBER_OF_STEPS;){

               /*  cos(10piw) + pq(0)cos(8piw) + pq(1)cos(6piw) +
               pq(2)cos(4piw) + pq(3)cod(2piw) + pq(4) */

               hlp = (float)cos(omega * TWO_PI);
               hlp1 = (float)2.0 * hlp + pq_coef[0];
               hlp2 = (float)2.0 * hlp * hlp1 - (float)1.0 +
                   pq_coef[1];
               hlp3 = (float)2.0 * hlp * hlp2 - hlp1 + pq_coef[2];
               hlp4 = (float)2.0 * hlp * hlp3 - hlp2 + pq_coef[3];
               hlp5 = hlp * hlp4 - hlp3 + pq_coef[4];


               if (((hlp5 * (*old)) <= 0.0) || (omega >= 0.5)){

                   if (step_idx == (LSF_NUMBER_OF_STEPS - 1)){

                       if (fabs(hlp5) >= fabs(*old)) {
                           freq[lsp_index] = omega - step;
                       } else {
                           freq[lsp_index] = omega;
                       }



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                       if ((*old) >= 0.0){
                           *old = (float)-1.0 * FLOAT_MAX;
                       } else {
                           *old = FLOAT_MAX;
                       }

                       omega = old_omega;
                       step_idx = 0;

                       step_idx = LSF_NUMBER_OF_STEPS;
                   } else {

                       if (step_idx == 0) {
                           old_omega = omega;
                       }

                       step_idx++;
                       omega -= steps[step_idx];

                       /* Go back one grid step */

                       step = steps[step_idx];
                   }
               } else {

               /* increment omega until they are of different sign,
               and we know there is at least one root between omega
               and old_omega */
                   *old = hlp5;
                   omega += step;
               }
           }
       }

       for (i = 0; i<LPC_FILTERORDER; i++) {
           freq[i] = freq[i] * TWO_PI;
       }
   }

   /*----------------------------------------------------------------*
    *  conversion from lsf coefficients to lpc coefficients
    *---------------------------------------------------------------*/

   void lsf2a(
       float *a_coef,  /* (o) lpc coefficients */
       float *freq     /* (i) lsf coefficients */



Andersen, et al.              Experimental                    [Page 175]

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   ){
       int i, j;
       float hlp;
       float p[LPC_HALFORDER], q[LPC_HALFORDER];
       float a[LPC_HALFORDER + 1], a1[LPC_HALFORDER],
           a2[LPC_HALFORDER];
       float b[LPC_HALFORDER + 1], b1[LPC_HALFORDER],
           b2[LPC_HALFORDER];

       for (i=0; i<LPC_FILTERORDER; i++) {
           freq[i] = freq[i] * PI2;
       }

       /* Check input for ill-conditioned cases.  This part is not
       found in the TIA standard.  It involves the following 2 IF
       blocks.  If "freq" is judged ill-conditioned, then we first
       modify freq[0] and freq[LPC_HALFORDER-1] (normally
       LPC_HALFORDER = 10 for LPC applications), then we adjust
       the other "freq" values slightly */


       if ((freq[0] <= 0.0) || (freq[LPC_FILTERORDER - 1] >= 0.5)){


           if (freq[0] <= 0.0) {
               freq[0] = (float)0.022;
           }


           if (freq[LPC_FILTERORDER - 1] >= 0.5) {
               freq[LPC_FILTERORDER - 1] = (float)0.499;
           }

           hlp = (freq[LPC_FILTERORDER - 1] - freq[0]) /
               (float) (LPC_FILTERORDER - 1);

           for (i=1; i<LPC_FILTERORDER; i++) {
               freq[i] = freq[i - 1] + hlp;
           }
       }

       memset(a1, 0, LPC_HALFORDER*sizeof(float));
       memset(a2, 0, LPC_HALFORDER*sizeof(float));
       memset(b1, 0, LPC_HALFORDER*sizeof(float));
       memset(b2, 0, LPC_HALFORDER*sizeof(float));
       memset(a, 0, (LPC_HALFORDER+1)*sizeof(float));
       memset(b, 0, (LPC_HALFORDER+1)*sizeof(float));




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       /* p[i] and q[i] compute cos(2*pi*omega_{2j}) and
       cos(2*pi*omega_{2j-1} in eqs. 4.2.2.2-1 and 4.2.2.2-2.
       Note that for this code p[i] specifies the coefficients
       used in .Q_A(z) while q[i] specifies the coefficients used
       in .P_A(z) */

       for (i=0; i<LPC_HALFORDER; i++) {
           p[i] = (float)cos(TWO_PI * freq[2 * i]);
           q[i] = (float)cos(TWO_PI * freq[2 * i + 1]);
       }

       a[0] = 0.25;
       b[0] = 0.25;

       for (i= 0; i<LPC_HALFORDER; i++) {
           a[i + 1] = a[i] - 2 * p[i] * a1[i] + a2[i];
           b[i + 1] = b[i] - 2 * q[i] * b1[i] + b2[i];
           a2[i] = a1[i];
           a1[i] = a[i];
           b2[i] = b1[i];
           b1[i] = b[i];
       }

       for (j=0; j<LPC_FILTERORDER; j++) {

           if (j == 0) {
               a[0] = 0.25;
               b[0] = -0.25;
           } else {
               a[0] = b[0] = 0.0;
           }

           for (i=0; i<LPC_HALFORDER; i++) {
               a[i + 1] = a[i] - 2 * p[i] * a1[i] + a2[i];
               b[i + 1] = b[i] - 2 * q[i] * b1[i] + b2[i];
               a2[i] = a1[i];
               a1[i] = a[i];
               b2[i] = b1[i];
               b1[i] = b[i];
           }

           a_coef[j + 1] = 2 * (a[LPC_HALFORDER] + b[LPC_HALFORDER]);
       }

       a_coef[0] = 1.0;
   }





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A.41.  packing.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       packing.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #ifndef __PACKING_H
   #define __PACKING_H

   void packsplit(
       int *index,                 /* (i) the value to split */
       int *firstpart,             /* (o) the value specified by most
                                          significant bits */
       int *rest,                  /* (o) the value specified by least
                                          significant bits */
       int bitno_firstpart,    /* (i) number of bits in most
                                          significant part */
       int bitno_total             /* (i) number of bits in full range
                                          of value */
   );

   void packcombine(
       int *index,                 /* (i/o) the msb value in the
                                          combined value out */
       int rest,                   /* (i) the lsb value */
       int bitno_rest              /* (i) the number of bits in the
                                          lsb part */
   );

   void dopack(
       unsigned char **bitstream,  /* (i/o) on entrance pointer to
                                          place in bitstream to pack
                                          new data, on exit pointer
                                          to place in bitstream to
                                          pack future data */
       int index,                  /* (i) the value to pack */
       int bitno,                  /* (i) the number of bits that the
                                          value will fit within */
       int *pos                /* (i/o) write position in the
                                          current byte */
   );



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   void unpack(
       unsigned char **bitstream,  /* (i/o) on entrance pointer to
                                          place in bitstream to
                                          unpack new data from, on
                                          exit pointer to place in
                                          bitstream to unpack future
                                          data from */
       int *index,                 /* (o) resulting value */
       int bitno,                  /* (i) number of bits used to
                                          represent the value */
       int *pos                /* (i/o) read position in the
                                          current byte */
   );

   #endif

A.42.  packing.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       packing.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include <math.h>
   #include <stdlib.h>

   #include "iLBC_define.h"
   #include "constants.h"
   #include "helpfun.h"
   #include "string.h"

   /*----------------------------------------------------------------*
    *  splitting an integer into first most significant bits and
    *  remaining least significant bits
    *---------------------------------------------------------------*/

   void packsplit(
       int *index,                 /* (i) the value to split */
       int *firstpart,             /* (o) the value specified by most
                                          significant bits */
       int *rest,                  /* (o) the value specified by least
                                          significant bits */



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       int bitno_firstpart,    /* (i) number of bits in most
                                          significant part */
       int bitno_total             /* (i) number of bits in full range
                                          of value */
   ){
       int bitno_rest = bitno_total-bitno_firstpart;

       *firstpart = *index>>(bitno_rest);
       *rest = *index-(*firstpart<<(bitno_rest));
   }

   /*----------------------------------------------------------------*
    *  combining a value corresponding to msb's with a value
    *  corresponding to lsb's
    *---------------------------------------------------------------*/

   void packcombine(
       int *index,                 /* (i/o) the msb value in the
                                          combined value out */
       int rest,                   /* (i) the lsb value */
       int bitno_rest              /* (i) the number of bits in the
                                          lsb part */
   ){
       *index = *index<<bitno_rest;
       *index += rest;
   }

   /*----------------------------------------------------------------*
    *  packing of bits into bitstream, i.e., vector of bytes
    *---------------------------------------------------------------*/

   void dopack(
       unsigned char **bitstream,  /* (i/o) on entrance pointer to
                                          place in bitstream to pack
                                          new data, on exit pointer
                                          to place in bitstream to
                                          pack future data */
       int index,                  /* (i) the value to pack */
       int bitno,                  /* (i) the number of bits that the
                                          value will fit within */
       int *pos                /* (i/o) write position in the
                                          current byte */
   ){
       int posLeft;

       /* Clear the bits before starting in a new byte */

       if ((*pos)==0) {



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           **bitstream=0;
       }

       while (bitno>0) {

           /* Jump to the next byte if end of this byte is reached*/

           if (*pos==8) {
               *pos=0;
               (*bitstream)++;
               **bitstream=0;
           }

           posLeft=8-(*pos);

           /* Insert index into the bitstream */

           if (bitno <= posLeft) {
               **bitstream |= (unsigned char)(index<<(posLeft-bitno));
               *pos+=bitno;
               bitno=0;
           } else {
               **bitstream |= (unsigned char)(index>>(bitno-posLeft));

               *pos=8;
               index-=((index>>(bitno-posLeft))<<(bitno-posLeft));

               bitno-=posLeft;
           }
       }
   }

   /*----------------------------------------------------------------*
    *  unpacking of bits from bitstream, i.e., vector of bytes
    *---------------------------------------------------------------*/

   void unpack(
       unsigned char **bitstream,  /* (i/o) on entrance pointer to
                                          place in bitstream to
                                          unpack new data from, on
                                          exit pointer to place in
                                          bitstream to unpack future
                                          data from */
       int *index,                 /* (o) resulting value */
       int bitno,                  /* (i) number of bits used to
                                          represent the value */
       int *pos                /* (i/o) read position in the
                                          current byte */



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   ){
       int BitsLeft;

       *index=0;

       while (bitno>0) {

           /* move forward in bitstream when the end of the
              byte is reached */

           if (*pos==8) {
               *pos=0;
               (*bitstream)++;
           }

           BitsLeft=8-(*pos);

           /* Extract bits to index */

           if (BitsLeft>=bitno) {
               *index+=((((**bitstream)<<(*pos)) & 0xFF)>>(8-bitno));

               *pos+=bitno;
               bitno=0;
           } else {

               if ((8-bitno)>0) {
                   *index+=((((**bitstream)<<(*pos)) & 0xFF)>>
                       (8-bitno));
                   *pos=8;
               } else {
                   *index+=(((int)(((**bitstream)<<(*pos)) & 0xFF))<<
                       (bitno-8));
                   *pos=8;
               }
               bitno-=BitsLeft;
           }
       }
   }

A.43.  StateConstructW.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       StateConstructW.h




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       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #ifndef __iLBC_STATECONSTRUCTW_H
   #define __iLBC_STATECONSTRUCTW_H

   void StateConstructW(
       int idxForMax,      /* (i) 6-bit index for the quantization of
                                  max amplitude */
       int *idxVec,    /* (i) vector of quantization indexes */
       float *syntDenum,   /* (i) synthesis filter denumerator */
       float *out,         /* (o) the decoded state vector */
       int len             /* (i) length of a state vector */
   );

   #endif

A.44.  StateConstructW.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       StateConstructW.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include <math.h>
   #include <string.h>

   #include "iLBC_define.h"
   #include "constants.h"
   #include "filter.h"

   /*----------------------------------------------------------------*
    *  decoding of the start state
    *---------------------------------------------------------------*/

   void StateConstructW(
       int idxForMax,      /* (i) 6-bit index for the quantization of
                                  max amplitude */
       int *idxVec,    /* (i) vector of quantization indexes */
       float *syntDenum,   /* (i) synthesis filter denumerator */



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       float *out,         /* (o) the decoded state vector */
       int len             /* (i) length of a state vector */
   ){
       float maxVal, tmpbuf[LPC_FILTERORDER+2*STATE_LEN], *tmp,
           numerator[LPC_FILTERORDER+1];
       float foutbuf[LPC_FILTERORDER+2*STATE_LEN], *fout;
       int k,tmpi;

       /* decoding of the maximum value */

       maxVal = state_frgqTbl[idxForMax];
       maxVal = (float)pow(10,maxVal)/(float)4.5;

       /* initialization of buffers and coefficients */

       memset(tmpbuf, 0, LPC_FILTERORDER*sizeof(float));
       memset(foutbuf, 0, LPC_FILTERORDER*sizeof(float));
       for (k=0; k<LPC_FILTERORDER; k++) {
           numerator[k]=syntDenum[LPC_FILTERORDER-k];
       }
       numerator[LPC_FILTERORDER]=syntDenum[0];
       tmp = &tmpbuf[LPC_FILTERORDER];
       fout = &foutbuf[LPC_FILTERORDER];

       /* decoding of the sample values */

       for (k=0; k<len; k++) {
           tmpi = len-1-k;
           /* maxVal = 1/scal */
           tmp[k] = maxVal*state_sq3Tbl[idxVec[tmpi]];
       }

       /* circular convolution with all-pass filter */

       memset(tmp+len, 0, len*sizeof(float));
       ZeroPoleFilter(tmp, numerator, syntDenum, 2*len,
           LPC_FILTERORDER, fout);
       for (k=0;k<len;k++) {
           out[k] = fout[len-1-k]+fout[2*len-1-k];
       }
   }










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A.45.  StateSearchW.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       StateSearchW.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #ifndef __iLBC_STATESEARCHW_H
   #define __iLBC_STATESEARCHW_H

   void AbsQuantW(
       iLBC_Enc_Inst_t *iLBCenc_inst,
                           /* (i) Encoder instance */
       float *in,          /* (i) vector to encode */
       float *syntDenum,   /* (i) denominator of synthesis filter */
       float *weightDenum, /* (i) denominator of weighting filter */
       int *out,           /* (o) vector of quantizer indexes */
       int len,        /* (i) length of vector to encode and
                                  vector of quantizer indexes */
       int state_first     /* (i) position of start state in the
                                  80 vec */
   );

   void StateSearchW(
       iLBC_Enc_Inst_t *iLBCenc_inst,
                           /* (i) Encoder instance */
       float *residual,/* (i) target residual vector */
       float *syntDenum,   /* (i) lpc synthesis filter */
       float *weightDenum, /* (i) weighting filter denumerator */
       int *idxForMax,     /* (o) quantizer index for maximum
                                  amplitude */
       int *idxVec,    /* (o) vector of quantization indexes */
       int len,        /* (i) length of all vectors */
       int state_first     /* (i) position of start state in the
                                  80 vec */
   );


   #endif






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A.46.  StateSearchW.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       StateSearchW.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include <math.h>
   #include <string.h>

   #include "iLBC_define.h"
   #include "constants.h"
   #include "filter.h"
   #include "helpfun.h"

   /*----------------------------------------------------------------*
    *  predictive noise shaping encoding of scaled start state
    *  (subroutine for StateSearchW)
    *---------------------------------------------------------------*/

   void AbsQuantW(
       iLBC_Enc_Inst_t *iLBCenc_inst,
                           /* (i) Encoder instance */
       float *in,          /* (i) vector to encode */
       float *syntDenum,   /* (i) denominator of synthesis filter */
       float *weightDenum, /* (i) denominator of weighting filter */
       int *out,           /* (o) vector of quantizer indexes */
       int len,        /* (i) length of vector to encode and
                                  vector of quantizer indexes */
       int state_first     /* (i) position of start state in the
                                  80 vec */
   ){
       float *syntOut;
       float syntOutBuf[LPC_FILTERORDER+STATE_SHORT_LEN_30MS];
       float toQ, xq;
       int n;
       int index;

       /* initialization of buffer for filtering */

       memset(syntOutBuf, 0, LPC_FILTERORDER*sizeof(float));




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       /* initialization of pointer for filtering */

       syntOut = &syntOutBuf[LPC_FILTERORDER];

       /* synthesis and weighting filters on input */

       if (state_first) {
           AllPoleFilter (in, weightDenum, SUBL, LPC_FILTERORDER);
       } else {
           AllPoleFilter (in, weightDenum,
               iLBCenc_inst->state_short_len-SUBL,
               LPC_FILTERORDER);
       }

       /* encoding loop */

       for (n=0; n<len; n++) {

           /* time update of filter coefficients */

           if ((state_first)&&(n==SUBL)){
               syntDenum += (LPC_FILTERORDER+1);
               weightDenum += (LPC_FILTERORDER+1);

               /* synthesis and weighting filters on input */
               AllPoleFilter (&in[n], weightDenum, len-n,
                   LPC_FILTERORDER);

           } else if ((state_first==0)&&
               (n==(iLBCenc_inst->state_short_len-SUBL))) {
               syntDenum += (LPC_FILTERORDER+1);
               weightDenum += (LPC_FILTERORDER+1);

               /* synthesis and weighting filters on input */
               AllPoleFilter (&in[n], weightDenum, len-n,
                   LPC_FILTERORDER);

           }

           /* prediction of synthesized and weighted input */

           syntOut[n] = 0.0;
           AllPoleFilter (&syntOut[n], weightDenum, 1,
               LPC_FILTERORDER);

           /* quantization */

           toQ = in[n]-syntOut[n];



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           sort_sq(&xq, &index, toQ, state_sq3Tbl, 8);
           out[n]=index;
           syntOut[n] = state_sq3Tbl[out[n]];

           /* update of the prediction filter */

           AllPoleFilter(&syntOut[n], weightDenum, 1,
               LPC_FILTERORDER);
       }
   }

   /*----------------------------------------------------------------*
    *  encoding of start state
    *---------------------------------------------------------------*/

   void StateSearchW(
       iLBC_Enc_Inst_t *iLBCenc_inst,
                           /* (i) Encoder instance */
       float *residual,/* (i) target residual vector */
       float *syntDenum,   /* (i) lpc synthesis filter */
       float *weightDenum, /* (i) weighting filter denumerator */
       int *idxForMax,     /* (o) quantizer index for maximum
                                  amplitude */
       int *idxVec,    /* (o) vector of quantization indexes */
       int len,        /* (i) length of all vectors */
       int state_first     /* (i) position of start state in the
                                  80 vec */
   ){
       float dtmp, maxVal;
       float tmpbuf[LPC_FILTERORDER+2*STATE_SHORT_LEN_30MS];
       float *tmp, numerator[1+LPC_FILTERORDER];
       float foutbuf[LPC_FILTERORDER+2*STATE_SHORT_LEN_30MS], *fout;
       int k;
       float qmax, scal;

       /* initialization of buffers and filter coefficients */

       memset(tmpbuf, 0, LPC_FILTERORDER*sizeof(float));
       memset(foutbuf, 0, LPC_FILTERORDER*sizeof(float));
       for (k=0; k<LPC_FILTERORDER; k++) {
           numerator[k]=syntDenum[LPC_FILTERORDER-k];
       }
       numerator[LPC_FILTERORDER]=syntDenum[0];
       tmp = &tmpbuf[LPC_FILTERORDER];
       fout = &foutbuf[LPC_FILTERORDER];

       /* circular convolution with the all-pass filter */




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       memcpy(tmp, residual, len*sizeof(float));
       memset(tmp+len, 0, len*sizeof(float));
       ZeroPoleFilter(tmp, numerator, syntDenum, 2*len,
           LPC_FILTERORDER, fout);
       for (k=0; k<len; k++) {
           fout[k] += fout[k+len];
       }

       /* identification of the maximum amplitude value */

       maxVal = fout[0];
       for (k=1; k<len; k++) {

           if (fout[k]*fout[k] > maxVal*maxVal){
               maxVal = fout[k];
           }
       }
       maxVal=(float)fabs(maxVal);

       /* encoding of the maximum amplitude value */

       if (maxVal < 10.0) {
           maxVal = 10.0;
       }
       maxVal = (float)log10(maxVal);
       sort_sq(&dtmp, idxForMax, maxVal, state_frgqTbl, 64);

       /* decoding of the maximum amplitude representation value,
          and corresponding scaling of start state */

       maxVal=state_frgqTbl[*idxForMax];
       qmax = (float)pow(10,maxVal);
       scal = (float)(4.5)/qmax;
       for (k=0; k<len; k++){
           fout[k] *= scal;
       }

       /* predictive noise shaping encoding of scaled start state */

       AbsQuantW(iLBCenc_inst, fout,syntDenum,
           weightDenum,idxVec, len, state_first);
   }









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A.47.  syntFilter.h

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       syntFilter.h

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #ifndef __iLBC_SYNTFILTER_H
   #define __iLBC_SYNTFILTER_H

   void syntFilter(
       float *Out,     /* (i/o) Signal to be filtered */
       float *a,       /* (i) LP parameters */
       int len,    /* (i) Length of signal */
       float *mem      /* (i/o) Filter state */
   );

   #endif

A.48.  syntFilter.c

   /******************************************************************

       iLBC Speech Coder ANSI-C Source Code

       syntFilter.c

       Copyright (C) The Internet Society (2004).
       All Rights Reserved.

   ******************************************************************/

   #include "iLBC_define.h"

   /*----------------------------------------------------------------*
    *  LP synthesis filter.
    *---------------------------------------------------------------*/

   void syntFilter(
       float *Out,     /* (i/o) Signal to be filtered */
       float *a,       /* (i) LP parameters */
       int len,    /* (i) Length of signal */



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       float *mem      /* (i/o) Filter state */
   ){
       int i, j;
       float *po, *pi, *pa, *pm;

       po=Out;

       /* Filter first part using memory from past */

       for (i=0; i<LPC_FILTERORDER; i++) {
           pi=&Out[i-1];
           pa=&a[1];
           pm=&mem[LPC_FILTERORDER-1];
           for (j=1; j<=i; j++) {
               *po-=(*pa++)*(*pi--);
           }
           for (j=i+1; j<LPC_FILTERORDER+1; j++) {
               *po-=(*pa++)*(*pm--);
           }
           po++;
       }

       /* Filter last part where the state is entirely in
          the output vector */

       for (i=LPC_FILTERORDER; i<len; i++) {
           pi=&Out[i-1];
           pa=&a[1];
           for (j=1; j<LPC_FILTERORDER+1; j++) {
               *po-=(*pa++)*(*pi--);
           }
           po++;
       }

       /* Update state vector */

       memcpy(mem, &Out[len-LPC_FILTERORDER],
           LPC_FILTERORDER*sizeof(float));
   }












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Authors' Addresses

   Soren Vang Andersen
   Department of Communication Technology
   Aalborg University
   Fredrik Bajers Vej 7A
   9200 Aalborg
   Denmark

   Phone:  ++45 9 6358627
   EMail:  sva@kom.auc.dk


   Alan Duric
   Telio AS
   Stoperigt. 2
   Oslo, N-0250
   Norway

   Phone:  +47 21673555
   EMail:  alan.duric@telio.no


   Henrik Astrom
   Global IP Sound AB
   Olandsgatan 42
   Stockholm, S-11663
   Sweden

   Phone:  +46 8 54553040
   EMail:  henrik.astrom@globalipsound.com


   Roar Hagen
   Global IP Sound AB
   Olandsgatan 42
   Stockholm, S-11663
   Sweden

   Phone:  +46 8 54553040
   EMail:  roar.hagen@globalipsound.com










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   W. Bastiaan Kleijn
   Global IP Sound AB
   Olandsgatan 42
   Stockholm, S-11663
   Sweden

   Phone:  +46 8 54553040
   EMail:  bastiaan.kleijn@globalipsound.com


   Jan Linden
   Global IP Sound Inc.
   900 Kearny Street, suite 500
   San Francisco, CA-94133
   USA

   Phone: +1 415 397 2555
   EMail: jan.linden@globalipsound.com

































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Full Copyright Statement

   Copyright (C) The Internet Society (2004).

   This document is subject to the rights, licenses and restrictions
   contained in BCP 78, and except as set forth therein, the authors
   retain all their rights.

   This document and the information contained herein are provided on an
   "AS IS" basis and THE CONTRIBUTOR, THE ORGANIZATION HE/SHE REPRESENTS
   OR IS SPONSORED BY (IF ANY), THE INTERNET SOCIETY AND THE INTERNET
   ENGINEERING TASK FORCE DISCLAIM ALL WARRANTIES, EXPRESS OR IMPLIED,
   INCLUDING BUT NOT LIMITED TO ANY WARRANTY THAT THE USE OF THE
   INFORMATION HEREIN WILL NOT INFRINGE ANY RIGHTS OR ANY IMPLIED
   WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.

Intellectual Property

   The IETF takes no position regarding the validity or scope of any
   Intellectual Property Rights or other rights that might be claimed to
   pertain to the implementation or use of the technology described in
   this document or the extent to which any license under such rights
   might or might not be available; nor does it represent that it has
   made any independent effort to identify any such rights.  Information
   on the IETF's procedures with respect to rights in IETF Documents can
   be found in BCP 78 and BCP 79.

   Copies of IPR disclosures made to the IETF Secretariat and any
   assurances of licenses to be made available, or the result of an
   attempt made to obtain a general license or permission for the use of
   such proprietary rights by implementers or users of this
   specification can be obtained from the IETF on-line IPR repository at
   http://www.ietf.org/ipr.

   The IETF invites any interested party to bring to its attention any
   copyrights, patents or patent applications, or other proprietary
   rights that may cover technology that may be required to implement
   this standard.  Please address the information to the IETF at ietf-
   ipr@ietf.org.


Acknowledgement

   Funding for the RFC Editor function is currently provided by the
   Internet Society.






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