📄 ilbc.txt
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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
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