[xiph-commits] r11762 - trunk/speex/doc
jm at svn.xiph.org
jm at svn.xiph.org
Sat Aug 12 06:14:47 PDT 2006
Author: jm
Date: 2006-08-12 06:14:33 -0700 (Sat, 12 Aug 2006)
New Revision: 11762
Added:
trunk/speex/doc/ref_shaping.eps
trunk/speex/doc/speex_abs.eps
trunk/speex/doc/speex_abs.odg
trunk/speex/doc/speex_analysis.eps
trunk/speex/doc/speex_analysis.odg
Modified:
trunk/speex/doc/manual.lyx
Log:
Updated the Speex/CELP part based on AES and LCA papers.
Modified: trunk/speex/doc/manual.lyx
===================================================================
--- trunk/speex/doc/manual.lyx 2006-08-12 06:13:47 UTC (rev 11761)
+++ trunk/speex/doc/manual.lyx 2006-08-12 13:14:33 UTC (rev 11762)
@@ -42,7 +42,7 @@
\begin_layout Standard
\newpage
-Copyright (c) 2002-2005 Jean-Marc Valin/Xiph.org Foundation
+Copyright (c) 2002-2006 Jean-Marc Valin/Xiph.org Foundation
\end_layout
\begin_layout Standard
@@ -93,8 +93,7 @@
There is already Vorbis that does general audio, but it is not really suitable
for speech.
Also, unlike many other speech codecs, Speex is not targeted at cell phones
- (not many open-source cell phones anyway :-) ) but rather at voice over
- IP (VoIP) and file-based compression.
+ but rather at voice over IP (VoIP) and file-based compression.
\end_layout
@@ -307,7 +306,20 @@
\end_inset
.
-
+ For a sampling rate of
+\begin_inset Formula $F_{s}$
+\end_inset
+
+ kHz, the highest frequency that can be represented is equal to
+\begin_inset Formula $F_{s}/2$
+\end_inset
+
+ kHz.
+ This is a consequence of Nyquist's sampling theorem (and
+\begin_inset Formula $F_{s}/2$
+\end_inset
+
+ is known as the Nyquist frequency).
\end_layout
\begin_layout Subsection*
@@ -2882,6 +2894,19 @@
status open
\begin_layout Standard
+\begin_inset ERT
+status collapsed
+
+\begin_layout Standard
+
+
+\backslash
+begin{center}
+\end_layout
+
+\end_inset
+
+
\begin_inset Tabular
<lyxtabular version="3" rows="16" columns="3">
<features>
@@ -3357,8 +3382,21 @@
\end_inset
+\begin_inset ERT
+status collapsed
+
+\begin_layout Standard
+
+
+\backslash
+end{center}
\end_layout
+\end_inset
+
+
+\end_layout
+
\begin_layout Caption
Ogg/Speex header packet
\begin_inset LatexCommand \label{cap:ogg_speex_header}
@@ -3428,10 +3466,38 @@
\begin_layout Standard
This section describes the basic ideas behind CELP.
- Note that it's still incomplete.
+ This is still a work in progress.
\end_layout
\begin_layout Subsection
+Source-Filter Model of Speech Prediction
+\end_layout
+
+\begin_layout Standard
+The source-filter model of speech production assumes that the vocal cords
+ are the source of spectrally flat sound (the excitation signal), and that
+ the vocal tract acts as a filter to spectrally shape the various sounds
+ of speech.
+ While still an approximation, the model is widely used in speech coding
+ because of its simplicity.Its use is also the reason why most speech codecs
+ (Speex included) perform badly on music signals.
+ The different phonemes can be distinguished by their excitation (source)
+ and spectral shape (filter).
+ Voiced sounds (e.g.
+ vowels) have an excitation signal that is periodic and that can be approximated
+ by an impulse train in the time domain or by regularly-spaced harmonics
+ in the frequency domain.
+ On the other hand, fricatives (such as the "s", "sh" and "f" sounds) have
+ an excitation signal that is similar to white Gaussian noise.
+ So called voice fricatives (such as "z" and "v") have excitation signal
+ composed of an harmonic part and a noisy part.
+\end_layout
+
+\begin_layout Standard
+The source-filter model is usually tied with the use of Linear prediction.
+\end_layout
+
+\begin_layout Subsection
Linear Prediction (LPC)
\begin_inset LatexCommand \index{linear prediction}
@@ -3500,47 +3566,24 @@
\end_layout
\begin_layout Standard
-The
-\begin_inset Formula $a_{i}$
+For an order
+\begin_inset Formula $N$
\end_inset
- filter coefficients are computed using the Levinson-Durbin
-\begin_inset LatexCommand \index{Levinson-Durbin}
-
+ filter, the filter coefficients
+\begin_inset Formula $a_{i}$
\end_inset
- algorithm, which starts from the auto-correlation
-\begin_inset LatexCommand \index{auto-correlation}
-
+ are found by solving the system
+\begin_inset Formula $N\times N$
\end_inset
-
-\begin_inset Formula $R(m)$
+ linear system
+\begin_inset Formula $\mathbf{Ra}=\mathbf{r}$
\end_inset
- of the signal
-\begin_inset Formula $x[n]$
-\end_inset
-
-.
-\end_layout
-
-\begin_layout Standard
+, where
\begin_inset Formula \[
-R(m)=\sum_{i=0}^{N-1}x[i]x[i-m]\]
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-For an order
-\begin_inset Formula $N$
-\end_inset
-
- filter, we have:
-\begin_inset Formula \[
\mathbf{R}=\left[\begin{array}{cccc}
R(0) & R(1) & \cdots & R(N-1)\\
R(1) & R(0) & \cdots & R(N-2)\\
@@ -3559,21 +3602,42 @@
\end_inset
+with
+\begin_inset Formula $R(m)$
+\end_inset
+, the auto-correlation
+\begin_inset LatexCommand \index{auto-correlation}
+
+\end_inset
+
+ of the signal
+\begin_inset Formula $x[n]$
+\end_inset
+
+, computed as:
\end_layout
\begin_layout Standard
-The filter coefficients
-\begin_inset Formula $a_{i}$
+\begin_inset Formula \[
+R(m)=\sum_{i=0}^{N-1}x[i]x[i-m]\]
+
\end_inset
- are found by solving the system
-\begin_inset Formula $\mathbf{Ra}=\mathbf{r}$
+
+\end_layout
+
+\begin_layout Standard
+Because
+\begin_inset Formula $\mathbf{R}$
\end_inset
-.
- What the Levinson-Durbin algorithm does here is making the solution to
- the problem
+ is toeplitz hermitian, the Levinson-Durbin
+\begin_inset LatexCommand \index{Levinson-Durbin}
+
+\end_inset
+
+ algorithm can be used, making the solution to the problem
\begin_inset Formula $\mathcal{O}\left(N^{2}\right)$
\end_inset
@@ -3581,11 +3645,7 @@
\begin_inset Formula $\mathcal{O}\left(N^{3}\right)$
\end_inset
- by exploiting the fact that matrix
-\begin_inset Formula $\mathbf{R}$
-\end_inset
-
- is toeplitz hermitian.
+.
Also, it can be proven that all the roots of
\begin_inset Formula $A(z)$
\end_inset
@@ -3607,102 +3667,6 @@
to filtering in the frequency domain, reducing sharp resonances.
\end_layout
-\begin_layout Standard
-The linear prediction model represents each speech sample as a linear combinatio
-n of past samples, plus an error signal called the excitation (or residual).
-\begin_inset Formula \[
-x[n]=\sum_{i=1}^{N}a_{i}x[n-i]+e[n]\]
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-In the
-\emph on
-z
-\emph default
--domain, this can be expressed as
-\end_layout
-
-\begin_layout Standard
-\begin_inset Formula \[
-x(z)=\frac{1}{A(z)}\: e(z)\]
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-where
-\begin_inset Formula $A(z)$
-\end_inset
-
- is defined as
-\end_layout
-
-\begin_layout Standard
-\begin_inset Formula \[
-A(z)=1-\sum_{i=1}^{N}a_{i}z^{-i}\]
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-We usually refer to
-\begin_inset Formula $A(z)$
-\end_inset
-
- as the analysis filter and
-\begin_inset Formula $1/A(z)$
-\end_inset
-
- as the synthesis filter.
- The whole process is called short-term prediction as it predicts the signal
-
-\begin_inset Formula $x[n]$
-\end_inset
-
- using a prediction using only the
-\begin_inset Formula $N$
-\end_inset
-
- past samples, where
-\begin_inset Formula $N$
-\end_inset
-
- is usually around 10.
-\end_layout
-
-\begin_layout Standard
-Because LPC coefficients have very little robustness to quantization, they
- are converted to Line Spectral Pair
-\begin_inset LatexCommand \index{line spectral pair}
-
-\end_inset
-
- (LSP) coefficients which have a much better behaviour with quantization,
- one of them being that it's easy to keep the filter stable.
-
-\end_layout
-
-\begin_layout Standard
-\begin_inset Note Comment
-status collapsed
-
-\begin_layout Standard
-Describe LSP's
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
\begin_layout Subsection
Pitch Prediction
\begin_inset LatexCommand \index{pitch}
@@ -3809,7 +3773,7 @@
\end_layout
\begin_layout Subsection
-Analysis-by-Synthesis and Error Weighting
+Noise Weighting
\begin_inset LatexCommand \index{error weighting}
\end_inset
@@ -3839,57 +3803,39 @@
vice versa
\emph default
.
- That's why instead of minimizing the simple quadratic error
-\begin_inset Formula \[
-E=\sum_{n}\left(x[n]-\overline{x}[n]\right)^{2}\]
-
+ In order to maximize speech quality, CELP codecs minimize the mean square
+ of the error (noise) in the perceptually weighted domain.
+ This means that a perceptual noise weighting filter
+\begin_inset Formula $W(z)$
\end_inset
-where
-\begin_inset Formula $\overline{x}[n]$
+ is applied to the error signal in the encoder.
+ In most CELP codecs,
+\begin_inset Formula $W(z)$
\end_inset
- is the encoder signal, we minimize the error for the perceptually weighted
- signal
-\begin_inset Formula \[
-X_{w}(z)=W(z)X(z)\]
-
+ is a pole-zero weighting filter derived from the linear prediction coefficients
+ (LPC), generally using bandwidth expansion.
+ Let the spectral envelope be represented by the synthesis filter
+\begin_inset Formula $1/A(z)$
\end_inset
-where
-\begin_inset Formula $W(z)$
-\end_inset
-
- is the weighting filter, usually of the form
-\end_layout
-
-\begin_layout Standard
+, CELP codecs typically derive the noise weighting filter as:
\begin_inset Formula \begin{equation}
-W(z)=\frac{A\left(\frac{z}{\gamma_{1}}\right)}{A\left(\frac{z}{\gamma_{2}}\right)}\label{eq:weighting_filter}\end{equation}
+W(z)=\frac{A(z/\gamma_{1})}{A(z/\gamma_{2})}\label{eq:gamma-weighting}\end{equation}
\end_inset
-
-\end_layout
-
-\begin_layout Standard
-with control parameters
-\begin_inset Formula $\gamma_{1}>\gamma_{2}$
+where
+\begin_inset Formula $\gamma_{1}=0.9$
\end_inset
-.
- If the noise is white in the perceptually weighted domain, then in the
- signal domain its spectral shape will be of the form
-\begin_inset Formula \[
-A_{noise}(z)=\frac{1}{W(z)}=\frac{A\left(\frac{z}{\gamma_{2}}\right)}{A\left(\frac{z}{\gamma_{1}}\right)}\]
-
+ and
+\begin_inset Formula $\gamma_{2}=0.6$
\end_inset
-
-\end_layout
-
-\begin_layout Standard
-If a filter
+ in the Speex reference implementation.
+ If a filter
\begin_inset Formula $A(z)$
\end_inset
@@ -3917,33 +3863,134 @@
\end_layout
\begin_layout Standard
-Analysis-by-synthesis refers to the fact that when trying to find the best
- pitch parameters (
-\begin_inset Formula $T$
+The weighting filter is applied to the error signal used to optimize the
+ codebook search through analysis-by-synthesis (AbS).
+ This results in a spectral shape of the noise that tends towards
+\begin_inset Formula $1/W(z)$
\end_inset
-,
-\begin_inset Formula $\beta$
+.
+ While the simplicity of the model has been an important reason for the
+ success of CELP, it remains that
+\begin_inset Formula $W(z)$
\end_inset
-) and innovation signal
-\begin_inset Formula $c[n]$
+ is a very rough approximation for the perceptually optimal noise weighting
+ function.
+ Fig.
+
+\begin_inset LatexCommand \ref{cap:Standard-noise-shaping}
+
\end_inset
-, we do not work by making the excitation
-\begin_inset Formula $e[n]$
+ illustrates the noise shaping that results from Eq.
+
+\begin_inset LatexCommand \ref{eq:gamma-weighting}
+
\end_inset
- as close as the original one (which would be simpler), but apply the synthesis
- (and weighting) filter and try making
-\begin_inset Formula $X_{w}(z)$
+.
+ Throughout this paper, we refer to
+\begin_inset Formula $W(z)$
\end_inset
- as close to the original as possible.
+ as the noise weighting filter and to
+\begin_inset Formula $1/W(z)$
+\end_inset
+
+ as the noise shaping filter (or curve).
\end_layout
\begin_layout Standard
+\begin_inset Float figure
+wide false
+sideways false
+status open
+\begin_layout Standard
+\begin_inset ERT
+status collapsed
+
+\begin_layout Standard
+
+
+\backslash
+begin{center}
+\end_layout
+
+\end_inset
+
+
+\begin_inset Graphics
+ filename ref_shaping.eps
+ width 45page%
+ keepAspectRatio
+
+\end_inset
+
+
+\begin_inset ERT
+status collapsed
+
+\begin_layout Standard
+
+
+\backslash
+end{center}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Caption
+Standard noise shaping in CELP.
+ Arbitrary y-axis offset.
+\begin_inset LatexCommand \label{cap:Standard-noise-shaping}
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Subsection
+Analysis-by-Synthesis
+\end_layout
+
+\begin_layout Standard
+One of the main principles behind CELP is called Analysis-by-Synthesis (AbS),
+ meaning that the encoding (analysis) is performed by perceptually optimising
+ the decoded (synthesis) signal in a closed loop.
+ In theory, the best CELP stream would be produced by trying all possible
+ bit combinations and selecting the one that produces the best-sounding
+ decoded signal.
+ This is obviously not possible in practice for two reasons: the required
+ complexity is beyond any currently available hardware and the
+\begin_inset Quotes eld
+\end_inset
+
+best sounding
+\begin_inset Quotes erd
+\end_inset
+
+ selection criterion implies a human listener.
+
+\end_layout
+
+\begin_layout Standard
+In order to achieve real-time encoding using limited computing resources,
+ the CELP optimisation is broken down into smaller, more manageable, sequential
+ searches using the perceptual weighting function described earlier.
+\end_layout
+
+\begin_layout Standard
+
\newpage
\end_layout
@@ -3994,7 +4041,7 @@
\end_layout
\begin_layout Subsection
-LPC Analysis
+Whole-Frame Analysis
\begin_inset LatexCommand \index{linear prediction}
\end_inset
@@ -4003,97 +4050,221 @@
\end_layout
\begin_layout Standard
-An LPC analysis is first performed on a (asymetric Hamming) window that
- spans all of the current frame and half a frame in advance.
- The LPC coefficients are then converted to Line Spectral Pair
+In narrowband, Speex frames are 20 ms long (160 samples) and are subdivided
+ in 4 sub-frames of 5 ms each (40 samples).
+ For most narrowband bit-rates (8 kbps and above), the only parameters encoded
+ at the frame level are the Line Spectral Pairs (LSP) and a global excitation
+ gain
+\begin_inset Formula $g_{frame}$
+\end_inset
+
+, as shown in Fig.
+
+\begin_inset LatexCommand \ref{cap:Frame-open-loop-analysis}
+
+\end_inset
+
+.
+ All other parameters are encoded at the sub-frame level.
+\end_layout
+
+\begin_layout Standard
+Linear prediction analysis is performed once per frame using an asymmetric
+ Hamming window centered on the fourth sub-frame.
+ Because linear prediction coefficients (LPC) are not robust to quantization,
+ they are first are converted to line spectral pairs (LSP)
\begin_inset LatexCommand \index{line spectral pair}
\end_inset
- (LSP), a representation that is more robust to quantization.
+.
The LSP's are considered to be associated to the
\begin_inset Formula $4^{th}$
\end_inset
sub-frames and the LSP's associated to the first 3 sub-frames are linearly
- interpolated using the current and previous LSP's.
+ interpolated using the current and previous LSP coefficients.
+ The LSP coefficients and converted back to the LPC filter
+\begin_inset Formula $\hat{A}(z)$
+\end_inset
+
+.
+ The non-quantized interpolated filter is denoted
+\begin_inset Formula $A(z)$
+\end_inset
+
+ and can be used for the weighting filter
+\begin_inset Formula $W(z)$
+\end_inset
+
+ because it does not need to be available to the decoder.
+
\end_layout
\begin_layout Standard
-The LSP's are encoded using 30 bits for higher quality modes and 18 bits
- for lower quality, through the use of a multi-stage split-vector quantizer.
- For the lower quality modes, the 10 coefficients are first quantized with
- 6 bits and the error is then divided in two 5-coefficient sub-vectors.
- Each of them is quantized with 6 bits, for a total of 18 bits.
- For the higher quality modes, the remaining error on both sub-vectors is
- further quantized with 6 bits each, for a total of 30 bits.
+To make Speex more robust to packet loss, no prediction is applied on the
+ LSP coefficients prior to quantization.
+ The LSPs are encoded using vector quantizatin (VQ) with 30 bits for higher
+ quality modes and 18 bits for lower quality.
\end_layout
\begin_layout Standard
-The perceptual weighting filter
-\begin_inset Formula $W(z)$
-\end_inset
+\begin_inset Float figure
+wide false
+sideways false
+status open
- used by Speex is derived from the LPC filter
-\begin_inset Formula $A(z)$
+\begin_layout Standard
+\begin_inset ERT
+status collapsed
+
+\begin_layout Standard
+
+
+\backslash
+begin{center}
+\end_layout
+
\end_inset
- and corresponds to the one described by eq.
-
-\begin_inset LatexCommand \ref{eq:weighting_filter}
+\begin_inset Graphics
+ filename speex_analysis.eps
+ width 30page%
+
\end_inset
- with
-\begin_inset Formula $\gamma_{1}=0.9$
+
+\begin_inset ERT
+status collapsed
+
+\begin_layout Standard
+
+
+\backslash
+end{center}
+\end_layout
+
\end_inset
- and
-\begin_inset Formula $\gamma_{2}=0.6$
+
+\end_layout
+
+\begin_layout Caption
+Frame open-loop analysis
+\begin_inset LatexCommand \label{cap:Frame-open-loop-analysis}
+
\end_inset
-.
- We can use the unquantized
-\begin_inset Formula $A(z)$
+
+\end_layout
+
\end_inset
- filter since the weighting filter is only used in the encoder.
+
\end_layout
\begin_layout Subsection
-Pitch Prediction (adaptive codebook)
-\begin_inset LatexCommand \index{pitch}
+Sub-Frame Analysis-by-Synthesis
+\end_layout
+\begin_layout Standard
+\begin_inset Float figure
+wide false
+sideways false
+status open
+
+\begin_layout Standard
+\begin_inset ERT
+status collapsed
+
+\begin_layout Standard
+
+
+\backslash
+begin{center}
+\end_layout
+
\end_inset
+\begin_inset Graphics
+ filename speex_abs.eps
+ lyxscale 75
+ width 40page%
+
+\end_inset
+
+
+\begin_inset ERT
+status collapsed
+
+\begin_layout Standard
+
+
+\backslash
+end{center}
\end_layout
-\begin_layout Standard
-Speex uses a 3-tap prediction for pitch.
- That is, the pitch prediction signal
-\begin_inset Formula $p[n]$
\end_inset
- is obtained by the past of the excitation by:
-\begin_inset Formula \[
-p[n]=\beta_{0}e[n-T-1]+\beta_{1}e[n-T]+\beta_{2}e[n-T+1]\]
+\end_layout
+
+\begin_layout Caption
+Analysis-by-synthesis closed-loop optimization on a sub-frame.
+\begin_inset LatexCommand \label{cap:Sub-frame-AbS}
+
\end_inset
\end_layout
+\end_inset
+
+
+\end_layout
+
\begin_layout Standard
+The analysis-by-synthesis (AbS) encoder loop is described in Fig.
+
+\begin_inset LatexCommand \ref{cap:Sub-frame-AbS}
+
+\end_inset
+
+.
+ There are three main aspects where Speex significantly differs from most
+ other CELP codecs.
+ First, while most recent CELP codecs make use of fractional pitch estimation
+ with a single gain, Speex uses an integer to encode the pitch period, but
+ uses a 3-tap predictor (3 gains).
+ The adaptive codebook contribution
+\begin_inset Formula $e_{a}[n]$
+\end_inset
+
+ can thus be expressed as:
+\begin_inset Formula \begin{equation}
+e_{a}[n]=g_{0}e[n-T-1]+g_{1}e[n-T]+g_{2}e[n-T+1]\label{eq:adaptive-3tap}\end{equation}
+
+\end_inset
+
where
-\begin_inset Formula $T$
+\begin_inset Formula $g_{0}$
\end_inset
- is the pitch period and the
-\begin_inset Formula $\beta_{i}$
+,
+\begin_inset Formula $g_{1}$
\end_inset
- are the prediction (filter) taps.
+ and
+\begin_inset Formula $g_{2}$
+\end_inset
+
+ are the jointly quantized pitch gains and
+\begin_inset Formula $e[n]$
+\end_inset
+
+ is the codec excitation memory.
It is worth noting that when the pitch is smaller than the sub-frame size,
we repeat the excitation at a period
\begin_inset Formula $T$
@@ -4101,7 +4272,7 @@
.
For example, when
-\begin_inset Formula $n-T+1$
+\begin_inset Formula $n-T+1\geq0$
\end_inset
, we use
@@ -4109,8 +4280,6 @@
\end_inset
instead.
- The period and quantized gains are determined in closed loop (analysis-by-synth
-esis).
In most modes, the pitch period is encoded with 7 bits in the
\begin_inset Formula $\left[17,144\right]$
\end_inset
@@ -4119,23 +4288,47 @@
\begin_inset Formula $\beta_{i}$
\end_inset
- coefficients are vector-quantized using 7 bits (15 kbps narrowband and
- above) at higher bit-rates and 5 bits at lower bit-rates (11 kbps narrowband
+ coefficients are vector-quantized using 7 bits at higher bit-rates (15
+ kbps narrowband and above) and 5 bits at lower bit-rates (11 kbps narrowband
and below).
\end_layout
-\begin_layout Subsection
-Innovation Codebook
+\begin_layout Standard
+Many current CELP codecs use moving average (MA) prediction to encode the
+ fixed codebook gain.
+ This provides slightly better coding at the expense of introducing a dependency
+ on previously encoded frames.
+ A second difference is that Speex encodes the fixed codebook gain as the
+ product of the global excitation gain
+\begin_inset Formula $g_{frame}$
+\end_inset
+
+ with a sub-frame gain corrections
+\begin_inset Formula $g_{subf}$
+\end_inset
+
+.
+ This increases robustness to packet loss by eliminating the inter-frame
+ dependency.
+ The sub-frame gain correction is encoded before the fixed codebook is searched
+ (not closed-loop optimized) and uses between 0 and 3 bits per sub-frame,
+ depending on the bit-rate.
\end_layout
\begin_layout Standard
-In Speex, the innovation signal is quantized using sub-vector shape-only
- vector quantization (VQ).
- That means that the innovation signal is divided in sub-vectors (of size
- 5 to 20) and quantized using a codebook that represents both the shape
- and the gain at the same time.
- This saves many bits that would otherwise be allocated for a separate gain
- at the price of a slight increase in complexity.
+The third difference is that Speex uses sub-vector quantization of the innovatio
+n (fixed codebook) signal instead of an algebraic codebook.
+ Each sub-frame is divided into sub-vectors of lengths ranging between 5
+ and 20 samples.
+ Each sub-vector is chosen from a bitrate-dependent codebook and all sub-vectors
+ are concatenated to form a sub-frame.
+ As an example, the 3.95 kbps mode uses a sub-vector size of 20 samples with
+ 32 entries in the codebook (5 bits).
+ This means that the innovation is encoded with 10 bits per sub-frame, or
+ 2000 bps.
+ On the other hand, the 18.2 kbps mode uses a sub-vector size of 5 samples
+ with 256 entries in the codebook (8 bits), so the innovation uses 64 bits
+ per sub-frame, or 12800 bps.
\end_layout
@@ -6157,6 +6350,14 @@
\end_layout
\begin_layout Standard
+
+\series bold
+This section was only valid for version 1.1.12 and earlier.
+ It does not apply to version 1.2-beta1 (and later), for which the new perceptual
+ enhancement is not yet documented.
+\end_layout
+
+\begin_layout Standard
This part of the codec only applies to the decoder and can even be changed
without affecting inter-operability.
For that reason, the implementation provided and described here should
@@ -6166,7 +6367,7 @@
\begin_inset Formula $S(z)=1/A(z)$
\end_inset
- is replaced by an enhanced filter
+ is replaced by an enhanced filter:
\begin_inset Formula \[
S'(z)=\frac{A\left(z/a_{2}\right)A\left(z/a_{3}\right)}{A\left(z\right)A\left(z/a_{1}\right)}\]
@@ -6894,7 +7095,7 @@
\end_inset
).
- This license is the most permissive of the open-source licenses.
+ This license is one of the most permissive open-source licenses.
\end_layout
\begin_layout Subsection*
@@ -7098,7 +7299,7 @@
\begin_layout Standard
I guess it all depends on the bit-rate used.
Though no formal testing has yet been performed, I'd say is correctly at
- 8 kbps and above (15 kbps for version < 1.1.1).
+ 8 kbps and above.
Also, make sure you don't use the lowest complexity (see SPEEX_SET_COMPLEXITY
or --comp option), as it causes significant noise.
\end_layout
@@ -7118,14 +7319,15 @@
\end_layout
\begin_layout Standard
-Currently (2005/05/11), I'm doing my
+I have completed my
\emph on
Ph.D.
\emph default
- at the University of Sherbrooke in mobile robotics.
+ at the University of Sherbrooke in 2005 in mobile robotics.
Although I did my master with the Sherbrooke speech coding group (in speech
- enhancement, not coding), I am not associated with them anymore.
+ enhancement, not coding), was no longer associated with them when developing
+ Speex.
It should
\series bold
not
Added: trunk/speex/doc/ref_shaping.eps
===================================================================
--- trunk/speex/doc/ref_shaping.eps 2006-08-12 06:13:47 UTC (rev 11761)
+++ trunk/speex/doc/ref_shaping.eps 2006-08-12 13:14:33 UTC (rev 11762)
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Property changes on: trunk/speex/doc/speex_abs.odg
___________________________________________________________________
Name: svn:mime-type
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+%%EOF
Added: trunk/speex/doc/speex_analysis.odg
===================================================================
(Binary files differ)
Property changes on: trunk/speex/doc/speex_analysis.odg
___________________________________________________________________
Name: svn:mime-type
+ application/octet-stream
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