[BoW] r8 - trunk/audio_coding/predicitive_coding.tex

[attila]

Author: attila
Date: Sun Sep 28 15:17:22 2008
New Revision: 8

Log:
Cosmetic: reindent according to coding guidelines


Modified:
   trunk/audio_coding/predicitive_coding.tex

Modified: trunk/audio_coding/predicitive_coding.tex
==============================================================================
--- trunk/audio_coding/predicitive_coding.tex	(original)
+++ trunk/audio_coding/predicitive_coding.tex	Sun Sep 28 15:17:22 2008
@@ -1,28 +1,28 @@
 \section{Predictive Coding}
 
-Prediction is wide-employed method for effective data compression.
-One can think about prediction as a FIR filter
-$y_n = x_n - f(x_{n-1}, x_{n-2}, \ddots)$ where $x_n$ is $n$-th input sample
-and $y_n$ is $n$-th output sample and $f(x)$ is a prediction function.
-Depending on prediction function type there is  linear prediction (i.e.
-$y_n = x_n - \sum _{i=0} ^N a_i x_{n-i-1}$) and nonlinear prediction.
-Prediction is called fixed when prediction function does not employ any
-internal state and adaptive prediction when output depends on some internal
-state (e.g. linear prediction coefficients are adjusted depending on
-previous outputs).
+ Prediction is wide-employed method for effective data compression.
+ One can think about prediction as a FIR filter
+ $y_n = x_n - f(x_{n-1}, x_{n-2}, \ddots)$ where $x_n$ is $n$-th input sample
+ and $y_n$ is $n$-th output sample and $f(x)$ is a prediction function.
+ Depending on prediction function type there is  linear prediction (i.e.
+ $y_n = x_n - \sum _{i=0} ^N a_i x_{n-i-1}$) and nonlinear prediction.
+ Prediction is called fixed when prediction function does not employ any
+ internal state and adaptive prediction when output depends on some internal
+ state (e.g. linear prediction coefficients are adjusted depending on
+ previous outputs).
 
-Linear prediction is commonly used in audio compression techniques
---- (A)DPCM codecs, speech coding, lossless coding.
+ Linear prediction is commonly used in audio compression techniques
+ --- (A)DPCM codecs, speech coding, lossless coding.
 
-\subsection{Temporal Correlation}
+ \subsection{Temporal Correlation}
 
-Temporal correlation means correlating samples in time domain, i.e. predicting
-next waveform sample and coding the difference.
+  Temporal correlation means correlating samples in time domain, i.e. predicting
+  next waveform sample and coding the difference.
 
-\subsubsection{DPCM}
-Differential PCM is without a doubt one of the oldest audio compression
-techniques employed due its very low computation cost.
-Typical compression ratio is 2.
+ \subsubsection{DPCM}
+  Differential PCM is without a doubt one of the oldest audio compression
+  techniques employed due its very low computation cost.
+  Typical compression ratio is 2.
 
 \begin{verbatim}
 while there are samples left to decode
@@ -31,11 +31,11 @@ while there are samples left to decode
     output predictor as a new sample
 \end{verbatim}
 
-\subsubsection{ADPCM}
+ \subsubsection{ADPCM}
 
-Most popular is IMA ADPCM compression scheme, which is used as a basis for
-many proprietary variations that are usually used in games and  several
-widespread ADPCM codecs such as Apple IMA ADPCM and Microsoft IMA ADPCM.
+  Most popular is IMA ADPCM compression scheme, which is used as a basis for
+  many proprietary variations that are usually used in games and  several
+  widespread ADPCM codecs such as Apple IMA ADPCM and Microsoft IMA ADPCM.
 
 \begin{verbatim}
 while there are samples left to decode
@@ -45,61 +45,61 @@ while there are samples left to decode
     adjust step based on diff
 \end{verbatim}
 
-\begin{table}
-\caption{Known (A)DPCM codecs comparison}
-\label{dpcmcmp}
-\begin{tabular}{|l|l|l|r|r|}
-\hline
-{\bf Name} &
-{\bf Employed at} &
-{\bf Difference type} &
-{\bf Source} &
-{\bf Compression rate}
-\\ \hline
+  \begin{table}
+   \caption{Known (A)DPCM codecs comparison}
+   \label{dpcmcmp}
+   \begin{tabular}{|l|l|l|r|r|}
+    \hline
+    {\bf Name} &
+    {\bf Employed at} &
+    {\bf Difference type} &
+    {\bf Source} &
+    {\bf Compression rate}
+    \\ \hline
 
-Id RoQ DPCM &
-Id RoQ &
-quadratic &
-16-bit &
-2:1
-\\ \hline
+    Id RoQ DPCM &
+    Id RoQ &
+    quadratic &
+    16-bit &
+    2:1
+    \\ \hline
 
-IMA ADPCM &
-WAV, AVI, game formats &
- &
-8-bit, 16-bit &
-4:1
-\\ \hline
+    IMA ADPCM &
+    WAV, AVI, game formats &
+     &
+    8-bit, 16-bit &
+    4:1
+    \\ \hline
 
-Interplay DPCM &
-Interplay MVE &
-custom &
-16-bit &
-2:1
-\\ \hline
+    Interplay DPCM &
+    Interplay MVE &
+    custom &
+    16-bit &
+    2:1
+    \\ \hline
 
-MS ADPCM &
-AVI, WAV &
- &
-16-bit &
-4:1
-\\ \hline
+    MS ADPCM &
+    AVI, WAV &
+     &
+    16-bit &
+    4:1
+    \\ \hline
 
-Sierra DPCM &
-Sierra .SOL, .VMD &
-logarithmic &
-8-bit, 16-bit &
-2:1
-\\ \hline
+    Sierra DPCM &
+    Sierra .SOL, .VMD &
+    logarithmic &
+    8-bit, 16-bit &
+    2:1
+    \\ \hline
 
-Xan DPCM &
-AVI &
-logarithmic &
-16-bit &
-2:1
-\\ \hline
-\end{tabular}
-\end{table}
+    Xan DPCM &
+    AVI &
+    logarithmic &
+    16-bit &
+    2:1
+    \\ \hline
+   \end{tabular}
+  \end{table}
 
-\subsection{Spatial Correlation}
+ \subsection{Spatial Correlation}