Near-Capacity Variable-Length Coding: Regular and EXIT-Chart-Aided Irregular Designs

Part I

Regular Concatenated Codes and Their Design

List of Symbols in Part I

General notation

• The superscript ^* is used to indicate complex conjugation. Therefore, a^* represents the complex conjugate of the variable a.
• The superscript ^T is used to denote the matrix transpose operation. Therefore, a^T represents the transpose of the matrix a.
• The superscript ^H is used to indicate the complex conjugate transpose operation. Therefore, a^H represents the complex conjugate transpose of the matrix a.
• The notation represents the estimate of x.

Special symbols

A	A random discrete source.
	A source alphabet.
A	The area under an EXIT curve.
	The area under the inverse curve of an EXIT function.
Ac	The a priori Logarithmic Likelihood Ratios (LLRs) of the encoded bits.
Au	The a priori LLRs of the information bits.
Ak	The forward recursion metric of a MAP decoder in the log domain.
ai	The legitimate symbols of a source alphabet.
Bk	The backward recursion metric of a MAP decoder in the log domain.
bmin	The overall minimum block distance of a VLC.
C	A VLC.
C	The encoded output sequence of a trellis encoder.
Ck	The encoded output symbol of a trellis encoder.
CUI	The channel ...