Modern coding theory / Tom Richardson, Rudiger, Urbanke

Contents

1. Introduction
1.1 Why you should read this Book
1.2 Communications problems
1.3 Coding: Trial and Error
1.4 Codes and Ensembles
1.5 MAP and ML Decoding and App Processing

2. Factor Graphs
2.1 Distributive Law
2.2 Graphical Representation of Factorization
2.3 Recursive Determination of Marginals
2.4 Marginalization Via Message Passing
2.5 Decoding via Message passing
etc

3. Binary Erasure Channel
3.1 Channel Model
3.2 Transmission via Linear Codes
3.3 Tanner Graphs
3.4 Low-Density Parity-check Codes
3.5 Message-Passing Decoder
etc

4. Binary Memory-less Symmetric Channels
4.1 Basic Definitions and Examples
4.2 Message-passing Decoder
4.3 Two Basic Simplifications
4.4 Tree Channel and Convergence to Tree Channel
4.5 Density Evolution
etc

5. General Channels
5.1 Fading Channels
5.2 Z Channels
5.3 Channels with Memory
5.4 Coding for Higher Spectral Efficiency
5.5 Multiple Access Channel

6. Turbo Codes
6.1 Convolutional Codes
6.2 Structure and Encoding
6.3 Decoding
6.4 Basic Simplifications
6.5 Density Evolution
etc.

7. General Ensembles
7.1 Multi-edge-Type LDPC Code Ensembles
72 Multi-edge-Type LDPC Codes: Analysis
7.3 Structured Codes
7.4 Non-Binary Codes
7.5 Low-Density Generator Codes and rateless Codes
etc.