Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes

By: Shu Lin, Tadao Kasami, Toru Fujiwara

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Hardcover | 30 April 1998

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308 Pages

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As the demand for data reliability increases, coding for error control becomes increasingly important in data transmission systems and has become an integral part of almost all data communication system designs. In recent years, various trellis-based soft-decoding algorithms for linear block codes have been devised. New ideas developed in the study of trellis structure of block codes can be used for improving decoding and analyzing the trellis complexity of convolutional codes. These recent developments provide practicing communication engineers with more choices when designing error control systems.
Trellises and Trellis-based Decoding Algorithms for Linear Block Codes combines trellises and trellis-based decoding algorithms for linear codes together in a simple and unified form. The approach is to explain the material in an easily understood manner with minimal mathematical rigor.
Trellises and Trellis-based Decoding Algorithms for Linear Block Codes is intended for practicing communication engineers who want to have a fast grasp and understanding of the subject. Only material considered essential and useful for practical applications is included. This book can also be used as a text for advanced courses on the subject.

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Published: 11th October 2012

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Preface
Introduction	p. 1
Linear Block Codes	p. 5
Trellis Representation of Linear Block Codes	p. 23
State Labeling, Trellis Construction Procedures and Trellis Symmetry	p. 43
Trellis Complexity	p. 59
Trellis Sectionalization	p. 71
Parallel Decomposition and Low-Weight Subtrellises	p. 93
Methods for Constructing Codes and Trellises	p. 115
Trellises for Convolutional Codes and their Related Linear Block Codes	p. 149
The Viterbi and Differential Trellis Decoding Algorithms	p. 175
A Recursive Maximum Likelihood Decoding	p. 195
An Iterative Decoding Algorithm for Linear Block Codes Based on a Low-Weight Trellis Search	p. 221
The Map and Related Decoding Algorithms	p. 243
Appendix	p. 257
A Trellis Construction Procedure	p. 257
A Brief Review of the Trellis Oriented Generator Matrix for a Binary Linear Block Code	p. 258
State Labeling by the State Defining Information Set and Composite Branch Label	p. 260
Trellis Construction	p. 263
An Efficient Trellis Construction Procedure	p. 269
References	p. 273
Index	p. 285
Table of Contents provided by Blackwell. All Rights Reserved.

Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes

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