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Error Control Systems for Digital Communication and Storage

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Stephen B. Wicker

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Prentice Hall

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Summary

This introductory text on error control coding focuses on key implementation issues and performance analysis with applications valuable to both mathematicians and engineers.

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Features

features a complete discussion of punctured convolutional codes.
includes full-chapter coverage of performance analysis of block codes, including code performance over the fading channel (i.e., cellular mobile phone systems).
examines system implementation issues for the Viterbi Decoder and the various decoders for Reed-Solomon and BCH codes.
devotes two full chapters to the theory of finite fields.
features the most current research results on error control for channels with feedback.
includes an entire chapter on trellis coded modulation.
includes historical background and emphasizes practical, up-to-date applications (i.e., the space program) for all key areas in the text.

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Table of Contents

1. Error Control Coding for Digital Communication Systems.
2. Galois Fields.
3. Polynomials over Galois Fields.
4. Linear Block Codes.
5. Cyclic Codes.
6. Hadamard, Quadratic Residue, and Golay Codes.
7. Reed-Muller Codes
8. BCH and Reed-Solomon Codes.
9. Decoding BCH and Reed-Solomon Codes.
10. The Analysis of the Performance of Block Codes.
11. Convolutional Codes.
12. The Viterbi Decoding Algorithm.
13. The Sequential Decoding Algorithms.
14. Trellis Coded Modulation.
15. Error Control for Channels with Feedback.
16. Applications.
Appendices:
A. Binary Primitive Polynomials.
B. Add-on Tables and Vector Space Representations for GF(8) Through GF(1024).
C. Cyclotronic Cosets Modulo 2m-1.
D. Minimal Polynomials for Elements in GF (2m).
E. Generator Polynomials of Binary BCH Codes of Lengths Through 511.
Bibliography.

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