Algebraic Codes for Data Transmission

by Richard E. Blahut

• ISBN13: 9780521556590
• ISBN10: 0521556597
• Format: Paperback
• Copyright: 2012-01-26
• Publisher: Cambridge University Press

Summary

The need to transmit and store massive amounts of data reliably and without error is a vital part of modern communications systems. Error-correcting codes play a fundamental role in minimizing data corruption caused by defects such as noise, interference, crosstalk and packet loss. This book provides an accessible introduction to the basic elements of algebraic codes, and discusses their use in a variety of applications. The author describes a range of important coding techniques, including Reed-Solomon codes, BCH codes, trellis codes, and turbocodes. Throughout the book, mathematical theory is illustrated by reference to many practical examples. The book is aimed at graduate students of electrical and computer engineering, and at practising engineers whose work involves communications or signal processing.

Table of Contents

Introduction

Introduction to algebra

Linear block codes

The arithmetic of Galois fields

Cyclic codes

Codes based on the Fourier transform

Algorithms based on the Fourier transform

Implementation

Convolutional codes

Beyond BCH codes

Codes and algorithms based on graphs

Performance of error-control codes

Codes and algorithms for majority decoding

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