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Introduction to Error-correcting Codes Michael Purser

Introduction to Error-correcting Codes By Michael Purser

Introduction to Error-correcting Codes by Michael Purser


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Summary

Covers the fundamentals of error-correcting codes for the non-specialist user, from general concepts through to common error-correcting codes applied to bit transmission in packet switched networks and personal cellular systems. It includes sections on linear blockades, BCH codes and cyclic codes.

Introduction to Error-correcting Codes Summary

Introduction to Error-correcting Codes by Michael Purser

This title covers the fundamentals of error-correcting codes for the non-specialist user, from general concepts through to the most common error-correcting codes applied to bit transmission in packet switched networks and personal cellular systems. It also includes sections on linear blockades, BCH codes and cyclic codes. The work is intended for professionals and students needing a thorough tutorial in error correction.

Table of Contents

Part 1 Introduction: bit strings and codes; codes and error correction; erasures and soft decision decoding; hamming distance and sphere-packing; Shannon's theorem. Part 2 Linear codes: matrix representation; the standard array; the null-matrix or parity-check matrix; the syndrome; the columns of the null matrix; perfect codes; further bounds on linear codes; the Varsharmov-Gilbert bound; the Plorkin bound; bounds in practice; nonbinary linear codes; nonbinary codes with characteristic 2. Part 3 Cyclic codes: the generating polynomial; systematic cyclic codes; the roots of g(x) and the null-matrix; error detection with cycle codes; weight distribution; shortened cyclic codes and feedback shift registers; error correction with cyclic codes; nonbinary cyclic codes. Part 4 BCH codes: minimum polynomials; the roots of BCH codes; some examples of BCH codes; error correction of binary BCH codes; practical procedures for solving the equations; an example of BCH error correction; error correction of nonbinary BCH codes; Reed Solomon (RS) codes; a worked RS example; an example of practical use of RS codes; other aspects of RS codes. Part 5 Convolutional codes: tree and trellis codes; the Viterbi algorithm; linear convolutional codes; control of decoding errors.

Additional information

NPB9780890067840
9780890067840
0890067848
Introduction to Error-correcting Codes by Michael Purser
New
Hardback
Artech House Publishers
1994-11-30
148
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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