Cover image for Error correction coding : mathematical methods and algorithms
Title:
Error correction coding : mathematical methods and algorithms
Personal Author:
Publication Information:
Hoboken, N.J. : Wiley-Interscience, 2005
ISBN:
9780471648000

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30000004995571 TA331 M664 2005 Open Access Book Book
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30000003592965 TA331 M664 2005 Open Access Book Book
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Summary

Summary

An unparalleled learning tool and guide to error correction coding

Error correction coding techniques allow the detection and correction of errors occurring during the transmission of data in digital communication systems. These techniques are nearly universally employed in modern communication systems, and are thus an important component of the modern information economy.

Error Correction Coding: Mathematical Methods and Algorithms provides a comprehensive introduction to both the theoretical and practical aspects of error correction coding, with a presentation suitable for a wide variety of audiences, including graduate students in electrical engineering, mathematics, or computer science. The pedagogy is arranged so that the mathematical concepts are presented incrementally, followed immediately by applications to coding. A large number of exercises expand and deepen students' understanding. A unique feature of the book is a set of programming laboratories, supplemented with over 250 programs and functions on an associated Web site, which provides hands-on experience and a better understanding of the material. These laboratories lead students through the implementation and evaluation of Hamming codes, CRC codes, BCH and R-S codes, convolutional codes, turbo codes, and LDPC codes.

This text offers both "classical" coding theory-such as Hamming, BCH, Reed-Solomon, Reed-Muller, and convolutional codes-as well as modern codes and decoding methods, including turbo codes, LDPC codes, repeat-accumulate codes, space time codes, factor graphs, soft-decision decoding, Guruswami-Sudan decoding, EXIT charts, and iterative decoding. Theoretical complements on performance and bounds are presented. Coding is also put into its communications and information theoretic context and connections are drawn to public key cryptosystems.

Ideal as a classroom resource and a professional reference, this thorough guide will benefit electrical and computer engineers, mathematicians, students, researchers, and scientists.


Author Notes

TODD K. MOON is a Professor in the Electrical and Computer Engineering Department at Utah State University and a senior member of the IEEE. His research interests include application of mathematical principles to problems involving the transmission, extraction, modeling, compression or analysis of signals. He is the coauthor of a widely-adopted graduate-level textbook in signal processing and author of numerous articles and conference presentations, as well as a children's book on programming. He also consults widely for industry.


Table of Contents

Preface
List of Program Files
List of Laboratory Exercises
List of Algorithms
List of Figures
List of Tables
List of Boxes
Part I Introduction And Foundations
1 A Context for Error Correcting Coding
Part II Block Codes
2 Groups and Vector Spaces
3 Linear Block Codes
4 Cyclic Codes, Rings, and Polynomials
5 Rudiments of Number Theory and Algebra
6 BCH and Reed-Solomon Codes: Designer Cyclic Codes
7 Alternate Decoding Algorithms for Reed-Solomon Codes
8 Other Important Block Codes
9 Bounds on Codes
10 Bursty Channels, Interleavers, and Concatenation
11 Soft-Decision Decoding Algorithms
Part III Codes On Graphs
12 Convolution Codes
13 Trefils Coded Modulation
Part IV Interatively Decoded Codes
14 Turbo Codes
15 Low-Density Parity-Check Codes
16 Decoding Algorithms on Graphs
Part V Space-Time Coding
17 Fading Channels and Space-Time Coding
References
Index