Error Correction Coding: Mathematical Methods and Algorithms

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.

An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.

Adaptable to one or two semesters, this engineering textbook introduces classical block- and trellis-based codes and recent development in iteratively decoded codes such as turbo codes and low- density parity check codes. Moon (Utah State University) presents both the mathematical methods for understanding the codes as well as the algorithms used to efficiently encode and decode. Thirteen laboratory exercises implement Reed-Solomon encoders and decoders, convolutional encoders, turbo code decoders, and LDPC decoders. Annotation ©2005 Book News, Inc., Portland, OR

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.