Error Correction Coding

Mathematical Methods and Algorithms

Todd K. Moon

800 pages, parution le 10/08/2005

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Résumé

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.

Sommaire

Introduction And Foundations
- A Context for Error Correcting Coding
Block Codes
- Groups and Vector Spaces
- Linear Block Codes
- Cyclic Codes, Rings, and Polynomials
- Rudiments of Number Theory and Algebra
- BCH and Reed-Solomon Codes: Designer Cyclic Codes
- Alternate Decoding Algorithms for Reed-Solomon Codes
- Other Important Block Codes
- Bounds on Codes
- Bursty Channels, Interleavers, and Concatenation
- Soft-Decision Decoding Algorithms
Codes on graphs
- Convolution Codes
- Trefils Coded Modulation
Interatively Decoded Codes
- Turbo Codes
- Low-Density Parity-Check Codes
- Decoding Algorithms on Graphs
Space-time Coding
- Fading Channels and Space-Time Coding

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Wiley
Auteur(s)	Todd K. Moon
Parution	10/08/2005
Nb. de pages	800
Format	19,5 x 24
Couverture	Relié
Poids	1515g
Intérieur	Noir et Blanc
EAN13	9780471648000
ISBN13	978-0-471-64800-0