Understanding Error Control Coding

This practical resource provides you with a comprehensive understanding of error control coding, an essential and widely applied area in modern digital communications. The goal of error control coding is to encode information in such a way that even if the channel (or storage medium) introduces errors, the receiver can correct the errors and recover the original transmitted information. This book includes the most useful modern and classic codes, including block, Reed Solomon, convolutional, turbo, and LDPC codes.You find clear guidance on code construction, decoding algorithms, and error correcting performances. Moreover, this unique book introduces computer simulations integrally to help you master key concepts. Including a companion DVD with MATLAB programs and supported with over 540 equations, this hands-on reference provides you with an in-depth treatment of a wide range of practical implementation issues.

Rapid advances in electronic and optical technology have enabled the implementation of powerful error-control codes, which are now used in almost the entire range of information systems with close to optimal performance. These codes and decoding methods are required for the detection and correction of the errors and erasures which inevitably occur in digital information during transmission, storage and processing because of noise, interference and other imperfections. Error-control coding is a complex, novel and unfamiliar area, not yet widely understood and appreciated. This book sets out to provide a clear description of the essentials of the subject, with comprehensive and up-to-date coverage of the most useful codes and their decoding algorithms. A practical engineering and information technology emphasis, as well as relevant background material and fundamental theoretical aspects, provides an in-depth guide to the essentials of Error-Control Coding. Provides extensive and detailed coverage of Block, Cyclic, BCH, Reed-Solomon, Convolutional, Turbo, and Low Density Parity Check (LDPC) codes, together with relevant aspects of Information Theory EXIT chart performance analysis for iteratively decoded error-control techniques Heavily illustrated with tables, diagrams, graphs, worked examples, and exercises Invaluable companion website features slides of figures, algorithm software, updates and solutions to problems Offering a complete overview of Error Control Coding, this book is an indispensable resource for students, engineers and researchers in the areas of telecommunications engineering, communication networks, electronic engineering, computer science, information systems and technology, digital signal processing and applied mathematics.

The purpose of Error-Control Coding for Data Networks is to provide an accessible and comprehensive overview of the fundamental techniques and practical applications of the error-control coding needed by students and engineers. An additional purpose of the book is to acquaint the reader with the analytical techniques used to design an error-control coding system for many new applications in data networks. Error~control coding is a field in which elegant theory was motivated by practical problems so that it often leads to important useful advances. Claude Shannon in 1948 proved the existence of error-control codes that, under suitable conditions and at rates less than channel capacity, would transmit error-free information for all practical applications. The first practical binary codes were introduced by Richard Hamming and Marcel Golay from which the drama and excitement have infused researchers and engineers in digital communication and error-control coding for more than fifty years. Nowadays, error-control codes are being used in almost all modem digital electronic systems and data networks. Not only is coding equipment being implemented to increase the energy and bandwidth efficiency of communication systems, but coding also provides innovative solutions to many related data-networking problems.

Essentials of Error-Control Coding Techniques presents error-control coding techniques with an emphasis on the most recent applications. It is written for engineers who use or build error-control coding equipment. Many examples of practical applications are provided, enabling the reader to obtain valuable expertise for the development of a wide range of error-control coding systems. Necessary background knowledge of coding theory (the theory of error-correcting codes) is also included so that the reader is able to assimilate the concepts and the techniques. The book is divided into two parts. The first provides the reader with the fundamental knowledge of the coding theory that is necessary to understand the material in the latter part. Topics covered include the principles of error detection and correction, block codes, and convolutional codes. The second part is devoted to the practical applications of error-control coding in various fields. It explains how to design cost-effective error-control coding systems. Many examples of actual error-control coding systems are described and evaluated. This book is particularly suited for the engineer striving to master the practical applications of error-control coding. It is also suitable for use as a graduate text for an advanced course in coding theory.

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.

This book is addressed to newcomers to error control coding (ECC), making the subject easy to understand and to apply in a variety of cases. The book begins by presenting in a detailed, step-by-step manner the plethora of parts an ECC system has and the way they interact to achieve the performance required. Contrary to the more abstract and formal approach followed in most books on this topic, this book is unique in that all of the concepts, methods, techniques and algorithms are introduced by way of examples. Thus, the book is almost a workbook, and therefore very suitable for self-study. Readers are encouraged to take an active role while reading, performing calculations as chapters' progress. Moreover, to reinforce the learning process, many of the topics introduced in the book (Galois fields, Extended Hamming codes, Reed-Solomon codes, interleaving, erasure correction, etc.) are presented in various parts of the book in different ways or contexts. Offers a practical guide to error control coding, accessible to readers with varying backgrounds; Provides newcomers with a sound foundation in error control coding, using a select few topics considered by the author fundamental from an engineering point of view; Presents material with minimal mathematics; Motivates carefully concepts, methods and algorithms making clear the idea behind the conditions for the code to work.

Completely updated to cover latest developments, this text provides a bridge between introductory courses in digitial communications and more advanced courses in information technology. It presents state-of-the-art control techniques.

This book is addressed to newcomers to error control coding (ECC), making the subject easy to understand and to apply in a variety of cases. The book begins by presenting in a detailed, step-by-step manner the plethora of parts an ECC system has and the way they interact to achieve the performance required. Contrary to the more abstract and formal approach followed in most books on this topic, this book is unique in that all of the concepts, methods, techniques and algorithms are introduced by way of examples. Thus, the book is almost a workbook, and therefore very suitable for self-study. Readers are encouraged to take an active role while reading, performing calculations as chapters’ progress. Moreover, to reinforce the learning process, many of the topics introduced in the book (Galois fields, Extended Hamming codes, Reed-Solomon codes, interleaving, erasure correction, etc.) are presented in various parts of the book in different ways or contexts. Offers a practical guide to error control coding, accessible to readers with varying backgrounds; Provides newcomers with a sound foundation in error control coding, using a select few topics considered by the author fundamental from an engineering point of view; Presents material with minimal mathematics; Motivates carefully concepts, methods and algorithms making clear the idea behind the conditions for the code to work.