Error Correction Coding And Decoding

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Error-Correction Coding and Decoding

Author : Martin Tomlinson
Publisher : Springer
ISBN 13 : 3319511033
Total Pages : 527 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Error-Correction Coding and Decoding by : Martin Tomlinson

Download or read book Error-Correction Coding and Decoding written by Martin Tomlinson and published by Springer. This book was released on 2017-02-21 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses both the theory and practical applications of self-correcting data, commonly known as error-correcting codes. The applications included demonstrate the importance of these codes in a wide range of everyday technologies, from smartphones to secure communications and transactions. Written in a readily understandable style, the book presents the authors’ twenty-five years of research organized into five parts: Part I is concerned with the theoretical performance attainable by using error correcting codes to achieve communications efficiency in digital communications systems. Part II explores the construction of error-correcting codes and explains the different families of codes and how they are designed. Techniques are described for producing the very best codes. Part III addresses the analysis of low-density parity-check (LDPC) codes, primarily to calculate their stopping sets and low-weight codeword spectrum which determines the performance of th ese codes. Part IV deals with decoders designed to realize optimum performance. Part V describes applications which include combined error correction and detection, public key cryptography using Goppa codes, correcting errors in passwords and watermarking. This book is a valuable resource for anyone interested in error-correcting codes and their applications, ranging from non-experts to professionals at the forefront of research in their field. This book is open access under a CC BY 4.0 license.

Error Correction Coding

Author : Todd K. Moon
Publisher : John Wiley & Sons
ISBN 13 : 0471648000
Total Pages : 800 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis Error Correction Coding by : Todd K. Moon

Download or read book Error Correction Coding written by Todd K. Moon and published by John Wiley & Sons. This book was released on 2005-06-06 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Error-Correction Coding for Digital Communications

Author : George C. Clark Jr.
Publisher : Springer Science & Business Media
ISBN 13 : 1489921745
Total Pages : 432 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Error-Correction Coding for Digital Communications by : George C. Clark Jr.

Download or read book Error-Correction Coding for Digital Communications written by George C. Clark Jr. and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Error-correction coding is being used on an almost routine basis in most new communication systems. Not only is coding equipment being used to increase the energy efficiency of communication links, but coding ideas are also providing innovative solutions to many related communication problems. Among these are the elimination of intersymbol interference caused by filtering and multipath and the improved demodulation of certain frequency modulated signals by taking advantage of the "natural" coding provided by a continuous phase. Although several books and nu merous articles have been written on coding theory, there are still noticeable deficiencies. First, the practical aspects of translating a specific decoding algorithm into actual hardware have been largely ignored. The information that is available is sketchy and is widely dispersed. Second, the information required to evaluate a particular technique under situations that are en countered in practice is available for the most part only in private company reports. This book is aimed at correcting both of these problems. It is written for the design engineer who must build the coding and decoding equipment and for the communication system engineer who must incorporate this equipment into a system. It is also suitable as a senior-level or first-year graduate text for an introductory one-semester course in coding theory. The book U"Ses a minimum of mathematics and entirely avoids the classical theorem/proof approach that is often seen in coding texts.

Fundamentals of Error-Correcting Codes

Author : W. Cary Huffman
Publisher : Cambridge University Press
ISBN 13 : 1139439502
Total Pages : 668 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Fundamentals of Error-Correcting Codes by : W. Cary Huffman

Download or read book Fundamentals of Error-Correcting Codes written by W. Cary Huffman and published by Cambridge University Press. This book was released on 2010-02-18 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Error Correcting Codes is an in-depth introduction to coding theory from both an engineering and mathematical viewpoint. As well as covering classical topics, there is much coverage of techniques which could only be found in specialist journals and book publications. Numerous exercises and examples and an accessible writing style make this a lucid and effective introduction to coding theory for advanced undergraduate and graduate students, researchers and engineers, whether approaching the subject from a mathematical, engineering or computer science background.

An Introduction to Error Correcting Codes with Applications

Author : Scott A. Vanstone
Publisher : Springer Science & Business Media
ISBN 13 : 1475720327
Total Pages : 297 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis An Introduction to Error Correcting Codes with Applications by : Scott A. Vanstone

Download or read book An Introduction to Error Correcting Codes with Applications written by Scott A. Vanstone and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: 5. 2 Rings and Ideals 148 5. 3 Ideals and Cyclic Subspaces 152 5. 4 Generator Matrices and Parity-Check Matrices 159 5. 5 Encoding Cyclic Codest 163 5. 6 Syndromes and Simple Decoding Procedures 168 5. 7 Burst Error Correcting 175 5. 8 Finite Fields and Factoring xn-l over GF(q) 181 5. 9 Another Method for Factoring xn-l over GF(q)t 187 5. 10 Exercises 193 Chapter 6 BCH Codes and Bounds for Cyclic Codes 6. 1 Introduction 201 6. 2 BCH Codes and the BCH Bound 205 6. 3 Bounds for Cyclic Codest 210 6. 4 Decoding BCH Codes 215 6. 5 Linearized Polynomials and Finding Roots of Polynomialst 224 6. 6 Exercises 231 Chapter 7 Error Correction Techniques and Digital Audio Recording 7. 1 Introduction 237 7. 2 Reed-Solomon Codes 237 7. 3 Channel Erasures 240 7. 4 BCH Decoding with Erasures 244 7. 5 Interleaving 250 7. 6 Error Correction and Digital Audio Recording 256 7.

Error Correcting Codes

Author : D J. Baylis
Publisher : Routledge
ISBN 13 : 1351449842
Total Pages : 232 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Error Correcting Codes by : D J. Baylis

Download or read book Error Correcting Codes written by D J. Baylis and published by Routledge. This book was released on 2018-05-11 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming little previous mathematical knowledge, Error Correcting Codes provides a sound introduction to key areas of the subject. Topics have been chosen for their importance and practical significance, which Baylis demonstrates in a rigorous but gentle mathematical style.Coverage includes optimal codes; linear and non-linear codes; general techniques of decoding errors and erasures; error detection; syndrome decoding, and much more. Error Correcting Codes contains not only straight maths, but also exercises on more investigational problem solving. Chapters on number theory and polynomial algebra are included to support linear codes and cyclic codes, and an extensive reminder of relevant topics in linear algebra is given. Exercises are placed within the main body of the text to encourage active participation by the reader, with comprehensive solutions provided.Error Correcting Codes will appeal to undergraduate students in pure and applied mathematical fields, software engineering, communications engineering, computer science and information technology, and to organizations with substantial research and development in those areas.

Error-Correction Coding and Decoding

Author : Mohammed Ahmed
Publisher :
ISBN 13 : 9781013268151
Total Pages : 526 pages
Book Rating : 4.2/5 (681 download)

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Book Synopsis Error-Correction Coding and Decoding by : Mohammed Ahmed

Download or read book Error-Correction Coding and Decoding written by Mohammed Ahmed and published by . This book was released on 2020-10-08 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses both the theory and practical applications of self-correcting data, commonly known as error-correcting codes. The applications included demonstrate the importance of these codes in a wide range of everyday technologies, from smartphones to secure communications and transactions. Written in a readily understandable style, the book presents the authors' twenty-five years of research organized into five parts: Part I is concerned with the theoretical performance attainable by using error correcting codes to achieve communications efficiency in digital communications systems.Part II explores the construction of error-correcting codes and explains the different families of codes and how they are designed. Techniques are described for producing the very best codes.Part III addresses the analysis of low-density parity-check (LDPC) codes, primarily to calculate their stopping sets and low-weight codeword spectrum which determines the performance of these codes.Part IV deals with decoders designed to realize optimum performance.Part V describes applications which include combined error correction and detection, public key cryptography using Goppa codes, correcting errors in passwords and watermarking.This book is a valuable resource for anyone interested in error-correcting codes and their applications, ranging from non-experts to professionals at the forefront of research in their field. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.

The Art of Error Correcting Coding

Author : Robert H. Morelos-Zaragoza
Publisher : John Wiley & Sons
ISBN 13 : 0470035692
Total Pages : 278 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis The Art of Error Correcting Coding by : Robert H. Morelos-Zaragoza

Download or read book The Art of Error Correcting Coding written by Robert H. Morelos-Zaragoza and published by John Wiley & Sons. This book was released on 2006-07-11 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on the success of the first edition, which offered a practical introductory approach to the techniques of error concealment, this book, now fully revised and updated, provides a comprehensive treatment of the subject and includes a wealth of additional features. The Art of Error Correcting Coding, Second Edition explores intermediate and advanced level concepts as well as those which will appeal to the novice. All key topics are discussed, including Reed-Solomon codes, Viterbi decoding, soft-output decoding algorithms, MAP, log-MAP and MAX-log-MAP. Reliability-based algorithms GMD and Chase are examined, as are turbo codes, both serially and parallel concatenated, as well as low-density parity-check (LDPC) codes and their iterative decoders. Features additional problems at the end of each chapter and an instructor’s solutions manual Updated companion website offers new C/C ++programs and MATLAB scripts, to help with the understanding and implementation of basic ECC techniques Easy to follow examples illustrate the fundamental concepts of error correcting codes Basic analysis tools are provided throughout to help in the assessment of the error performance block and convolutional codes of a particular error correcting coding (ECC) scheme for a selection of the basic channel models This edition provides an essential resource to engineers, computer scientists and graduate students alike for understanding and applying ECC techniques in the transmission and storage of digital information.

Error-Correcting Linear Codes

Author : Anton Betten
Publisher : Springer Science & Business Media
ISBN 13 : 3540317031
Total Pages : 819 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Error-Correcting Linear Codes by : Anton Betten

Download or read book Error-Correcting Linear Codes written by Anton Betten and published by Springer Science & Business Media. This book was released on 2006-09-21 with total page 819 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers an introduction to error-correcting linear codes for researchers and graduate students in mathematics, computer science and engineering. The book differs from other standard texts in its emphasis on the classification of codes by means of isometry classes. The relevant algebraic are developed rigorously. Cyclic codes are discussed in great detail. In the last four chapters these isometry classes are enumerated, and representatives are constructed algorithmically.

A Practical Guide to Error-control Coding Using Matlab

Author : Yuan Jiang
Publisher : Artech House
ISBN 13 : 1608070891
Total Pages : 293 pages
Book Rating : 4.6/5 (8 download)

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Book Synopsis A Practical Guide to Error-control Coding Using Matlab by : Yuan Jiang

Download or read book A Practical Guide to Error-control Coding Using Matlab written by Yuan Jiang and published by Artech House. This book was released on 2010 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Error Correction Codes for Non-Volatile Memories

Author : Rino Micheloni
Publisher : Springer Science & Business Media
ISBN 13 : 1402083912
Total Pages : 338 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Error Correction Codes for Non-Volatile Memories by : Rino Micheloni

Download or read book Error Correction Codes for Non-Volatile Memories written by Rino Micheloni and published by Springer Science & Business Media. This book was released on 2008-06-03 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nowadays it is hard to find an electronic device which does not use codes: for example, we listen to music via heavily encoded audio CD's and we watch movies via encoded DVD's. There is at least one area where the use of encoding/decoding is not so developed, yet: Flash non-volatile memories. Flash memory high-density, low power, cost effectiveness, and scalable design make it an ideal choice to fuel the explosion of multimedia products, like USB keys, MP3 players, digital cameras and solid-state disk. In ECC for Non-Volatile Memories the authors expose the basics of coding theory needed to understand the application to memories, as well as the relevant design topics, with reference to both NOR and NAND Flash architectures. A collection of software routines is also included for better understanding. The authors form a research group (now at Qimonda) which is the typical example of a fruitful collaboration between mathematicians and engineers.

Polynomial Theory of Error Correcting Codes

Author : Giovanni Cancellieri
Publisher : Springer
ISBN 13 : 3319017276
Total Pages : 736 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Polynomial Theory of Error Correcting Codes by : Giovanni Cancellieri

Download or read book Polynomial Theory of Error Correcting Codes written by Giovanni Cancellieri and published by Springer. This book was released on 2014-11-08 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers an original view on channel coding, based on a unitary approach to block and convolutional codes for error correction. It presents both new concepts and new families of codes. For example, lengthened and modified lengthened cyclic codes are introduced as a bridge towards time-invariant convolutional codes and their extension to time-varying versions. The novel families of codes include turbo codes and low-density parity check (LDPC) codes, the features of which are justified from the structural properties of the component codes. Design procedures for regular LDPC codes are proposed, supported by the presented theory. Quasi-cyclic LDPC codes, in block or convolutional form, represent one of the most original contributions of the book. The use of more than 100 examples allows the reader gradually to gain an understanding of the theory, and the provision of a list of more than 150 definitions, indexed at the end of the book, permits rapid location of sought information.

Fundamentals of Classical and Modern Error-Correcting Codes

Author : Shu Lin
Publisher : Cambridge University Press
ISBN 13 : 1316512622
Total Pages : 843 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Fundamentals of Classical and Modern Error-Correcting Codes by : Shu Lin

Download or read book Fundamentals of Classical and Modern Error-Correcting Codes written by Shu Lin and published by Cambridge University Press. This book was released on 2021-12-09 with total page 843 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible textbook that uses step-by-step explanations, relatively easy mathematics and numerous examples to aid student understanding.

List Decoding of Error-Correcting Codes

Author : Venkatesan Guruswami
Publisher : Springer Science & Business Media
ISBN 13 : 3540240519
Total Pages : 354 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis List Decoding of Error-Correcting Codes by : Venkatesan Guruswami

Download or read book List Decoding of Error-Correcting Codes written by Venkatesan Guruswami and published by Springer Science & Business Media. This book was released on 2004-11-29 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a thoroughly revised and extended version of the author's PhD thesis, which was selected as the winning thesis of the 2002 ACM Doctoral Dissertation Competition. Venkatesan Guruswami did his PhD work at the MIT with Madhu Sudan as thesis adviser. Starting with the seminal work of Shannon and Hamming, coding theory has generated a rich theory of error-correcting codes. This theory has traditionally gone hand in hand with the algorithmic theory of decoding that tackles the problem of recovering from the transmission errors efficiently. This book presents some spectacular new results in the area of decoding algorithms for error-correcting codes. Specificially, it shows how the notion of list-decoding can be applied to recover from far more errors, for a wide variety of error-correcting codes, than achievable before The style of the exposition is crisp and the enormous amount of information on combinatorial results, polynomial time list decoding algorithms, and applications is presented in well structured form.

Iterative Error Correction

Author : Sarah J. Johnson
Publisher : Cambridge University Press
ISBN 13 : 0521871484
Total Pages : 356 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Iterative Error Correction by : Sarah J. Johnson

Download or read book Iterative Error Correction written by Sarah J. Johnson and published by Cambridge University Press. This book was released on 2010 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents all of the key ideas needed to understand, design, implement and analyse iterative-based error correction schemes.

Linear Network Error Correction Coding

Author : Xuan Guang
Publisher : Springer Science & Business Media
ISBN 13 : 1493905880
Total Pages : 110 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Linear Network Error Correction Coding by : Xuan Guang

Download or read book Linear Network Error Correction Coding written by Xuan Guang and published by Springer Science & Business Media. This book was released on 2014-03-21 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are two main approaches in the theory of network error correction coding. In this SpringerBrief, the authors summarize some of the most important contributions following the classic approach, which represents messages by sequences similar to algebraic coding, and also briefly discuss the main results following the other approach, that uses the theory of rank metric codes for network error correction of representing messages by subspaces. This book starts by establishing the basic linear network error correction (LNEC) model and then characterizes two equivalent descriptions. Distances and weights are defined in order to characterize the discrepancy of these two vectors and to measure the seriousness of errors. Similar to classical error-correcting codes, the authors also apply the minimum distance decoding principle to LNEC codes at each sink node, but use distinct distances. For this decoding principle, it is shown that the minimum distance of a LNEC code at each sink node can fully characterize its error-detecting, error-correcting and erasure-error-correcting capabilities with respect to the sink node. In addition, some important and useful coding bounds in classical coding theory are generalized to linear network error correction coding, including the Hamming bound, the Gilbert-Varshamov bound and the Singleton bound. Several constructive algorithms of LNEC codes are presented, particularly for LNEC MDS codes, along with an analysis of their performance. Random linear network error correction coding is feasible for noncoherent networks with errors. Its performance is investigated by estimating upper bounds on some failure probabilities by analyzing the information transmission and error correction. Finally, the basic theory of subspace codes is introduced including the encoding and decoding principle as well as the channel model, the bounds on subspace codes, code construction and decoding algorithms.

Foundations of Coding

Author : Jiri Adamek
Publisher : John Wiley & Sons
ISBN 13 : 1118031512
Total Pages : 352 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Foundations of Coding by : Jiri Adamek

Download or read book Foundations of Coding written by Jiri Adamek and published by John Wiley & Sons. This book was released on 2011-02-14 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although devoted to constructions of good codes for error control, secrecy or data compression, the emphasis is on the first direction. Introduces a number of important classes of error-detecting and error-correcting codes as well as their decoding methods. Background material on modern algebra is presented where required. The role of error-correcting codes in modern cryptography is treated as are data compression and other topics related to information theory. The definition-theorem proof style used in mathematics texts is employed through the book but formalism is avoided wherever possible.