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The Art Of Error Correcting Coding


The Art Of Error Correcting Coding
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The Art Of Error Correcting Coding


The Art Of Error Correcting Coding
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Author : Robert H. Morelos-Zaragoza
language : en
Publisher: John Wiley & Sons
Release Date : 2006-07-11

The Art Of Error Correcting Coding written by Robert H. Morelos-Zaragoza and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-11 with Technology & Engineering categories.


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.



Introduction Of The Art Of Error Correcting Coding


Introduction Of The Art Of Error Correcting Coding
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Author : Summer Newton
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2017-02-03

Introduction Of The Art Of Error Correcting Coding written by Summer Newton and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-03 with categories.


The history of error correcting coding (ECC) started with the introduction of the Hamming codes (Hamming 1974), at or about the same time as the seminal work of Shannon (1948). Shortly after, Golay codes were invented (Golay 1974). These two first classes of codes are optimal, and will be defined in a subsequent section. Figure 1.1 shows the block diagram of a canonical digital communications/storage system. This is the famous Figure 1 in most books on the theory of ECC and digital communications (Benedetto and Biglieri 1999). The information source and destination will include any source coding scheme matched to the nature of the information. The ECC encoder takes as input the information symbols from the source and adds redundant symbols to it, so that most of the errors - introduced in the process of modulating a signal, transmitting it over a noisy medium and demodulating it - can be corrected (Massey 1984; McEliece 1977; Moon 2005).



Iteratively Decodable Codes On The Art Of Error Correcting Coding


Iteratively Decodable Codes On The Art Of Error Correcting Coding
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Author : Alexander Carter
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2017-02-03

Iteratively Decodable Codes On The Art Of Error Correcting Coding written by Alexander Carter and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-03 with categories.


Iterative decoding may be defined as a technique employing a soft-output decoding algorithm that is iterated several times to improve the error performance of a coding scheme, with the aim of approaching true maximum-likelihood decoding (MLD) with least complexity. When the underlying error correcting code is well designed, increasing the number of iterations results in an improvement of the error performance. Iterative decoding techniques date back to 1954 with the work of Elias (1954) on iterated codes. Later, in the 1960s, Gallager (1962) and Massey (1963) made important contributions. Iterative decoding in those days was referred to as probabilistic decoding. The main concept was then, as it is today, to maximize the a posteriori probability of a symbol being sent, given a noisy version of the coded sequence.



Combining Codes And Digital Modulation In The Art Of Error Correcting Coding


Combining Codes And Digital Modulation In The Art Of Error Correcting Coding
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Author : Danielle Newton
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2017-02-03

Combining Codes And Digital Modulation In The Art Of Error Correcting Coding written by Danielle Newton and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-03 with categories.


In discussing SDD, attention was focused on binary transmission, that is, using two possible transmitted symbols {-1, +1}. Let the Nyquist bandwidth of a transmission (or storage) signal be the rate Rs at which symbols are transmitted (or stored). For binary transmission, the two values of a bit, 0 and 1, are assigned to two values of the transmitted symbol, +1 and -1, respectively. Therefore, Rs bits/second require a Nyquist bandwidth of Rs Hz. The spectral efficiency μ of a binary transmission system equals 1 bit/sec/Hz (or 1 bit/symbol). Coded modulation is the joint design of error correcting codes and digital modulation formats to increase the bandwidth efficiency of a digital communication system.



Fundamentals Of Error Correcting Codes


Fundamentals Of Error Correcting Codes
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Author : W. Cary Huffman
language : en
Publisher: Cambridge University Press
Release Date : 2010-02-18

Fundamentals Of Error Correcting Codes written by W. Cary Huffman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-18 with Technology & Engineering categories.


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.



Error Correcting Coding Theory


Error Correcting Coding Theory
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Author : Man Young Rhee
language : en
Publisher: McGraw-Hill Companies
Release Date : 1989

Error Correcting Coding Theory written by Man Young Rhee and has been published by McGraw-Hill Companies this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Computers categories.




Error Correcting Codes


Error Correcting Codes
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Author : William Wesley Peterson
language : en
Publisher: MIT Press
Release Date : 1972

Error Correcting Codes written by William Wesley Peterson and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Computers categories.


The coding problem; Introduction to algebra; Linear codes; Error correction capabilities of linear codes; Important linear block codes; Polynomial rings and galois fields; Linear switching circuits; Cyclic codes; Bose-chaudhuri-hocquenghem codes; Arithmetic codes.



The Theory Of Error Correcting Codes


The Theory Of Error Correcting Codes
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Author : Florence Jessie MacWilliams
language : en
Publisher: Elsevier
Release Date : 1977

The Theory Of Error Correcting Codes written by Florence Jessie MacWilliams and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Computers categories.




Error Correcting Coding And Security For Data Networks


Error Correcting Coding And Security For Data Networks
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Author : Grigorii Kabatiansky
language : en
Publisher: John Wiley & Sons
Release Date : 2005-10-31

Error Correcting Coding And Security For Data Networks written by Grigorii Kabatiansky and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-31 with Technology & Engineering categories.


Error correcting coding is often analyzed in terms of its application to the separate levels within the data network in isolation from each other. In this fresh approach, the authors consider the data network as a superchannel (a multi-layered entity) which allows error correcting coding to be evaluated as it is applied to a number of network layers as a whole. By exposing the problems of applying error correcting coding in data networks, and by discussing coding theory and its applications, this original technique shows how to correct errors in the network through joint coding at different network layers. Discusses the problem of reconciling coding applied to different layers using a superchannel approach Includes thorough coverage of all the key codes: linear block codes, Hamming, BCH and Reed-Solomon codes, LDPC codes decoding, as well as convolutional, turbo and iterative coding Considers new areas of application of error correcting codes such as transport coding, code-based cryptosystems and coding for image compression Demonstrates how to use error correcting coding to control such important data characteristics as mean message delay Provides theoretical explanations backed up by numerous real-world examples and practical recommendations Features a companion website containing additional research results including new constructions of LDPC codes, joint error-control coding and synchronization, Reed-Muller codes and their list decoding By progressing from theory through to practical problem solving, this resource contains invaluable advice for researchers, postgraduate students, engineers and computer scientists interested in data communications and applications of coding theory.



Error Correction Coding And Decoding


Error Correction Coding And Decoding
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Author : Martin Tomlinson
language : en
Publisher: Springer
Release Date : 2017-02-21

Error Correction Coding And Decoding written by Martin Tomlinson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-21 with Technology & Engineering categories.


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.