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Algebraic Codes For Data Transmission

Autor: Richard E. Blahut
Publisher: Cambridge University Press
ISBN: 1139435078
File Size: 10,35 MB
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The need to transmit and store massive amounts of data reliably and without error is a vital part of modern communications systems. Error-correcting codes play a fundamental role in minimising data corruption caused by defects such as noise, interference, crosstalk and packet loss. This book provides an accessible introduction to the basic elements of algebraic codes, and discusses their use in a variety of applications. The author describes a range of important coding techniques, including Reed-Solomon codes, BCH codes, trellis codes, and turbocodes. Throughout the book, mathematical theory is illustrated by reference to many practical examples. The book was first published in 2003 and is aimed at graduate students of electrical and computer engineering, and at practising engineers whose work involves communications or signal processing.

Algebraic Codes On Lines Planes And Curves

Autor: Richard E. Blahut
Publisher: Cambridge University Press
ISBN: 1139469460
File Size: 5,24 MB
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The past few years have witnessed significant developments in algebraic coding theory. This book provides an advanced treatment of the subject from an engineering perspective, covering the basic principles and their application in communications and signal processing. Emphasis is on codes defined on the line, on the plane, and on curves, with the core ideas presented using commutative algebra and computational algebraic geometry made accessible using the Fourier transform. Starting with codes defined on a line, a background framework is established upon which the later chapters concerning codes on planes, and on curves, are developed. The decoding algorithms are developed using the standard engineering approach applied to those of Reed-Solomon codes, enabling them to be evaluated against practical applications. Integrating recent developments in the field into the classical treatment of algebraic coding, this is an invaluable resource for graduate students and researchers in telecommunications and applied mathematics.

Channel Codes

Autor: William Ryan
Publisher: Cambridge University Press
ISBN: 1139483013
File Size: 26,21 MB
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Channel coding lies at the heart of digital communication and data storage, and this detailed introduction describes the core theory as well as decoding algorithms, implementation details, and performance analyses. In this book, Professors Ryan and Lin provide clear information on modern channel codes, including turbo and low-density parity-check (LDPC) codes. They also present detailed coverage of BCH codes, Reed-Solomon codes, convolutional codes, finite geometry codes, and product codes, providing a one-stop resource for both classical and modern coding techniques. Assuming no prior knowledge in the field of channel coding, the opening chapters begin with basic theory to introduce newcomers to the subject. Later chapters then extend to advanced topics such as code ensemble performance analyses and algebraic code design. 250 varied and stimulating end-of-chapter problems are also included to test and enhance learning, making this an essential resource for students and practitioners alike.

Introduction To Coding Theory

Autor: Ron Roth
Publisher: Cambridge University Press
ISBN: 9780521845045
File Size: 30,13 MB
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This 2006 book introduces the theoretical foundations of error-correcting codes for senior-undergraduate to graduate students.

Algebraic And Stochastic Coding Theory

Autor: Dave K. Kythe
Publisher: CRC Press
ISBN: 1466505621
File Size: 17,89 MB
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Using a simple yet rigorous approach, Algebraic and Stochastic Coding Theory makes the subject of coding theory easy to understand for readers with a thorough knowledge of digital arithmetic, Boolean and modern algebra, and probability theory. It explains the underlying principles of coding theory and offers a clear, detailed description of each code. More advanced readers will appreciate its coverage of recent developments in coding theory and stochastic processes. After a brief review of coding history and Boolean algebra, the book introduces linear codes, including Hamming and Golay codes. It then examines codes based on the Galois field theory as well as their application in BCH and especially the Reed–Solomon codes that have been used for error correction of data transmissions in space missions. The major outlook in coding theory seems to be geared toward stochastic processes, and this book takes a bold step in this direction. As research focuses on error correction and recovery of erasures, the book discusses belief propagation and distributions. It examines the low-density parity-check and erasure codes that have opened up new approaches to improve wide-area network data transmission. It also describes modern codes, such as the Luby transform and Raptor codes, that are enabling new directions in high-speed transmission of very large data to multiple users. This robust, self-contained text fully explains coding problems, illustrating them with more than 200 examples. Combining theory and computational techniques, it will appeal not only to students but also to industry professionals, researchers, and academics in areas such as coding theory and signal and image processing.

Error Control Systems For Digital Communication And Storage

Autor: Stephen B. Wicker
Publisher:
ISBN:
File Size: 14,70 MB
Format: PDF
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This introductory text on error control coding focuses on key implementation issues and performance analysis with applications valuable to both mathematicians and engineers. It features discussion of punctured convolutional codes; performance analysis of block codes; system implementation issues for the Viterbi Decoder and the various decoders for ReedSolomon and BCH codes; the theory of finite fields; error control for channels with feedback; trellis coded modulation; and historical background and up-to-date applications. This text is intended for use by introductory postgraduate courses in coding for telecommunications engineering, and digital communications.

Lightwave Communications

Autor: George C. Papen
Publisher: Cambridge University Press
ISBN: 1108427561
File Size: 19,48 MB
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Rigorous and comprehensive, this pioneering text is the first to combine communications theory with the physics of optical communications.

Iterative Error Correction

Autor: Sarah J. Johnson
Publisher: Cambridge University Press
ISBN: 0521871484
File Size: 24,33 MB
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Presents all of the key ideas needed to understand, design, implement and analyse iterative-based error correction schemes.

Networked Life

Autor: Mung Chiang
Publisher: Cambridge University Press
ISBN: 1107024943
File Size: 7,34 MB
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How does the Internet really work? This book explains the technology behind it all, in simple question and answer format.

Introduction To Digital Mobile Communication

Autor: Yoshihiko Akaiwa
Publisher: John Wiley & Sons
ISBN: 1119041104
File Size: 7,90 MB
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Introduces digital mobile communications with an emphasis on digital transmission methods This book presents mathematical analyses of signals, mobile radio channels, and digital modulation methods. The new edition covers the evolution of wireless communications technologies and systems. The major new topics are OFDM (orthogonal frequency domain multiplexing), MIMO (multi-input multi-output) systems, frequency-domain equalization, the turbo codes, LDPC (low density parity check code), ACELP (algebraic code excited linear predictive) voice coding, dynamic scheduling for wireless packet data transmission and nonlinearity compensating digital pre-distorter amplifiers. The new systems using the above mentioned technologies include the second generation evolution systems, the third generation systems with their evolution systems, LTE and LTE-advanced systems, and advanced wireless local area network systems. The second edition of Digital Mobile Communication: Presents basic concepts and applications to a variety of mobile communication systems Discusses current applications of modern digital mobile communication systems Covers the evolution of wireless communications technologies and systems in conjunction with their background The second edition of Digital Mobile Communication is an important textbook for university students, researchers, and engineers involved in wireless communications.

Automatic Speech Recognition On Mobile Devices And Over Communication Networks

Autor: Zheng-Hua Tan
Publisher: Springer Science & Business Media
ISBN: 1848001436
File Size: 29,31 MB
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The advances in computing and networking have sparked an enormous interest in deploying automatic speech recognition on mobile devices and over communication networks. This book brings together academic researchers and industrial practitioners to address the issues in this emerging realm and presents the reader with a comprehensive introduction to the subject of speech recognition in devices and networks. It covers network, distributed and embedded speech recognition systems.

Error Control Coding For Data Networks

Autor: Irving S. Reed
Publisher: Springer Science & Business Media
ISBN: 146155005X
File Size: 27,88 MB
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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.

Modern Coding Theory

Autor: Tom Richardson
Publisher: Cambridge University Press
ISBN: 1139469649
File Size: 5,14 MB
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Having trouble deciding which coding scheme to employ, how to design a new scheme, or how to improve an existing system? This summary of the state-of-the-art in iterative coding makes this decision more straightforward. With emphasis on the underlying theory, techniques to analyse and design practical iterative coding systems are presented. Using Gallager's original ensemble of LDPC codes, the basic concepts are extended for several general codes, including the practically important class of turbo codes. The simplicity of the binary erasure channel is exploited to develop analytical techniques and intuition, which are then applied to general channel models. A chapter on factor graphs helps to unify the important topics of information theory, coding and communication theory. Covering the most recent advances, this text is ideal for graduate students in electrical engineering and computer science, and practitioners. Additional resources, including instructor's solutions and figures, available online: www.cambridge.org/9780521852296.

Algebraic Coding Theory

Autor: Elwyn R Berlekamp
Publisher: World Scientific
ISBN: 981463591X
File Size: 6,96 MB
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This is the revised edition of Berlekamp's famous book, "Algebraic Coding Theory", originally published in 1968, wherein he introduced several algorithms which have subsequently dominated engineering practice in this field. One of these is an algorithm for decoding Reed-Solomon and Bose–Chaudhuri–Hocquenghem codes that subsequently became known as the Berlekamp–Massey Algorithm. Another is the Berlekamp algorithm for factoring polynomials over finite fields, whose later extensions and embellishments became widely used in symbolic manipulation systems. Other novel algorithms improved the basic methods for doing various arithmetic operations in finite fields of characteristic two. Other major research contributions in this book included a new class of Lee metric codes, and precise asymptotic results on the number of information symbols in long binary BCH codes. Selected chapters of the book became a standard graduate textbook. Both practicing engineers and scholars will find this book to be of great value. Contents:Basic Binary CodesArithmetic Operations Modulo An Irreducible Binary PolynomialThe Number of Irreducible q-ary Polynomials of Given DegreeThe Structure of Finite FieldsCyclic Binary CodesThe Factorization of Polynomials Over Finite FieldsBinary BCH Codes for Correcting Multiple ErrorsNonbinary CodingNegacyclic Codes for the Lee MetricGorenstein-Zierler Generalized Nonbinary BCH Codes for the Hamming MetricLinearized Polynomials and Affine PolynomialsThe Enumeration of Information Symbols in BCH CodesThe Information Rate of the Optimum CodesCodes Derived by Modifying or Combining Other CodesOther Important Coding and Decoding MethodsWeight EnumeratorsAppendices and References Readership: Researchers in coding theory and cryptography, algebra and number theory, and software engineering. Key Features:A classic monograph and reference book on Coding Theory and Cryptography written by a revered scholar long known for his work in coding theoryContains several theorems created by the author that have been respected for 40 yearsKeywords:Coding Theory;Binary Codes;Irreducible Q-ary Polynomial;Error-Correcting Codes;BCH Codes;Berlekamp's Algorithm;Finite Fields

Algebraic Function Fields And Codes

Autor: Henning Stichtenoth
Publisher: Springer Science & Business Media
ISBN: 3540768785
File Size: 7,72 MB
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This book links two subjects: algebraic geometry and coding theory. It uses a novel approach based on the theory of algebraic function fields. Coverage includes the Riemann-Rock theorem, zeta functions and Hasse-Weil's theorem as well as Goppa' s algebraic-geometric codes and other traditional codes. It will be useful to researchers in algebraic geometry and coding theory and computer scientists and engineers in information transmission.

Error Correction Coding

Autor: Todd K. Moon
Publisher: John Wiley & Sons
ISBN: 0471648000
File Size: 6,27 MB
Format: PDF
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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.

Turbo Coding Turbo Equalisation And Space Time Coding

Autor: Lajos Hanzo
Publisher: John Wiley & Sons
ISBN: 9780470978337
File Size: 30,28 MB
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Covering the full range of channel codes from the most conventional through to the most advanced, the second edition of Turbo Coding, Turbo Equalisation and Space-Time Coding is a self-contained reference on channel coding for wireless channels. The book commences with a historical perspective on the topic, which leads to two basic component codes, convolutional and block codes. It then moves on to turbo codes which exploit iterative decoding by using algorithms, such as the Maximum-A-Posteriori (MAP), Log-MAP and Soft Output Viterbi Algorithm (SOVA), comparing their performance. It also compares Trellis Coded Modulation (TCM), Turbo Trellis Coded Modulation (TTCM), Bit-Interleaved Coded Modulation (BICM) and Iterative BICM (BICM-ID) under various channel conditions. The horizon of the content is then extended to incorporate topics which have found their way into diverse standard systems. These include space-time block and trellis codes, as well as other Multiple-Input Multiple-Output (MIMO) schemes and near-instantaneously Adaptive Quadrature Amplitude Modulation (AQAM). The book also elaborates on turbo equalisation by providing a detailed portrayal of recent advances in partial response modulation schemes using diverse channel codes. A radically new aspect for this second edition is the discussion of multi-level coding and sphere-packing schemes, Extrinsic Information Transfer (EXIT) charts, as well as an introduction to the family of Generalized Low Density Parity Check codes. This new edition includes recent advances in near-capacity turbo-transceivers as well as new sections on multi-level coding schemes and of Generalized Low Density Parity Check codes Comparatively studies diverse channel coded and turbo detected systems to give all-inclusive information for researchers, engineers and students Details EXIT-chart based irregular transceiver designs Uses rich performance comparisons as well as diverse near-capacity design examples