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Trellis Decoding Of Block Codes


Trellis Decoding Of Block Codes
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Trellis Decoding Of Block Codes


Trellis Decoding Of Block Codes
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Author : Bahram Honary
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Trellis Decoding Of Block Codes written by Bahram Honary and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


It is a great pleasure to be asked to write the Preface for this book on trellis decoding of error correcting block codes. The subject is extremely significant both theoretically and practically, and is very timely because of recent devel opments in the microelectronic implementation and range of application of error-control coding systems based on block codes. The authors have been notably active in signal processing and coding research and development for several years, and therefore very well placed to contribute to the state of the art on the subject of trellis decoding. In particular, the book represents a unique approach to many practical aspects of the topic. As the authors point out, there are two main classes of error control codes: block codes and convolutinal codes. Block codes came first historically and have a well-developed mathematical structure. Convolutional codes come later, and have developed heuristically, though a more formal treatment has emerged via recent developments in the theory of symbolic dynamics. Max imum likelihood (ML) decoding of powerful codes in both these classes is computationally complex in the general case; that is, ML decoding fails into the class of NP-hard computational problems. This arieses because the de coding complexity is an exponential function of key parameters of the code.



Trellises And Trellis Based Decoding Algorithms For Linear Block Codes


Trellises And Trellis Based Decoding Algorithms For Linear Block Codes
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Author : Shu Lin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Trellises And Trellis Based Decoding Algorithms For Linear Block Codes written by Shu Lin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


As the demand for data reliability increases, coding for error control becomes increasingly important in data transmission systems and has become an integral part of almost all data communication system designs. In recent years, various trellis-based soft-decoding algorithms for linear block codes have been devised. New ideas developed in the study of trellis structure of block codes can be used for improving decoding and analyzing the trellis complexity of convolutional codes. These recent developments provide practicing communication engineers with more choices when designing error control systems. Trellises and Trellis-based Decoding Algorithms for Linear Block Codes combines trellises and trellis-based decoding algorithms for linear codes together in a simple and unified form. The approach is to explain the material in an easily understood manner with minimal mathematical rigor. Trellises and Trellis-based Decoding Algorithms for Linear Block Codes is intended for practicing communication engineers who want to have a fast grasp and understanding of the subject. Only material considered essential and useful for practical applications is included. This book can also be used as a text for advanced courses on the subject.



Trellises And Trellis Based Decoding Algorithms For Linear Block Codes


Trellises And Trellis Based Decoding Algorithms For Linear Block Codes
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Author : National Aeronautics and Space Administration (NASA)
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-08-20

Trellises And Trellis Based Decoding Algorithms For Linear Block Codes written by National Aeronautics and Space Administration (NASA) 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 2018-08-20 with categories.


Decoding algorithms based on the trellis representation of a code (block or convolutional) drastically reduce decoding complexity. The best known and most commonly used trellis-based decoding algorithm is the Viterbi algorithm. It is a maximum likelihood decoding algorithm. Convolutional codes with the Viterbi decoding have been widely used for error control in digital communications over the last two decades. This chapter is concerned with the application of the Viterbi decoding algorithm to linear block codes. First, the Viterbi algorithm is presented. Then, optimum sectionalization of a trellis to minimize the computational complexity of a Viterbi decoder is discussed and an algorithm is presented. Some design issues for IC (integrated circuit) implementation of a Viterbi decoder are considered and discussed. Finally, a new decoding algorithm based on the principle of compare-select-add is presented. This new algorithm can be applied to both block and convolutional codes and is more efficient than the conventional Viterbi algorithm based on the add-compare-select principle. This algorithm is particularly efficient for rate 1/n antipodal convolutional codes and their high-rate punctured codes. It reduces computational complexity by one-third compared with the Viterbi algorithm. Lin, Shu Goddard Space Flight Center NAG5-931; NAG5-2938...



Theoretical And Practical Aspects Of The Trellis Decoding Of Block Codes


Theoretical And Practical Aspects Of The Trellis Decoding Of Block Codes
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Author : Luis Enrique Aguardo-Bayón
language : en
Publisher:
Release Date : 1996

Theoretical And Practical Aspects Of The Trellis Decoding Of Block Codes written by Luis Enrique Aguardo-Bayón and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.




Iterative Trellis Decoding For Block Codes


Iterative Trellis Decoding For Block Codes
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Author : Frédéric Fontaine (Michel)
language : en
Publisher:
Release Date : 1999

Iterative Trellis Decoding For Block Codes written by Frédéric Fontaine (Michel) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.




Trellis And Turbo Coding


Trellis And Turbo Coding
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Author : Christian B. Schlegel
language : en
Publisher: John Wiley & Sons
Release Date : 2015-08-12

Trellis And Turbo Coding written by Christian B. Schlegel 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 2015-08-12 with Science categories.


This new edition has been extensively revised to reflect the progress in error control coding over the past few years. Over 60% of the material has been completely reworked, and 30% of the material is original. Convolutional, turbo, and low density parity-check (LDPC) coding and polar codes in a unified framework Advanced research-related developments such as spatial coupling A focus on algorithmic and implementation aspects of error control coding



Trellises And Trellis Based Decoding Algorithms For Linear Block Codes Part 3 An Iterative Decoding Algorithm For Linear Block Codes Based On A Low


Trellises And Trellis Based Decoding Algorithms For Linear Block Codes Part 3 An Iterative Decoding Algorithm For Linear Block Codes Based On A Low
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Author : National Aeronautics and Space Adm Nasa
language : en
Publisher: Independently Published
Release Date : 2018-10-18

Trellises And Trellis Based Decoding Algorithms For Linear Block Codes Part 3 An Iterative Decoding Algorithm For Linear Block Codes Based On A Low written by National Aeronautics and Space Adm Nasa and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-18 with Science categories.


For long linear block codes, maximum likelihood decoding based on full code trellises would be very hard to implement if not impossible. In this case, we may wish to trade error performance for the reduction in decoding complexity. Sub-optimum soft-decision decoding of a linear block code based on a low-weight sub-trellis can be devised to provide an effective trade-off between error performance and decoding complexity. This chapter presents such a suboptimal decoding algorithm for linear block codes. This decoding algorithm is iterative in nature and based on an optimality test. It has the following important features: (1) a simple method to generate a sequence of candidate code-words, one at a time, for test; (2) a sufficient condition for testing a candidate code-word for optimality; and (3) a low-weight sub-trellis search for finding the most likely (ML) code-word. Lin, Shu and Fossorier, Marc Goddard Space Flight Center NAG5-931; NAG5-2938



Trellises And Trellis Based Decoding Algorithms For Linear Block Codes Part 3 An Iterative Decoding Algorithm For Linear Block Codes Based On A Low Weight Trellis Search


Trellises And Trellis Based Decoding Algorithms For Linear Block Codes Part 3 An Iterative Decoding Algorithm For Linear Block Codes Based On A Low Weight Trellis Search
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Author : National Aeronautics and Space Administration (NASA)
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-07-15

Trellises And Trellis Based Decoding Algorithms For Linear Block Codes Part 3 An Iterative Decoding Algorithm For Linear Block Codes Based On A Low Weight Trellis Search written by National Aeronautics and Space Administration (NASA) 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 2018-07-15 with categories.


For long linear block codes, maximum likelihood decoding based on full code trellises would be very hard to implement if not impossible. In this case, we may wish to trade error performance for the reduction in decoding complexity. Sub-optimum soft-decision decoding of a linear block code based on a low-weight sub-trellis can be devised to provide an effective trade-off between error performance and decoding complexity. This chapter presents such a suboptimal decoding algorithm for linear block codes. This decoding algorithm is iterative in nature and based on an optimality test. It has the following important features: (1) a simple method to generate a sequence of candidate code-words, one at a time, for test; (2) a sufficient condition for testing a candidate code-word for optimality; and (3) a low-weight sub-trellis search for finding the most likely (ML) code-word. Lin, Shu and Fossorier, Marc Goddard Space Flight Center NAG5-931; NAG5-2938...



Simplified Trellis Decoding Of Block Codes By Selective Pruning


Simplified Trellis Decoding Of Block Codes By Selective Pruning
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Author : Eric Bertrand
language : en
Publisher:
Release Date : 2004

Simplified Trellis Decoding Of Block Codes By Selective Pruning written by Eric Bertrand and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.


"Error correcting codes are of paramount importance for reliable communications. By adding redundancy to the transmitted data they allow the decoder to detect and correct errors. However in favorable channel conditions, a part of this redundancy can be removed in order to increase throughput. Unfortunately most coding schemes are poorly adapted to these higher coding rates. For example, the decoding of block codes grows exponentially with code length. In this thesis we propose a novel solution to this problem: selective trellis pruning." --



Communications And Cryptography


Communications And Cryptography
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Author : Richard E. Blahut
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Communications And Cryptography written by Richard E. Blahut and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


Information theory is an exceptional field in many ways. Technically, it is one of the rare fields in which mathematical results and insights have led directly to significant engineering payoffs. Professionally, it is a field that has sustained a remarkable degree of community, collegiality and high standards. James L. Massey, whose work in the field is honored here, embodies the highest standards of the profession in his own career. The book covers the latest work on: block coding, convolutional coding, cryptography, and information theory. The 44 contributions represent a cross-section of the world's leading scholars, scientists and researchers in information theory and communication. The book is rounded off with an index and a bibliography of publications by James Massey.