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On The Conventional And Tail Biting Trellis Representation Of Block Codes


On The Conventional And Tail Biting Trellis Representation Of Block Codes
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On The Conventional And Tail Biting Trellis Representation Of Block Codes


On The Conventional And Tail Biting Trellis Representation Of Block Codes
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Author : Yaron Shany
language : en
Publisher:
Release Date : 2003

On The Conventional And Tail Biting Trellis Representation Of Block Codes written by Yaron Shany and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Coding theory categories.




Tail Biting Trellis Representation Of Codes


Tail Biting Trellis Representation Of Codes
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Author : National Aeronautics and Space Adm Nasa
language : en
Publisher:
Release Date : 2018-09-21

Tail Biting Trellis Representation Of Codes written by National Aeronautics and Space Adm Nasa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-21 with categories.


This paper presents two new iterative algorithms for decoding linear codes based on their tail biting trellises, one is unidirectional and the other is bidirectional. Both algorithms are computationally efficient and achieves virtually optimum error performance with a small number of decoding iterations. They outperform all the previous suboptimal decoding algorithms. The bidirectional algorithm also reduces decoding delay. Also presented in the paper is a method for constructing tail biting trellises for linear block codes.Shao. Rose Y. and Lin, Shu and Fossorier, MarcGoddard Space Flight CenterALGORITHMS; APPLICATIONS PROGRAMS (COMPUTERS); TRELLIS CODING; MATHEMATICAL MODELS; VITERBI DECODERS; COMPUTERIZED SIMULATION; FLOW CHARTS; ITERATION; BLOCK DIAGRAMS; MATRICES (MATHEMATICS); CONVOLUTION INTEGRALS...



Information Coding And Mathematics


Information Coding And Mathematics
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Author : Mario Blaum
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Information Coding And Mathematics written by Mario Blaum 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 2013-03-09 with Technology & Engineering categories.


Information, Coding and Mathematics is a classic reference for both professional and academic researchers working in error-correction coding and decoding, Shannon theory, cryptography, digital communications, information security, and electronic engineering. The work represents a collection of contributions from leading experts in turbo coding, cryptography and sequences, Shannon theory and coding bounds, and decoding theory and applications. All of the contributors have individually and collectively dedicated their work as a tribute to the outstanding work of Robert J. McEliece. Information, Coding and Mathematics covers the latest advances in the widely used and rapidly developing field of information and communication technology.



Mathematics In Berlin


Mathematics In Berlin
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Author : Heinrich Begehr
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-07-21

Mathematics In Berlin written by Heinrich Begehr 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 1998-07-21 with Mathematics categories.


This little book is conceived as a service to mathematicians attending the 1998 International Congress of Mathematicians in Berlin. It presents a comprehensive, condensed overview of mathematical activity in Berlin, from Leibniz almost to the present day (without, however, including biographies of living mathematicians). Since many towering figures in mathematical history worked in Berlin, most of the chapters of this book are concise biographies. These are held together by a few survey articles presenting the overall development of entire periods of scientific life at Berlin. Overlaps between various chapters and differences in style between the chap ters were inevitable, but sometimes this provided opportunities to show different aspects of a single historical event - for instance, the Kronecker-Weierstrass con troversy. The book aims at readability rather than scholarly completeness. There are no footnotes, only references to the individual bibliographies of each chapter. Still, we do hope that the texts brought together here, and written by the various authors for this volume, constitute a solid introduction to the history of Berlin mathematics.



Implementation And Application Of Automata


Implementation And Application Of Automata
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Author : Sheng Yu
language : en
Publisher: Springer
Release Date : 2003-06-29

Implementation And Application Of Automata written by Sheng Yu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-29 with Computers categories.


The Fifth International Conference on Implementation and Application of - tomata (CIAA 2000) was held at the University of Western Ontario in London, Ontario, Canada on July 24-25, 2000. This conference series was formerly called the International Workshop on Implementing Automata (WIA) This volume of the Lecture Notes in Computer Science series contains all the papers that were presented at CIAA 2000, and also the abstracts of the poster papers that were displayed during the conference. The conference addressed issues in automata application and implemen- tion. The topics of the papers presented at this conference ranged from automata applications in software engineering, natural language and speech recognition, and image processing, to new representations and algorithms for e cient imp- mentation of automata and related structures. Automata theory is one of the oldest areas in computer science. Research in automata theory has always been motivated by its applications since its early stages of development. In the 1960s and 1970s, automata research was moti- ted heavily by problems arising from compiler construction, circuit design, string matching, etc. In recent years, many new applications have been found in various areas of computer science as well as in other disciplines. Examples of the new applications include statecharts in object-oriented modeling, nite transducers in natural language processing, and nondeterministic nite-state models in c- munication protocols. Many of the new applications do not and cannot simply apply the existing models and algorithms in automata theory to their problems.



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...



Automata Languages And Programming


Automata Languages And Programming
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Author : Fernando Orejas
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-06-27

Automata Languages And Programming written by Fernando Orejas 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 2001-06-27 with Computers categories.


This book constitutes the refereed proceedings of the 28th International Colloquium on Automata, Languages and Programming, ICALP 2001, held in Crete, Greece in July 2001. The 80 revised papers presented together with two keynote contributions and four invited papers were carefully reviewed and selected from a total of 208 submissions. The papers are organized in topical sections on algebraic and circuit complexity, algorithm analysis, approximation and optimization, complexity, concurrency, efficient data structures, graph algorithms, language theory, codes and automata, model checking and protocol analysis, networks and routing, reasoning and verification, scheduling, secure computation, specification and deduction, and structural complexity.



Codes Curves And Signals


Codes Curves And Signals
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Author : Alexander Vardy
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Codes Curves And Signals written by Alexander Vardy 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.


Codes, Curves, and Signals: Common Threads in Communications is a collection of seventeen contributions from leading researchers in communications. The book provides a representative cross-section of cutting edge contemporary research in the fields of algebraic curves and the associated decoding algorithms, the use of signal processing techniques in coding theory, and the application of information-theoretic methods in communications and signal processing. The book is organized into three parts: Curves and Codes, Codes and Signals, and Signals and Information. Codes, Curves, and Signals: Common Threads in Communications is a tribute to the broad and profound influence of Richard E. Blahut on the fields of algebraic coding, information theory, and digital signal processing. All the contributors have individually and collectively dedicated their work to R. E. Blahut. Codes, Curves, and Signals: Common Threads in Communications is an excellent reference for researchers and professionals.



Coding Communications And Broadcasting


Coding Communications And Broadcasting
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Author : Mike Darnell
language : en
Publisher: Research Studies Press Limited
Release Date : 2000

Coding Communications And Broadcasting written by Mike Darnell and has been published by Research Studies Press Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.


This text consists of chapters on recent research topics in three important and related areas of digital communication theory and practice: coding for error control, communication systems and techniques, and digital broadcasting with emphasis on operation below 30MHz. All the chapters are updated, expanded and edited versions of presentations made by international researchers from academia and industry at the International Symposium on Communication Theory and Applications, held in July 1999 at Ambleside, Cumbria. The section on coding contains results on turbo and low density parity check codes, on iterative and low complexity decoding, on source coding and cryptography, and on some additional related topics. Highlights of the section on communication systems include chapters on equalization, image transmission, sequence design and synchronization. Finally, the chapters in the section on broadcasting describe the possibilities for development at transmission frequencies below 30MHz, and also include a review of current and future developments in digital video broadcasting.



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.