On the Conventional and Tail-biting Trellis Representation of Block Codes

On the Conventional and Tail-biting Trellis Representation of Block Codes PDF Author: Yaron Shany
Publisher:
ISBN:
Category : Coding theory
Languages : en
Pages : 212

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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 PDF Author: Yaron Shany
Publisher:
ISBN:
Category : Coding theory
Languages : en
Pages : 212

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Tail Biting Trellis Representation of Codes

Tail Biting Trellis Representation of Codes PDF Author: National Aeronautics and Space Adm Nasa
Publisher:
ISBN: 9781723892349
Category :
Languages : en
Pages : 52

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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 PDF Author: Mario Blaum
Publisher: Springer Science & Business Media
ISBN: 1475735855
Category : Technology & Engineering
Languages : en
Pages : 380

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Book Description
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.

Implementation and Application of Automata

Implementation and Application of Automata PDF Author: Sheng Yu
Publisher: Springer
ISBN: 3540446745
Category : Computers
Languages : en
Pages : 353

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Book Description
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.

Mathematics in Berlin

Mathematics in Berlin PDF Author: Heinrich Begehr
Publisher: Springer Science & Business Media
ISBN: 9783764359430
Category : Mathematics
Languages : en
Pages : 1840

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Book Description
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.

Automata, Languages and Programming

Automata, Languages and Programming PDF Author: Fernando Orejas
Publisher: Springer Science & Business Media
ISBN: 3540422870
Category : Computers
Languages : en
Pages : 1098

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Book Description
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 PDF Author: Alexander Vardy
Publisher: Springer Science & Business Media
ISBN: 1461551218
Category : Technology & Engineering
Languages : en
Pages : 265

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Book Description
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 PDF Author: Mike Darnell
Publisher: Research Studies Press Limited
ISBN:
Category : Computers
Languages : en
Pages : 450

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Book Description
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 PDF Author: National Aeronautics and Space Adm Nasa
Publisher: Independently Published
ISBN: 9781728906249
Category : Science
Languages : en
Pages : 26

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Book Description
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

Coding for Wireless Channels

Coding for Wireless Channels PDF Author: Ezio Biglieri
Publisher: Springer Science & Business Media
ISBN: 1402080840
Category : Technology & Engineering
Languages : en
Pages : 433

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Book Description
Accessible introduction to the theoretical foundations of modern coding theory Including numerous applications to wireless transmission systems The author is famous in the field of coding and wireless communications for his work in the area of faded channels & communcations.