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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Book Description
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...

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

Get Book Here

Book Description
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...

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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Book Description


Trellis and Turbo Coding

Trellis and Turbo Coding PDF Author: Christian B. Schlegel
Publisher: John Wiley & Sons
ISBN: 111910632X
Category : Science
Languages : en
Pages : 518

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Book Description
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

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.

Codes, Graphs, and Systems

Codes, Graphs, and Systems PDF Author: Richard E. Blahut
Publisher: Springer Science & Business Media
ISBN: 1461508959
Category : Technology & Engineering
Languages : en
Pages : 458

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Book Description
Foreword by James L. Massey. Codes, Graphs, and Systems is an excellent reference for both academic researchers and professional engineers working in the fields of communications and signal processing. A collection of contributions from world-renowned experts in coding theory, information theory, and signal processing, the book provides a broad perspective on contemporary research in these areas. Survey articles are also included. Specific topics covered include convolutional codes and turbo codes; detection and equalization; modems; physics and information theory; lattices and geometry; and behaviors and codes on graphs. Codes, Graphs, and Systems is a tribute to the leadership and profound influence of G. David Forney, Jr. The 35 contributors to the volume have assembled their work in his honor.

On Low-density Parity-check Convolutional Codes

On Low-density Parity-check Convolutional Codes PDF Author: Marcos Bruno Saldanha Tavares
Publisher: Jörg Vogt Verlag
ISBN: 3938860383
Category :
Languages : en
Pages : 238

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Book Description


Error-Correction Coding and Decoding

Error-Correction Coding and Decoding PDF Author: Martin Tomlinson
Publisher: Springer
ISBN: 3319511033
Category : Technology & Engineering
Languages : en
Pages : 527

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Book Description
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.

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.

Decoding of Linear Codes Based on Their Tail Biting Trellises and Efficient Stopping Criteria for Turbo Decoding

Decoding of Linear Codes Based on Their Tail Biting Trellises and Efficient Stopping Criteria for Turbo Decoding PDF Author: Yi Shao
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 398

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Book Description


Error Correction Coding

Error Correction Coding PDF Author: Todd K. Moon
Publisher: John Wiley & Sons
ISBN: 1119567483
Category : Computers
Languages : en
Pages : 992

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Book Description
Providing in-depth treatment of error correction Error Correction Coding: Mathematical Methods and Algorithms, 2nd Edition provides a comprehensive introduction to classical and modern methods of error correction. The presentation provides a clear, practical introduction to using a lab-oriented approach. Readers are encouraged to implement the encoding and decoding algorithms with explicit algorithm statements and the mathematics used in error correction, balanced with an algorithmic development on how to actually do the encoding and decoding. Both block and stream (convolutional) codes are discussed, and the mathematics required to understand them are introduced on a “just-in-time” basis as the reader progresses through the book. The second edition increases the impact and reach of the book, updating it to discuss recent important technological advances. New material includes: Extensive coverage of LDPC codes, including a variety of decoding algorithms. A comprehensive introduction to polar codes, including systematic encoding/decoding and list decoding. An introduction to fountain codes. Modern applications to systems such as HDTV, DVBT2, and cell phones Error Correction Coding includes extensive program files (for example, C++ code for all LDPC decoders and polar code decoders), laboratory materials for students to implement algorithms, and an updated solutions manual, all of which are perfect to help the reader understand and retain the content. The book covers classical BCH, Reed Solomon, Golay, Reed Muller, Hamming, and convolutional codes which are still component codes in virtually every modern communication system. There are also fulsome discussions of recently developed polar codes and fountain codes that serve to educate the reader on the newest developments in error correction.