Iterative Decoding Of Codes On Graphs

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Fundamentals of Codes, Graphs, and Iterative Decoding

Author : Stephen B. Wicker
Publisher : Springer Science & Business Media
ISBN 13 : 1402072643
Total Pages : 241 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Fundamentals of Codes, Graphs, and Iterative Decoding by : Stephen B. Wicker

Download or read book Fundamentals of Codes, Graphs, and Iterative Decoding written by Stephen B. Wicker and published by Springer Science & Business Media. This book was released on 2002-10-31 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Codes, Graphs, and Iterative Decoding is an explanation of how to introduce local connectivity, and how to exploit simple structural descriptions. Chapter 1 provides an overview of Shannon theory and the basic tools of complexity theory, communication theory, and bounds on code construction. Chapters 2 - 4 provide an overview of "classical" error control coding, with an introduction to abstract algebra, and block and convolutional codes. Chapters 5 - 9 then proceed to systematically develop the key research results of the 1990s and early 2000s with an introduction to graph theory, followed by chapters on algorithms on graphs, turbo error control, low density parity check codes, and low density generator codes.

Fundamentals of Codes, Graphs, and Iterative Decoding

Author : Stephen B. Wicker
Publisher : Springer Science & Business Media
ISBN 13 : 0306477947
Total Pages : 241 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Fundamentals of Codes, Graphs, and Iterative Decoding by : Stephen B. Wicker

Download or read book Fundamentals of Codes, Graphs, and Iterative Decoding written by Stephen B. Wicker and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Codes, Graphs, and Iterative Decoding is an explanation of how to introduce local connectivity, and how to exploit simple structural descriptions. Chapter 1 provides an overview of Shannon theory and the basic tools of complexity theory, communication theory, and bounds on code construction. Chapters 2 - 4 provide an overview of "classical" error control coding, with an introduction to abstract algebra, and block and convolutional codes. Chapters 5 - 9 then proceed to systematically develop the key research results of the 1990s and early 2000s with an introduction to graph theory, followed by chapters on algorithms on graphs, turbo error control, low density parity check codes, and low density generator codes.

Constrained Coding and Soft Iterative Decoding

Author : John L. Fan
Publisher : Springer Science & Business Media
ISBN 13 : 1461515254
Total Pages : 268 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Constrained Coding and Soft Iterative Decoding by : John L. Fan

Download or read book Constrained Coding and Soft Iterative Decoding written by John L. Fan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constrained Coding and Soft Iterative Decoding is the first work to combine the issues of constrained coding and soft iterative decoding (e.g., turbo and LDPC codes) from a unified point of view. Since constrained coding is widely used in magnetic and optical storage, it is necessary to use some special techniques (modified concatenation scheme or bit insertion) in order to apply soft iterative decoding. Recent breakthroughs in the design and decoding of error-control codes (ECCs) show significant potential for improving the performance of many communications systems. ECCs such as turbo codes and low-density parity check (LDPC) codes can be represented by graphs and decoded by passing probabilistic (a.k.a. `soft') messages along the edges of the graph. This message-passing algorithm yields powerful decoders whose performance can approach the theoretical limits on capacity. This exposition uses `normal graphs,' introduced by Forney, which extend in a natural manner to block diagram representations of the system and provide a simple unified framework for the decoding of ECCs, constrained codes, and channels with memory. Soft iterative decoding is illustrated by the application of turbo codes and LDPC codes to magnetic recording channels. For magnetic and optical storage, an issue arises in the use of constrained coding, which places restrictions on the sequences that can be transmitted through the channel; the use of constrained coding in combination with soft ECC decoders is addressed by the modified concatenation scheme also known as `reverse concatenation.' Moreover, a soft constraint decoder yields additional coding gain from the redundancy in the constraint, which may be of practical interest in the case of optical storage. In addition, this monograph presents several other research results (including the design of sliding-block lossless compression codes, and the decoding of array codes as LDPC codes). Constrained Coding and Soft Iterative Decoding will prove useful to students, researchers and professional engineers who are interested in understanding this new soft iterative decoding paradigm and applying it in communications and storage systems.

Codes, Systems, and Graphical Models

Author : Brian Marcus
Publisher : Springer Science & Business Media
ISBN 13 : 1461301653
Total Pages : 520 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Codes, Systems, and Graphical Models by : Brian Marcus

Download or read book Codes, Systems, and Graphical Models written by Brian Marcus and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coding theory, system theory, and symbolic dynamics have much in common. A major new theme in this area of research is that of codes and systems based on graphical models. This volume contains survey and research articles from leading researchers at the interface of these subjects.

Turbo-like Codes

Author : Aliazam Abbasfar
Publisher : Springer Science & Business Media
ISBN 13 : 1402063911
Total Pages : 94 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Turbo-like Codes by : Aliazam Abbasfar

Download or read book Turbo-like Codes written by Aliazam Abbasfar and published by Springer Science & Business Media. This book was released on 2007-09-09 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces turbo error correcting concept in a simple language, including a general theory and the algorithms for decoding turbo-like code. It presents a unified framework for the design and analysis of turbo codes and LDPC codes and their decoding algorithms. A major focus is on high speed turbo decoding, which targets applications with data rates of several hundred million bits per second (Mbps).

Coding and Signal Processing for Magnetic Recording Systems

Author : Bane Vasic
Publisher : CRC Press
ISBN 13 : 0203490312
Total Pages : 742 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis Coding and Signal Processing for Magnetic Recording Systems by : Bane Vasic

Download or read book Coding and Signal Processing for Magnetic Recording Systems written by Bane Vasic and published by CRC Press. This book was released on 2004-11-09 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: Implementing new architectures and designs for the magnetic recording read channel have been pushed to the limits of modern integrated circuit manufacturing technology. This book reviews advanced coding and signal processing techniques and architectures for magnetic recording systems. Beginning with the basic principles, it examines read/write operations, data organization, head positioning, sensing, timing recovery, data detection, and error correction. It also provides an in-depth treatment of all recording channel subsystems inside a read channel and hard disk drive controller. The final section reviews new trends in coding, particularly emerging codes for recording channels.

Coding Theory and Applications

Author : Angela Barbero
Publisher : Springer
ISBN 13 : 3540874488
Total Pages : 204 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Coding Theory and Applications by : Angela Barbero

Download or read book Coding Theory and Applications written by Angela Barbero and published by Springer. This book was released on 2008-08-26 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is a pleasure to welcome you to the proceedings of the second International Castle Meeting on Coding Theory and its Applications, held at La Mota Castle in Medina del Campo. The event provided a forum for the exchange of results and ideas, which we hope will foster future collaboration. The ?rst meeting was held in 1999, and, encouraged by that experience, we now intend to hold the meeting every three years. Springer kindly accepted to publish the proceedings volume you have in your hands in their LNCS series. The topics were selected to cover some of the areas of research in Coding Theory that are currently receiving the most attention. The program consisted of a mixture of invited and submitted talks, with the focus on quality rather than quantity. A total of 34 papers were submitted to themeeting.Afteracarefulreviewprocessconductedbythescienti?ccommittee aided by external reviewers, we selected 14 of these for inclusion in the current volume, along with 5 invited papers. The program was further augmented by the remaining invited papers in addition to papers on recent results, printed in a separate volume. We would like to thank everyone who made this meeting possible by helping with the practical and scienti?c preparations: the organization committee, the scienti?c committee, the invited speakers, and the many external reviewers who shall remain anonymous. I would especially like to mention the General Advisor ofthe meeting, ØyvindYtrehus.Finally Iextend mygratitudeto allthe authors and participants who contributed to this meeting.

Concise Encyclopedia of Coding Theory

Author : W. Cary Huffman
Publisher : CRC Press
ISBN 13 : 1351375105
Total Pages : 998 pages
Book Rating : 4.3/5 (513 download)

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Book Synopsis Concise Encyclopedia of Coding Theory by : W. Cary Huffman

Download or read book Concise Encyclopedia of Coding Theory written by W. Cary Huffman and published by CRC Press. This book was released on 2021-03-26 with total page 998 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most coding theory experts date the origin of the subject with the 1948 publication of A Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has grown into a discipline with many practical applications (antennas, networks, memories), requiring various mathematical techniques, from commutative algebra, to semi-definite programming, to algebraic geometry. Most topics covered in the Concise Encyclopedia of Coding Theory are presented in short sections at an introductory level and progress from basic to advanced level, with definitions, examples, and many references. The book is divided into three parts: Part I fundamentals: cyclic codes, skew cyclic codes, quasi-cyclic codes, self-dual codes, codes and designs, codes over rings, convolutional codes, performance bounds Part II families: AG codes, group algebra codes, few-weight codes, Boolean function codes, codes over graphs Part III applications: alternative metrics, algorithmic techniques, interpolation decoding, pseudo-random sequences, lattices, quantum coding, space-time codes, network coding, distributed storage, secret-sharing, and code-based-cryptography. Features Suitable for students and researchers in a wide range of mathematical disciplines Contains many examples and references Most topics take the reader to the frontiers of research

Complexity Aspects in Near Capacity MIMO Detection Decoding

Author : Ernesto Zimmermann
Publisher : Jörg Vogt Verlag
ISBN 13 : 393886009X
Total Pages : 207 pages
Book Rating : 4.9/5 (388 download)

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Book Synopsis Complexity Aspects in Near Capacity MIMO Detection Decoding by : Ernesto Zimmermann

Download or read book Complexity Aspects in Near Capacity MIMO Detection Decoding written by Ernesto Zimmermann and published by Jörg Vogt Verlag. This book was released on 2007 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Conference Record

Author : Johannes Huber (Prof. Dr.-Ing.)
Publisher : Margret Schneider
ISBN 13 : 3800728028
Total Pages : 487 pages
Book Rating : 4.8/5 (7 download)

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Book Synopsis Conference Record by : Johannes Huber (Prof. Dr.-Ing.)

Download or read book Conference Record written by Johannes Huber (Prof. Dr.-Ing.) and published by Margret Schneider. This book was released on 2004 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Coding Theory and Information Theory

Author : Alexei Ashikhmin
Publisher : American Mathematical Soc.
ISBN 13 : 0821836269
Total Pages : 192 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebraic Coding Theory and Information Theory by : Alexei Ashikhmin

Download or read book Algebraic Coding Theory and Information Theory written by Alexei Ashikhmin and published by American Mathematical Soc.. This book was released on 2005 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these papers associated with the workshop of December 2003, contributors describe their work in fountain codes for lossless data compression, an application of coding theory to universal lossless source coding performance bounds, expander graphs and codes, multilevel expander codes, low parity check lattices, sparse factor graph representations of Reed-Solomon and related codes. Interpolation multiplicity assignment algorithms for algebraic soft- decision decoding of Reed-Solomon codes, the capacity of two- dimensional weight-constrained memories, networks of two-way channels, and a new approach to the design of digital communication systems. Annotation :2005 Book News, Inc., Portland, OR (booknews.com).

Cryptography and Coding

Author : Michael Walker
Publisher : Springer Science & Business Media
ISBN 13 : 354066887X
Total Pages : 323 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Cryptography and Coding by : Michael Walker

Download or read book Cryptography and Coding written by Michael Walker and published by Springer Science & Business Media. This book was released on 1999-12-08 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th IMA Conference on Cryptography and Coding held in Cirencester, UK, in December 1999. The 35 revised full papers presented were carefully reviewed and selected for inclusion in the proceedings. Among the topics covered are error-correcting coding, arithmetic coding for data compression and encryption, image coding, biometric authentication, broadcast channel access, graph and trellis decoding, turbo codes, convolution codes, Reed Solomon codes, elliptic curve cryptography, primality testing, finite-field arithmetic, and cryptographic protocols.

Iterative Error Correction

Author : Sarah J. Johnson
Publisher : Cambridge University Press
ISBN 13 : 0521871484
Total Pages : 356 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Iterative Error Correction by : Sarah J. Johnson

Download or read book Iterative Error Correction written by Sarah J. Johnson and published by Cambridge University Press. This book was released on 2010 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents all of the key ideas needed to understand, design, implement and analyse iterative-based error correction schemes.

Advanced Error Control Techniques for Data Storage Systems

Author : Erozan M. Kurtas
Publisher : CRC Press
ISBN 13 : 1420036491
Total Pages : 288 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Advanced Error Control Techniques for Data Storage Systems by : Erozan M. Kurtas

Download or read book Advanced Error Control Techniques for Data Storage Systems written by Erozan M. Kurtas and published by CRC Press. This book was released on 2018-10-03 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the massive amount of data produced and stored each year, reliable storage and retrieval of information is more crucial than ever. Robust coding and decoding techniques are critical for correcting errors and maintaining data integrity. Comprising chapters thoughtfully selected from the highly popular Coding and Signal Processing for Magnetic Recording Systems, Advanced Error Control Techniques for Data Storage Systems is a finely focused reference to the state-of-the-art error control and modulation techniques used in storage devices. The book begins with an introduction to error control codes, explaining the theory and basic concepts underlying the codes. Building on these concepts, the discussion turns to modulation codes, paying special attention to run-length limited sequences, followed by maximum transition run (MTR) and spectrum shaping codes. It examines the relationship between constrained codes and error control and correction systems from both code-design and architectural perspectives as well as techniques based on convolution codes. With a focus on increasing data density, the book also explores multi-track systems, soft decision decoding, and iteratively decodable codes such as Low-Density Parity-Check (LDPC) Codes, Turbo codes, and Turbo Product Codes. Advanced Error Control Techniques for Data Storage Systems offers a comprehensive collection of theory and techniques that is ideal for specialists working in the field of data storage systems.

Delay and Disruption Tolerant Networks

Author : Aloizio Pereira da Silva
Publisher : CRC Press
ISBN 13 : 1351984225
Total Pages : 487 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Delay and Disruption Tolerant Networks by : Aloizio Pereira da Silva

Download or read book Delay and Disruption Tolerant Networks written by Aloizio Pereira da Silva and published by CRC Press. This book was released on 2018-09-04 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Delay- and Disruption Tolerant Networks (DTNs) are networks subject to arbitrarily long-lived disruptions in connectivity and therefore cannot guarantee end-to-end connectivity at all times. Consequently DTNs called for novel core networking protocols since most existing Internet protocols rely on the network’s ability to maintain end-to-end communication between participating nodes. This book presents the fundamental principles that underline DTNs. It explains the state-of-the-art on DTNs, their architecture, protocols, and applications. It also explores DTN’s future technological trends and applications. Its main goal is to serve as a reference for researchers and practitioners.

Trellis and Turbo Coding

Author : Christian B. Schlegel
Publisher : John Wiley & Sons
ISBN 13 : 1118083164
Total Pages : 518 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Trellis and Turbo Coding by : Christian B. Schlegel

Download or read book Trellis and Turbo Coding written by Christian B. Schlegel and published by John Wiley & Sons. This book was released on 2015-10-12 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, Graphs, and Systems

Author : Richard E. Blahut
Publisher : Springer Science & Business Media
ISBN 13 : 1461508959
Total Pages : 458 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Codes, Graphs, and Systems by : Richard E. Blahut

Download or read book Codes, Graphs, and Systems written by Richard E. Blahut and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.