Constrained Coding and Soft Iterative Decoding

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.

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Author: John L. Fan

Publisher: Springer Science & Business Media

ISBN: 9781461515258

Category: Technology & Engineering

Page: 255

View: 252

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.

Encyclopedia of Optical and Photonic Engineering Print Five Volume Set

In practice, the application of the soft iterative decoding in optical data storage systems also requires the design of compatible modulation codes that meet the (d,k) constraint and d.c.-free constraint. In the standard method of ...

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Author: Craig Hoffman

Publisher: CRC Press

ISBN: 9781351247177

Category: Science

Page: 4088

View: 385

The first edition of the Encyclopedia of Optical and Photonic Engineering provided a valuable reference concerning devices or systems that generate, transmit, measure, or detect light, and to a lesser degree, the basic interaction of light and matter. This Second Edition not only reflects the changes in optical and photonic engineering that have occurred since the first edition was published, but also: Boasts a wealth of new material, expanding the encyclopedia’s length by 25 percent Contains extensive updates, with significant revisions made throughout the text Features contributions from engineers and scientists leading the fields of optics and photonics today With the addition of a second editor, the Encyclopedia of Optical and Photonic Engineering, Second Edition offers a balanced and up-to-date look at the fundamentals of a diverse portfolio of technologies and discoveries in areas ranging from x-ray optics to photon entanglement and beyond. This edition’s release corresponds nicely with the United Nations General Assembly’s declaration of 2015 as the International Year of Light, working in tandem to raise awareness about light’s important role in the modern world. Also Available Online This Taylor & Francis encyclopedia is also available through online subscription, offering a variety of extra benefits for researchers, students, and librarians, including: Citation tracking and alerts Active reference linking Saved searches and marked lists HTML and PDF format options Contact Taylor and Francis for more information or to inquire about subscription options and print/online combination packages. US: (Tel) 1.888.318.2367; (E-mail) [email protected] International: (Tel) +44 (0) 20 7017 6062; (E-mail) [email protected]

Symbolic Dynamics and Its Applications

K. ANIM-APPIAH AND S. MCLAUGHLIN, Constrained-input turbo codes for (0,k) RLL channels, CISS Conference, ... [F99] J. FAN, Constrained coding and soft iterative decoding for storage, PhD Dissertation, Stanford University, 1999.

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Author: Susan G. Williams

Publisher: American Mathematical Soc.

ISBN: 9780821831571

Category: Mathematics

Page: 156

View: 525

Symbolic dynamics originated as a tool for analyzing dynamical systems and flows by discretizing space as well as time. The development of information theory gave impetus to the study of symbol sequences as objects in their own right. Today, symbolic dynamics has expanded to encompass multi-dimensional arrays of symbols and has found diverse applications both within and beyond mathematics. This volume is based on the AMS Short Course on Symbolic Dynamics and its Applications. It contains introductory articles on the fundamental ideas of the field and on some of its applications.Topics include the use of symbolic dynamics techniques in coding theory and in complex dynamics, the relation between the theory of multi-dimensional systems and the dynamics of tilings, and strong shift equivalence theory. Contributors to the volume are experts in the field and are clear expositors. The book is suitable for graduate students and research mathematicians interested in symbolic dynamics and its applications.

Advanced Error Control Techniques for Data Storage Systems

This ability of reverse concatenation to use soft information directly from the channel is critical for using constrained codes with ECCs such as Turbo codes and low-density parity-check (LDPC) codes whose iterative decoders rely on ...

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Author: Erozan M. Kurtas

Publisher: CRC Press

ISBN: 9781420036497

Category: Computers

Page: 288

View: 565

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.

Iterative Error Correction

[58] K. Karplus and H. Krit, “A semi-systolic decoder for the PDSC-73 error-correcting code,” Discrete Applied Math, vol. 33, no. 1I3, pp. 109I128, November 1991. [59] J. L. Fan, Constrained Coding and Soft Iterative Decoding, ...

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Author: Sarah J. Johnson

Publisher: Cambridge University Press

ISBN: 9780521871488

Category: Mathematics

Page: 335

View: 959

Presents all of the key ideas needed to understand, design, implement and analyse iterative-based error correction schemes.

The Computer Engineering Handbook

J. Fan , " Constrained coding and soft iterative decoding for storage , ” PhD Dissertation , Stanford University , 1999 . 8. J. Fan and R. Calderbank , “ A modified concatenated coding scheme , with applications to magnetic data storage ...

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Author: Vojin G. Oklobdzija

Publisher: CRC Press

ISBN: 0849308852

Category: Computers

Page: 1408

View: 140

There is arguably no field in greater need of a comprehensive handbook than computer engineering. The unparalleled rate of technological advancement, the explosion of computer applications, and the now-in-progress migration to a wireless world have made it difficult for engineers to keep up with all the developments in specialties outside their own. References published only a few years ago are now sorely out of date. The Computer Engineering Handbook changes all of that. Under the leadership of Vojin Oklobdzija and a stellar editorial board, some of the industry's foremost experts have joined forces to create what promises to be the definitive resource for computer design and engineering. Instead of focusing on basic, introductory material, it forms a comprehensive, state-of-the-art review of the field's most recent achievements, outstanding issues, and future directions. The world of computer engineering is vast and evolving so rapidly that what is cutting-edge today may be obsolete in a few months. While exploring the new developments, trends, and future directions of the field, The Computer Engineering Handbook captures what is fundamental and of lasting value.

Coding for Optical Channels

Finally, we describe how to optimally combine constrained and channel codes, such as reverse concatenation with soft iterative decoding. In Chap.9, we describe free-space optical (FSO) systems that are robust in the presence of ...

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Author: Ivan Djordjevic

Publisher: Springer Science & Business Media

ISBN: 1441955690

Category: Technology & Engineering

Page: 444

View: 421

In order to adapt to the ever-increasing demands of telecommunication needs, today’s network operators are implementing 100 Gb/s per dense wavelength division multiplexing (DWDM) channel transmission. At those data rates, the performance of fiberoptic communication systems is degraded significantly due to intra- and inter-channel fiber nonlinearities, polarization-mode dispersion (PMD), and chromatic dispersion. In order to deal with those channel impairments, novel advanced techniques in modulation and detection, coding and signal processing are needed. This unique book represents a coherent and comprehensive introduction to the fundamentals of optical communications, signal processing and coding for optical channels. It is the first to integrate the fundamentals of coding theory with the fundamentals of optical communication.

Digital Systems and Applications

Constrained coding and soft iterative decoding for storage,” PhD Dissertation, Stanford University, 1999. 8. J. Fan and R. Calderbank, “A modified concatenated coding scheme, with applications to magnetic data storage,” IEEE Trans.

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Author: Vojin G. Oklobdzija

Publisher: CRC Press

ISBN: 9781351838108

Category: Computers

Page: 992

View: 420

New design architectures in computer systems have surpassed industry expectations. Limits, which were once thought of as fundamental, have now been broken. Digital Systems and Applications details these innovations in systems design as well as cutting-edge applications that are emerging to take advantage of the fields increasingly sophisticated capabilities. This book features new chapters on parallelizing iterative heuristics, stream and wireless processors, and lightweight embedded systems. This fundamental text— Provides a clear focus on computer systems, architecture, and applications Takes a top-level view of system organization before moving on to architectural and organizational concepts such as superscalar and vector processor, VLIW architecture, as well as new trends in multithreading and multiprocessing. includes an entire section dedicated to embedded systems and their applications Discusses topics such as digital signal processing applications, circuit implementation aspects, parallel I/O algorithms, and operating systems Concludes with a look at new and future directions in computing Features articles that describe diverse aspects of computer usage and potentials for use Details implementation and performance-enhancing techniques such as branch prediction, register renaming, and virtual memory Includes a section on new directions in computing and their penetration into many new fields and aspects of our daily lives

Turbo Code Applications

J. Fan, Constrained coding and soft iterative decoding, Kluwer Academic Publishers, July 2001. D. Arnold and H. Loeliger, “On the information rate of binary-input channels with memory,” in Proc. ICC2001, Helsinki, Finland, pp.

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Author: Keattisak Sripimanwat

Publisher: Springer Science & Business Media

ISBN: 9781402036859

Category: Technology & Engineering

Page: 386

View: 755

Turbo Code Applications: a journey from a paper to realization presents c- temporary applications of turbo codes in thirteen technical chapters. Each chapter focuses on a particular communication technology utilizing turbo codes, and they are written by experts who have been working in related th areas from around the world. This book is published to celebrate the 10 year anniversary of turbo codes invention by Claude Berrou Alain Glavieux and Punya Thitimajshima (1993-2003). As known for more than a decade, turbo code is the astonishing error control coding scheme which its perf- mance closes to the Shannon’s limit. It has been honored consequently as one of the seventeen great innovations during the ?rst ?fty years of information theory foundation. With the amazing performance compared to that of other existing codes, turbo codes have been adopted into many communication s- tems and incorporated with various modern industrial standards. Numerous research works have been reported from universities and advance companies worldwide. Evidently, it has successfully revolutionized the digital commu- cations. Turbo code and its successors have been applied in most communications startingfromthegroundorterrestrialsystemsofdatastorage,ADSLmodem, and ?ber optic communications. Subsequently, it moves up to the air channel applications by employing to wireless communication systems, and then ?ies up to the space by using in digital video broadcasting and satellite com- nications. Undoubtedly, with the excellent error correction potential, it has been selected to support data transmission in space exploring system as well.

Tractability

[9] Fan, J. L. 2000. Array codes as low-density parity-check codes. Pages 195–203 of: Constrained Coding and Soft Iterative Decoding, Springer International Series in Engineering and Computer Science, 621. [10] Fossorier, M.P.C. 2004.

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Author: Lucas Bordeaux

Publisher: Cambridge University Press

ISBN: 9781107729223

Category: Computers

Page: 400

View: 262

Classical computer science textbooks tell us that some problems are 'hard'. Yet many areas, from machine learning and computer vision to theorem proving and software verification, have defined their own set of tools for effectively solving complex problems. Tractability provides an overview of these different techniques, and of the fundamental concepts and properties used to tame intractability. This book will help you understand what to do when facing a hard computational problem. Can the problem be modelled by convex, or submodular functions? Will the instances arising in practice be of low treewidth, or exhibit another specific graph structure that makes them easy? Is it acceptable to use scalable, but approximate algorithms? A wide range of approaches is presented through self-contained chapters written by authoritative researchers on each topic. As a reference on a core problem in computer science, this book will appeal to theoreticians and practitioners alike.

Low density Parity check Codes and Iterative Decoding Algorithms for Input constrained Channels and Channels with Memory

to satisfy the channel input constraint . The decoder's task is to optimally decode this concatenated LDPC / constrained code . This task required that soft decoding as well as the soft information exchange between the constrained code ...

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Author: Wongkot Vijacksungsithi

Publisher:

ISBN: UOM:39015056500286

Category:

Page:

View: 816

High Throughput VLSI Architectures for Iterative Decoders

J. Fan and J. Cioffi , “ Constrained coding techniques for soft iterative decoders , ” GLOBECOM , 1999 , vol . 16 , pp . 723–727 . . 37. J. Fan , “ Constrained coding and soft iterative decoding for storage , " Dissertation for PhD ...

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Author: Engling Yeo

Publisher:

ISBN: UCAL:C3487796

Category:

Page: 312

View: 605

Selected Areas in Cryptography SAC 2018

Cryptology ePrint Archive, Report 2013/383 (2013) Fan, J.: Constrained Coding and Soft Iterative Decoding. The Springer International Series in Engineering and Computer Science. Springer, Heidelberg (2012) Fujisaki, E., Okamoto, ...

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Author: Carlos Cid

Publisher: Springer

ISBN: 9783030109707

Category: Computers

Page: 499

View: 334

This book contains revised selected papers from the 25th International Conference on Selected Areas in Cryptography, SAC 2018, held in Calgary, AB, Canada in August 2018. The 22 full papers presented in this volume were carefully reviewed and selected from 57 submissions. They cover the following research areas: design and analysis of symmetric key primitives and cryptosystems, including block and stream ciphers, hash functions, MAC algorithms, and authenticated encryption schemes efficient implementations of symmetric and public key algorithms mathematical and algorithmic aspects of applied cryptology cryptography for the Internet of Things

GLOBECOM 99

CONSTRAINED CODING TECHNIQUES FOR SOFT ITERATIVE DECODERS JOHN L. FAN * and JOHN M. CIOFFI Department of Electrical ... specifying a minimum sepSoft iterative decoding of turbo codes and low - density aration d between transitions that ...

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Author: IEEE Communications Society Staff

Publisher:

ISBN: 0780357973

Category: Artificial satellites in telecommunication

Page: 2805

View: 730

Conference Record

CONSTRAINED CODING TECHNIQUES FOR SOFT ITERATIVE DECODERS JOHN L. FAN * and JOHN M. CIOFFI Department of ... specifying a minimum sepSoft iterative decoding of turbo codes and low - density aration d between transitions ( that can be ...

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Author:

Publisher:

ISBN: UIUC:30112050724282

Category: Data transmission systems

Page:

View: 619

Distributed Iterative Decoding and Estimation Via Expectation Propagation

[ 85 ] Y. Kou , S. Lin , and M. P. C. Fossorier , “ Low - density parity - check codes based on finite geometries : A rediscovery and new results ... Kluwer Academic [ 89 ] J. Fan , Constrained coding and soft iterative decoding .

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Author: John MacLaren Walsh

Publisher:

ISBN: CORNELL:31924105483980

Category:

Page: 306

View: 143

This dissertation discusses the performance and convergence of a family of algorithms for distributed iterative approximate statistical inference called expectation propagation algorithms [1, 2]. Notable examples of expectation propagation include the turbo decoder [3, 4, 5, 6, 7], Gallager's algorithm for the soft decoding of LDPC codes[8, 9, 10], the Kalman filter [11], the forward backward algorithm[12], and belief propagation [13, 14]. These algorithms were heuristically proposed and neither their convergence behavior nor the mechanism behind their good performance is well understood. After covering special cases in which the algorithms can be shown to converge to the optimal values, we provide a novel performance framework which shows that the stationary points of the expectation propagation algorithms solve a constrained maximum likelihood optimization problem. We also show that the stationary points of expectation propagation are critical points of a constrained statistics based Bethe free energy. We then discuss duality and the relationship between the two generic optimality frameworks. Continuing on, we next study the mechanism of convergence behind expectation propagation, and discover that it may be interpreted both as a nonlinear block Gauss Seidel method [15, 16], on the gradient of the Lagrangian as well as a variant of Dykstra's algorithm [17] with iterated Bregman projections[18]. Some limited convergence results are provided via the nonlinear block Gauss Seidel interpretation. Throughout the dissertation, we take care to apply the abstract theory to particular well known members of the expectation propagation family, most notably the belief propagation decoder and the turbo decoder. The dissertation concludes with a discussion of several avenues that the work therein has opened up for further research.

Dissertation Abstracts International

Majority - based and hybrid iterative decoding of low - density parity - check codes . ... voice interaction motivates the development of two novel beamforming algorithms : ( i ) a constrained switched adaptive beamforming algorithm ...

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Author:

Publisher:

ISBN: STANFORD:36105121673201

Category: Dissertations, Academic

Page:

View: 397

Multiple Classifier Systems

By preserving native coding structures in component subcodes and allowing some degree of randomness, recursive codes permit crucial but efficient soft iterative decoding algorithms to be used. In ECOC learning terms, soft iterative ...

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Author: Terry Windeatt

Publisher: Springer

ISBN: 9783540449386

Category: Business & Economics

Page: 414

View: 468

The refereed proceedings of the 4th International Workshop on Multiple Classifier Systems, MCS 2003, held in Guildford, UK in June 2003. The 40 revised full papers presented with one invited paper were carefully reviewed and selected for presentation. The papers are organized in topical sections on boosting, combination rules, multi-class methods, fusion schemes and architectures, neural network ensembles, ensemble strategies, and applications

ICC 2004

2578 2584 SP07 — Coding Signal Processors Tuesday , 22 June 2004—14 : 30-17 : 30 SP07-1 Low - Density Parity - Check ... University of Limoges , France SP07-3 VLSI Architectures for Soft - Decision Decoding of Reed - Solomon Codes Ahmed ...

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Author: Institute of electrical and electronics engineers

Publisher:

ISBN: 0780385330

Category: Telecommunication

Page:

View: 618