Analysis of Finite-length Low-density Parity-check Codes
Author: Chenying Wang
Publisher:
Published: 2010
Total Pages: 71
ISBN-13:
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Author: Chenying Wang
Publisher:
Published: 2010
Total Pages: 71
ISBN-13:
DOWNLOAD EBOOKAuthor: Changyan Di
Publisher:
Published: 2004
Total Pages: 115
ISBN-13:
DOWNLOAD EBOOKAuthor: Keqin Feng
Publisher: Birkhäuser
Published: 2012-12-06
Total Pages: 403
ISBN-13: 3034878656
DOWNLOAD EBOOKIt has long been recognized that there are fascinating connections between cod ing theory, cryptology, and combinatorics. Therefore it seemed desirable to us to organize a conference that brings together experts from these three areas for a fruitful exchange of ideas. We decided on a venue in the Huang Shan (Yellow Mountain) region, one of the most scenic areas of China, so as to provide the additional inducement of an attractive location. The conference was planned for June 2003 with the official title Workshop on Coding, Cryptography and Combi natorics (CCC 2003). Those who are familiar with events in East Asia in the first half of 2003 can guess what happened in the end, namely the conference had to be cancelled in the interest of the health of the participants. The SARS epidemic posed too serious a threat. At the time of the cancellation, the organization of the conference was at an advanced stage: all invited speakers had been selected and all abstracts of contributed talks had been screened by the program committee. Thus, it was de cided to call on all invited speakers and presenters of accepted contributed talks to submit their manuscripts for publication in the present volume. Altogether, 39 submissions were received and subjected to another round of refereeing. After care ful scrutiny, 28 papers were accepted for publication.
Author: Hua Xiao
Publisher:
Published: 2008
Total Pages:
ISBN-13: 9780494405437
DOWNLOAD EBOOKAuthor: Martin Tomlinson
Publisher: Springer
Published: 2017-02-21
Total Pages: 527
ISBN-13: 3319511033
DOWNLOAD EBOOKThis 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.
Author: Yu Kou
Publisher:
Published: 2001
Total Pages: 366
ISBN-13:
DOWNLOAD EBOOKAuthor: Jeongseok Ha Ha
Publisher:
Published: 2003
Total Pages:
ISBN-13:
DOWNLOAD EBOOKIn this thesis, we extend applications of Low-Density Parity-Check (LDPC) codes to a combination of constituent sub-channels, which is a mixture of Gaussian channels with erasures. This model, for example, represents a common channel in magnetic recordings where thermal asperities in the system are detected and represented at the decoder as erasures. Although this channel is practically useful, we cannot find any previous work that evaluates performance of LDPC codes over this channel. We are also interested in practical issues such as designing robust LDPC codes for the mixture channel and predicting performance variations due to erasure patterns (random and burst), and finite block lengths. On time varying channels, a common error control strategy is to adapt the coding rate according to available channel state information (CSI). An effective way to realize this coding strategy is to use a single code and puncture it in a rate-compatible fashion, a so-called rate-compatible punctured code (RCPC). We are interested in the existence of good puncturing patterns for rate-changes that minimize performance loss. We show the existence of good puncturing patterns with analysis and verify the results with simulations. Universality of a channel code across a broad range of coding rates is a theoretically interesting topic. We are interested in the possibility of using the puncturing technique proposed in this thesis for designing universal LDPC codes. We also consider how to design high rate LDPC codes by puncturing low rate LDPC codes. The new design method can take advantage of longer effect block lengths, sparser parity-check matrices, and larger minimum distances of low rate LDPC codes.
Author:
Publisher: Academic Press
Published: 2014-07-29
Total Pages: 687
ISBN-13: 012397223X
DOWNLOAD EBOOKThis book gives a review of the principles, methods and techniques of important and emerging research topics and technologies in Channel Coding, including theory, algorithms, and applications. Edited by leading people in the field who, through their reputation, have been able to commission experts to write on a particular topic. With this reference source you will: - Quickly grasp a new area of research - Understand the underlying principles of a topic and its applications - Ascertain how a topic relates to other areas and learn of the research issues yet to be resolved - Quick tutorial reviews of important and emerging topics of research in Channel Coding - Presents core principles in Channel Coding theory and shows their applications - Reference content on core principles, technologies, algorithms and applications - Comprehensive references to journal articles and other literature on which to build further, more specific and detailed knowledge
Author: Marcos Bruno Saldanha Tavares
Publisher: Jörg Vogt Verlag
Published: 2010
Total Pages: 238
ISBN-13: 3938860383
DOWNLOAD EBOOKAuthor: Juane Li
Publisher: Cambridge University Press
Published: 2017
Total Pages: 259
ISBN-13: 1107175682
DOWNLOAD EBOOKIn this book, leading authorities unify algebraic- and graph-based LDPC code designs and constructions into a single theoretical framework.