Author: Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
BCH Code Selection and Iterative Decoding for BCH and LDPC Concatenated Coding System
Essentials of Error-Control Coding
Author: Jorge Castiñeira MoreiraPublisher: John Wiley & Sons
ISBN: 0470035714
Category : Technology & Engineering
Languages : en
Pages : 388
Book Description
Rapid advances in electronic and optical technology have enabled the implementation of powerful error-control codes, which are now used in almost the entire range of information systems with close to optimal performance. These codes and decoding methods are required for the detection and correction of the errors and erasures which inevitably occur in digital information during transmission, storage and processing because of noise, interference and other imperfections. Error-control coding is a complex, novel and unfamiliar area, not yet widely understood and appreciated. This book sets out to provide a clear description of the essentials of the subject, with comprehensive and up-to-date coverage of the most useful codes and their decoding algorithms. A practical engineering and information technology emphasis, as well as relevant background material and fundamental theoretical aspects, provides an in-depth guide to the essentials of Error-Control Coding. Provides extensive and detailed coverage of Block, Cyclic, BCH, Reed-Solomon, Convolutional, Turbo, and Low Density Parity Check (LDPC) codes, together with relevant aspects of Information Theory EXIT chart performance analysis for iteratively decoded error-control techniques Heavily illustrated with tables, diagrams, graphs, worked examples, and exercises Invaluable companion website features slides of figures, algorithm software, updates and solutions to problems Offering a complete overview of Error Control Coding, this book is an indispensable resource for students, engineers and researchers in the areas of telecommunications engineering, communication networks, electronic engineering, computer science, information systems and technology, digital signal processing and applied mathematics.
Constrained Coding and Soft Iterative Decoding
Author: John L. FanPublisher: Springer Science & Business Media
ISBN: 1461515254
Category : Technology & Engineering
Languages : en
Pages : 268
Book Description
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.
The Art of Error Correcting Coding
Author: Robert H. Morelos-ZaragozaPublisher: John Wiley & Sons
ISBN: 0470035692
Category : Technology & Engineering
Languages : en
Pages : 278
Book Description
Building on the success of the first edition, which offered a practical introductory approach to the techniques of error concealment, this book, now fully revised and updated, provides a comprehensive treatment of the subject and includes a wealth of additional features. The Art of Error Correcting Coding, Second Edition explores intermediate and advanced level concepts as well as those which will appeal to the novice. All key topics are discussed, including Reed-Solomon codes, Viterbi decoding, soft-output decoding algorithms, MAP, log-MAP and MAX-log-MAP. Reliability-based algorithms GMD and Chase are examined, as are turbo codes, both serially and parallel concatenated, as well as low-density parity-check (LDPC) codes and their iterative decoders. Features additional problems at the end of each chapter and an instructor’s solutions manual Updated companion website offers new C/C ++programs and MATLAB scripts, to help with the understanding and implementation of basic ECC techniques Easy to follow examples illustrate the fundamental concepts of error correcting codes Basic analysis tools are provided throughout to help in the assessment of the error performance block and convolutional codes of a particular error correcting coding (ECC) scheme for a selection of the basic channel models This edition provides an essential resource to engineers, computer scientists and graduate students alike for understanding and applying ECC techniques in the transmission and storage of digital information.
On Iterative Decoding of BCH Codes and Decoding Beyond the BCH Bound
Author: Kenneth Kai Ming TzengPublisher:
ISBN:
Category :
Languages : en
Pages : 128
Book Description
The work is largely concerned with the decoding problems of error-correcting codes. A direct approach to the solution of Berlekamp's key equation for decoding Bose-Chaudhuri-Hocquenghem codes with the consequent derivation of a modified Berlekamp Iterative Algorithm is presented. Iterative decoding of a syndrome sequence in reverse has been meaningful. A class of reversible cyclic codes is proved to have minimum distance greater than the BCH bound and it has been shown that reverse-sequence iterative decoding is the most natural technique to be coupled with the forward-sequence iterative decoding to decode this class of reversible codes beyond the BCH bound. For cyclic codes with minimum distance greater than their BCH bound, a scheme called syndrome transformation decoding is proposed for decoding the codes beyond their BCH bound. With this scheme, the possible adaption of these codes to be used in compound channels to correct random errors as well as burst errors is shown in an example. Based on the concept of syndrome transformation decoding, cyclic codes for single and multiple solid-burst error correction have been constructed including a simple decoding procedure. (Author).
Error-Correction Coding and Decoding
Author: Martin TomlinsonPublisher: Springer
ISBN: 3319511033
Category : Technology & Engineering
Languages : en
Pages : 527
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.
Low Complexity High Performance Concatenated Code System
Author: Houtan DeheshPerformance Comparisons for Serial Concatenated Block Convolutional Codes when Sequentially and Iteratively Decoded
Author: Dana Nazir DannanPublisher:
ISBN:
Category :
Languages : en
Pages : 178
Book Description
Serially Concatenated Codes, a concept building on classical concatenated codes and parallel concatenated codes known as "Turbo Codes", have been studied for ma ny years. One of the most important forms of serial concatenated codes that was first discovered by Forney [14], consists of a simple convolutional code as an inner c ode and a Reed_ Solomon code as an outer code, and the decoding for this coding scheme is done sequentially, using each decoder once. In this thesis, other powerful linear block codes such as Hamming and BCH codes were considered. Simulations were done for three models with and without an inte rleaver and for different block lengths. Comparative study of the three models w as done in order to find out how the block code may affect the performance. The simulation results showed that both Hamming and BCH codes give the same performa nce for the same values of Energy bit to Noise ratio (EbNo), but a Reed_ Solomon model gives a good performance. In the second part of the thesis, other ways of serial poncatenations were appli ed but here the used decoder will be changed from sequential decoder into iterat ive decoder. The new iterative decoder consists of an outer (SISO), and an inner block decode r that corresponds to the used block encoder, simulation results showed a very b ad performance comparing to the previous models. A new way of serial concatenati on was done, by connecting a block encoder serially to an (SCCC) in the encoder side, and for the decoder side, a block decoder was serially connected to the it erative decoder. Simulation results showed that the new way of concatenating gives a very good performance comparing to the first models for different block codes. Important comparisons were also done in order to see the effect of the block codes when they are modified to a S erial Concatenated Convolutional Codes (SCCCs). Results showed that both Hamming and BCH codes give approximately same performance that is obtained by the equiv alent (SCCC). But when using the Reed_ Solomon code, a very good performance was achieved comparing to all other models, even when compared to Serial Concatenat ed Convolutional Code (SCCC).
Enhanced Decoding for Concatenated Codes
Author: Yi HsuanModern Coding Theory
Author: Tom RichardsonPublisher: Cambridge University Press
ISBN: 1139469649
Category : Technology & Engineering
Languages : en
Pages : 589
Book Description
Having trouble deciding which coding scheme to employ, how to design a new scheme, or how to improve an existing system? This summary of the state-of-the-art in iterative coding makes this decision more straightforward. With emphasis on the underlying theory, techniques to analyse and design practical iterative coding systems are presented. Using Gallager's original ensemble of LDPC codes, the basic concepts are extended for several general codes, including the practically important class of turbo codes. The simplicity of the binary erasure channel is exploited to develop analytical techniques and intuition, which are then applied to general channel models. A chapter on factor graphs helps to unify the important topics of information theory, coding and communication theory. Covering the most recent advances, this text is ideal for graduate students in electrical engineering and computer science, and practitioners. Additional resources, including instructor's solutions and figures, available online: www.cambridge.org/9780521852296.