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Software Implementation of Error Correcting Codes

Software Implementation of Error Correcting Codes PDF Author: Richard Howard Pashburg
Publisher:
ISBN:
Category :
Languages : en
Pages : 196

Book Description
Most error-correcting coding systems now use special-purpose hardware machines. The alternate method, using a general-purpose computer to perform encoding and decoding, has several advantages over the use of special hardware. Hardware equipment designed specifically for a coding system can be expensive, especially if the decoding is difficult, and if only a few systems are to be built. Minicomputers, however, are easily available and can be used throughout communications systems. To compare various coding systems in software, programs to perform encoding and decoding were written in assembly language for a PDP-11/40 minicomputer. The results obtained for decoding ease clearly depend on the programming techniques used, which in turn depend on the computer available. The codes implemented are compared in terms of error-correcting ability, and effort involved in decoding. (Modified author abstract).

Software Implementation of Error Correcting Codes

Software Implementation of Error Correcting Codes PDF Author: Richard Howard Pashburg
Publisher:
ISBN:
Category :
Languages : en
Pages : 196

Book Description
Most error-correcting coding systems now use special-purpose hardware machines. The alternate method, using a general-purpose computer to perform encoding and decoding, has several advantages over the use of special hardware. Hardware equipment designed specifically for a coding system can be expensive, especially if the decoding is difficult, and if only a few systems are to be built. Minicomputers, however, are easily available and can be used throughout communications systems. To compare various coding systems in software, programs to perform encoding and decoding were written in assembly language for a PDP-11/40 minicomputer. The results obtained for decoding ease clearly depend on the programming techniques used, which in turn depend on the computer available. The codes implemented are compared in terms of error-correcting ability, and effort involved in decoding. (Modified author abstract).

Error Correction Coding

Error Correction Coding PDF Author: Todd K. Moon
Publisher: John Wiley & Sons
ISBN: 0471648000
Category : Computers
Languages : en
Pages : 800

Book Description
An unparalleled learning tool and guide to error correction coding Error correction coding techniques allow the detection and correction of errors occurring during the transmission of data in digital communication systems. These techniques are nearly universally employed in modern communication systems, and are thus an important component of the modern information economy. Error Correction Coding: Mathematical Methods and Algorithms provides a comprehensive introduction to both the theoretical and practical aspects of error correction coding, with a presentation suitable for a wide variety of audiences, including graduate students in electrical engineering, mathematics, or computer science. The pedagogy is arranged so that the mathematical concepts are presented incrementally, followed immediately by applications to coding. A large number of exercises expand and deepen students' understanding. A unique feature of the book is a set of programming laboratories, supplemented with over 250 programs and functions on an associated Web site, which provides hands-on experience and a better understanding of the material. These laboratories lead students through the implementation and evaluation of Hamming codes, CRC codes, BCH and R-S codes, convolutional codes, turbo codes, and LDPC codes. This text offers both "classical" coding theory-such as Hamming, BCH, Reed-Solomon, Reed-Muller, and convolutional codes-as well as modern codes and decoding methods, including turbo codes, LDPC codes, repeat-accumulate codes, space time codes, factor graphs, soft-decision decoding, Guruswami-Sudan decoding, EXIT charts, and iterative decoding. Theoretical complements on performance and bounds are presented. Coding is also put into its communications and information theoretic context and connections are drawn to public key cryptosystems. Ideal as a classroom resource and a professional reference, this thorough guide will benefit electrical and computer engineers, mathematicians, students, researchers, and scientists.

Advanced Hardware Design for Error Correcting Codes

Advanced Hardware Design for Error Correcting Codes PDF Author: Cyrille Chavet
Publisher: Springer
ISBN: 3319105698
Category : Technology & Engineering
Languages : en
Pages : 197

Book Description
This book provides thorough coverage of error correcting techniques. It includes essential basic concepts and the latest advances on key topics in design, implementation, and optimization of hardware/software systems for error correction. The book’s chapters are written by internationally recognized experts in this field. Topics include evolution of error correction techniques, industrial user needs, architectures, and design approaches for the most advanced error correcting codes (Polar Codes, Non-Binary LDPC, Product Codes, etc). This book provides access to recent results, and is suitable for graduate students and researchers of mathematics, computer science, and engineering. • Examines how to optimize the architecture of hardware design for error correcting codes; • Presents error correction codes from theory to optimized architecture for the current and the next generation standards; • Provides coverage of industrial user needs advanced error correcting techniques. Advanced Hardware Design for Error Correcting Codes includes a foreword by Claude Berrou.

Error Correcting Codes

Error Correcting Codes PDF Author: D J. Baylis
Publisher: Routledge
ISBN: 1351449842
Category : Mathematics
Languages : en
Pages : 232

Book Description
Assuming little previous mathematical knowledge, Error Correcting Codes provides a sound introduction to key areas of the subject. Topics have been chosen for their importance and practical significance, which Baylis demonstrates in a rigorous but gentle mathematical style.Coverage includes optimal codes; linear and non-linear codes; general techniques of decoding errors and erasures; error detection; syndrome decoding, and much more. Error Correcting Codes contains not only straight maths, but also exercises on more investigational problem solving. Chapters on number theory and polynomial algebra are included to support linear codes and cyclic codes, and an extensive reminder of relevant topics in linear algebra is given. Exercises are placed within the main body of the text to encourage active participation by the reader, with comprehensive solutions provided.Error Correcting Codes will appeal to undergraduate students in pure and applied mathematical fields, software engineering, communications engineering, computer science and information technology, and to organizations with substantial research and development in those areas.

An Introduction to Error Correcting Codes with Applications

An Introduction to Error Correcting Codes with Applications PDF Author: Scott A. Vanstone
Publisher: Springer Science & Business Media
ISBN: 1475720327
Category : Technology & Engineering
Languages : en
Pages : 297

Book Description
5. 2 Rings and Ideals 148 5. 3 Ideals and Cyclic Subspaces 152 5. 4 Generator Matrices and Parity-Check Matrices 159 5. 5 Encoding Cyclic Codest 163 5. 6 Syndromes and Simple Decoding Procedures 168 5. 7 Burst Error Correcting 175 5. 8 Finite Fields and Factoring xn-l over GF(q) 181 5. 9 Another Method for Factoring xn-l over GF(q)t 187 5. 10 Exercises 193 Chapter 6 BCH Codes and Bounds for Cyclic Codes 6. 1 Introduction 201 6. 2 BCH Codes and the BCH Bound 205 6. 3 Bounds for Cyclic Codest 210 6. 4 Decoding BCH Codes 215 6. 5 Linearized Polynomials and Finding Roots of Polynomialst 224 6. 6 Exercises 231 Chapter 7 Error Correction Techniques and Digital Audio Recording 7. 1 Introduction 237 7. 2 Reed-Solomon Codes 237 7. 3 Channel Erasures 240 7. 4 BCH Decoding with Erasures 244 7. 5 Interleaving 250 7. 6 Error Correction and Digital Audio Recording 256 7.

Error Correcting Codes

Error Correcting Codes PDF Author: D J. Baylis
Publisher: Routledge
ISBN: 1351449834
Category : Mathematics
Languages : en
Pages : 238

Book Description
Assuming little previous mathematical knowledge, Error Correcting Codes provides a sound introduction to key areas of the subject. Topics have been chosen for their importance and practical significance, which Baylis demonstrates in a rigorous but gentle mathematical style.Coverage includes optimal codes; linear and non-linear codes; general techniques of decoding errors and erasures; error detection; syndrome decoding, and much more. Error Correcting Codes contains not only straight maths, but also exercises on more investigational problem solving. Chapters on number theory and polynomial algebra are included to support linear codes and cyclic codes, and an extensive reminder of relevant topics in linear algebra is given. Exercises are placed within the main body of the text to encourage active participation by the reader, with comprehensive solutions provided.Error Correcting Codes will appeal to undergraduate students in pure and applied mathematical fields, software engineering, communications engineering, computer science and information technology, and to organizations with substantial research and development in those areas.

The Art of Error Correcting Coding

The Art of Error Correcting Coding PDF Author: Robert H. Morelos-Zaragoza
Publisher: 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.

List Decoding of Error-Correcting Codes

List Decoding of Error-Correcting Codes PDF Author: Venkatesan Guruswami
Publisher: Springer Science & Business Media
ISBN: 3540240519
Category : Computers
Languages : en
Pages : 354

Book Description
This monograph is a thoroughly revised and extended version of the author's PhD thesis, which was selected as the winning thesis of the 2002 ACM Doctoral Dissertation Competition. Venkatesan Guruswami did his PhD work at the MIT with Madhu Sudan as thesis adviser. Starting with the seminal work of Shannon and Hamming, coding theory has generated a rich theory of error-correcting codes. This theory has traditionally gone hand in hand with the algorithmic theory of decoding that tackles the problem of recovering from the transmission errors efficiently. This book presents some spectacular new results in the area of decoding algorithms for error-correcting codes. Specificially, it shows how the notion of list-decoding can be applied to recover from far more errors, for a wide variety of error-correcting codes, than achievable before The style of the exposition is crisp and the enormous amount of information on combinatorial results, polynomial time list decoding algorithms, and applications is presented in well structured form.

Dependable Embedded Systems

Dependable Embedded Systems PDF Author: Jörg Henkel
Publisher: Springer Nature
ISBN: 303052017X
Category : Technology & Engineering
Languages : en
Pages : 606

Book Description
This Open Access book introduces readers to many new techniques for enhancing and optimizing reliability in embedded systems, which have emerged particularly within the last five years. This book introduces the most prominent reliability concerns from today’s points of view and roughly recapitulates the progress in the community so far. Unlike other books that focus on a single abstraction level such circuit level or system level alone, the focus of this book is to deal with the different reliability challenges across different levels starting from the physical level all the way to the system level (cross-layer approaches). The book aims at demonstrating how new hardware/software co-design solution can be proposed to ef-fectively mitigate reliability degradation such as transistor aging, processor variation, temperature effects, soft errors, etc. Provides readers with latest insights into novel, cross-layer methods and models with respect to dependability of embedded systems; Describes cross-layer approaches that can leverage reliability through techniques that are pro-actively designed with respect to techniques at other layers; Explains run-time adaptation and concepts/means of self-organization, in order to achieve error resiliency in complex, future many core systems.

Error-correcting Coding Theory

Error-correcting Coding Theory PDF Author: Man Young Rhee
Publisher: McGraw-Hill Companies
ISBN:
Category : Computers
Languages : en
Pages : 488

Book Description