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Forward Error Correction Via Channel Coding

Forward Error Correction Via Channel Coding
Author: Orhan Gazi
Publisher:
Total Pages: 326
Release: 2020
Genre: Error-correcting codes (Information theory)
ISBN: 9783030333812

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This book provides a comprehensive explanation of forward error correction, which is a vital part of communication systems. The book is written in such a way to make the subject easy and understandable for the reader. The book starts with a review of linear algebra to provide a basis for the text. The author then goes on to cover linear block codes, syndrome error correction, cyclic codes, Galois fields, BCH codes, Reed Solomon codes, and convolutional codes. Examples are provided throughout the text. Provides a comprehensive treatment of forward error correction Includes examples through the book, which are solved in steps, making them easier to understand Ideal for researchers, professionals and students.


Forward Error Correction via Channel Coding

Forward Error Correction via Channel Coding
Author: Orhan Gazi
Publisher: Springer Nature
Total Pages: 326
Release: 2019-12-04
Genre: Technology & Engineering
ISBN: 3030333809

Download Forward Error Correction via Channel Coding Book in PDF, ePub and Kindle

This book provides a comprehensive explanation of forward error correction, which is a vital part of communication systems. The book is written in such a way to make the subject easy and understandable for the reader. The book starts with a review of linear algebra to provide a basis for the text. The author then goes on to cover linear block codes, syndrome error correction, cyclic codes, Galois fields, BCH codes, Reed Solomon codes, and convolutional codes. Examples are provided throughout the text.


Error-correcting Codes

Error-correcting Codes
Author: William Wesley Peterson
Publisher: MIT Press
Total Pages: 584
Release: 1972
Genre: Computers
ISBN: 9780262160391

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The coding problem; Introduction to algebra; Linear codes; Error correction capabilities of linear codes; Important linear block codes; Polynomial rings and galois fields; Linear switching circuits; Cyclic codes; Bose-chaudhuri-hocquenghem codes; Arithmetic codes.


Codes for Error Detection

Codes for Error Detection
Author: Torleiv Kl?ve
Publisher: World Scientific
Total Pages: 214
Release: 2007
Genre: Mathematics
ISBN: 9812705864

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There are two basic methods of error control for communication, both involving coding of the messages. With forward error correction, the codes are used to detect and correct errors. In a repeat request system, the codes are used to detect errors and, if there are errors, request a retransmission. Error detection is usually much simpler to implement than error correction and is widely used. However, it is given a very cursory treatment in almost all textbooks on coding theory. Only a few older books are devoted to error detecting codes. This book begins with a short introduction to the theory of block codes with emphasis on the parts important for error detection. The weight distribution is particularly important for this application and is treated in more detail than in most books on error correction. A detailed account of the known results on the probability of undetected error on the q-ary symmetric channel is also given.


Advanced Hardware Design for Error Correcting Codes

Advanced Hardware Design for Error Correcting Codes
Author: Cyrille Chavet
Publisher: Springer
Total Pages: 197
Release: 2014-10-30
Genre: Technology & Engineering
ISBN: 3319105698

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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.


Bandwidth-efficient Forward-error-correction-coding for Long Burst Noise Channels

Bandwidth-efficient Forward-error-correction-coding for Long Burst Noise Channels
Author: Hossein Asghari
Publisher:
Total Pages:
Release: 2006
Genre:
ISBN:

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The IDA can be implemented using Reed Solomon (RS) codes. Faster and more efficient codes can be used to implement IDA, but they are not currently implemented in hardware. The IDA can be used to design bandwidth-efficient FECC for a channel with burst noise. Our research presents the analysis, design, implementation, and testing of IDA. The IDA has been implemented in software using the RS codes. We compared its performance with that of TPC. Assuming a well-defined channel with long burst noise (i.e., many bit errors) and a large block size, we showed that if symbol-by-symbol reliability is not available (i.e., unable to detect burst noise boundaries), then IDA will perform better than TPC in terms of bit and block error rates. However, if symbol-by-symbol reliability is available, then IDA may perform as well as TPC in terms of block error rate, while TPC will always have a lower bit error rate.


Forward Error Correction Based On Algebraic-Geometric Theory

Forward Error Correction Based On Algebraic-Geometric Theory
Author: Jafar A. Alzubi
Publisher: Springer
Total Pages: 77
Release: 2014-06-12
Genre: Technology & Engineering
ISBN: 3319082930

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This book covers the design, construction, and implementation of algebraic-geometric codes from Hermitian curves. Matlab simulations of algebraic-geometric codes and Reed-Solomon codes compare their bit error rate using different modulation schemes over additive white Gaussian noise channel model. Simulation results of Algebraic-geometric codes bit error rate performance using quadrature amplitude modulation (16QAM and 64QAM) are presented for the first time and shown to outperform Reed-Solomon codes at various code rates and channel models. The book proposes algebraic-geometric block turbo codes. It also presents simulation results that show an improved bit error rate performance at the cost of high system complexity due to using algebraic-geometric codes and Chase-Pyndiah’s algorithm simultaneously. The book proposes algebraic-geometric irregular block turbo codes (AG-IBTC) to reduce system complexity. Simulation results for AG-IBTCs are presented for the first time.


Error-Correction Coding for Digital Communications

Error-Correction Coding for Digital Communications
Author: George C. Clark Jr.
Publisher: Springer Science & Business Media
Total Pages: 432
Release: 2013-06-29
Genre: Technology & Engineering
ISBN: 1489921745

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Error-correction coding is being used on an almost routine basis in most new communication systems. Not only is coding equipment being used to increase the energy efficiency of communication links, but coding ideas are also providing innovative solutions to many related communication problems. Among these are the elimination of intersymbol interference caused by filtering and multipath and the improved demodulation of certain frequency modulated signals by taking advantage of the "natural" coding provided by a continuous phase. Although several books and nu merous articles have been written on coding theory, there are still noticeable deficiencies. First, the practical aspects of translating a specific decoding algorithm into actual hardware have been largely ignored. The information that is available is sketchy and is widely dispersed. Second, the information required to evaluate a particular technique under situations that are en countered in practice is available for the most part only in private company reports. This book is aimed at correcting both of these problems. It is written for the design engineer who must build the coding and decoding equipment and for the communication system engineer who must incorporate this equipment into a system. It is also suitable as a senior-level or first-year graduate text for an introductory one-semester course in coding theory. The book U"Ses a minimum of mathematics and entirely avoids the classical theorem/proof approach that is often seen in coding texts.


Error Correction Codes for Non-Volatile Memories

Error Correction Codes for Non-Volatile Memories
Author: Rino Micheloni
Publisher: Springer Science & Business Media
Total Pages: 338
Release: 2008-06-03
Genre: Technology & Engineering
ISBN: 1402083912

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Nowadays it is hard to find an electronic device which does not use codes: for example, we listen to music via heavily encoded audio CD's and we watch movies via encoded DVD's. There is at least one area where the use of encoding/decoding is not so developed, yet: Flash non-volatile memories. Flash memory high-density, low power, cost effectiveness, and scalable design make it an ideal choice to fuel the explosion of multimedia products, like USB keys, MP3 players, digital cameras and solid-state disk. In ECC for Non-Volatile Memories the authors expose the basics of coding theory needed to understand the application to memories, as well as the relevant design topics, with reference to both NOR and NAND Flash architectures. A collection of software routines is also included for better understanding. The authors form a research group (now at Qimonda) which is the typical example of a fruitful collaboration between mathematicians and engineers.