Introduction To Error Control Codes
Author | : Saslvatore Gravano |
Publisher | : |
Total Pages | : |
Release | : 2007-05-07 |
Genre | : |
ISBN | : 9780199236787 |
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Author | : Saslvatore Gravano |
Publisher | : |
Total Pages | : |
Release | : 2007-05-07 |
Genre | : |
ISBN | : 9780199236787 |
Author | : Richard E. Blahut |
Publisher | : Addison Wesley Publishing Company |
Total Pages | : 520 |
Release | : 1983 |
Genre | : Computers |
ISBN | : |
Author | : Scott A. Vanstone |
Publisher | : Springer Science & Business Media |
Total Pages | : 297 |
Release | : 2013-04-18 |
Genre | : Technology & Engineering |
ISBN | : 1475720327 |
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.
Author | : Todd K. Moon |
Publisher | : John Wiley & Sons |
Total Pages | : 800 |
Release | : 2005-06-06 |
Genre | : Computers |
ISBN | : 0471648000 |
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.
Author | : Yuan Jiang |
Publisher | : Artech House |
Total Pages | : 293 |
Release | : 2010 |
Genre | : Computers |
ISBN | : 1608070891 |
This practical resource provides you with a comprehensive understanding of error control coding, an essential and widely applied area in modern digital communications. The goal of error control coding is to encode information in such a way that even if the channel (or storage medium) introduces errors, the receiver can correct the errors and recover the original transmitted information. This book includes the most useful modern and classic codes, including block, Reed Solomon, convolutional, turbo, and LDPC codes.You find clear guidance on code construction, decoding algorithms, and error correcting performances. Moreover, this unique book introduces computer simulations integrally to help you master key concepts. Including a companion DVD with MATLAB programs and supported with over 540 equations, this hands-on reference provides you with an in-depth treatment of a wide range of practical implementation issues.
Author | : Lin Shu |
Publisher | : Pearson Education India |
Total Pages | : 1276 |
Release | : 2011 |
Genre | : Error-correcting codes (Information theory) |
ISBN | : 9788131734407 |
Author | : Stephen B. Wicker |
Publisher | : |
Total Pages | : 536 |
Release | : 1995 |
Genre | : Computers |
ISBN | : |
For introductory graduate courses in coding for telecommunications engineering, digital communications. This introductory text on error control coding focuses on key implementation issues and performance analysis with applications valuable to both mathematicians and engineers.
Author | : Ajay Dholakia |
Publisher | : Springer Science & Business Media |
Total Pages | : 256 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 1461527120 |
Introduction to Convolutional Codes with Applications is an introduction to the basic concepts of convolutional codes, their structure and classification, various error correction and decoding techniques for convolutionally encoded data, and some of the most common applications. The definition and representations, distance properties, and important classes of convolutional codes are also discussed in detail. The book provides the first comprehensive description of table-driven correction and decoding of convolutionally encoded data. Complete examples of Viterbi, sequential, and majority-logic decoding technique are also included, allowing a quick comparison among the different decoding approaches. Introduction to Convolutional Codes with Applications summarizes the research of the last two decades on applications of convolutional codes in hybrid ARQ protocols. A new classification allows a natural way of studying the underlying concepts of hybrid schemes and accommodates all of the new research. A novel application of fast decodable invertible convolutional codes for lost packet recovery in high speed networks is described. This opens the door for using convolutional coding for error recovery in high speed networks. Practicing communications, electronics, and networking engineers who want to get a better grasp of the underlying concepts of convolutional coding and its applications will greatly benefit by the simple and concise style of explanation. An up-to-date bibliography of over 300 papers is included. Also suitable for use as a textbook or a reference text in an advanced course on coding theory with emphasis on convolutional codes.
Author | : Jiri Adamek |
Publisher | : John Wiley & Sons |
Total Pages | : 352 |
Release | : 2011-02-14 |
Genre | : Computers |
ISBN | : 1118031512 |
Although devoted to constructions of good codes for error control, secrecy or data compression, the emphasis is on the first direction. Introduces a number of important classes of error-detecting and error-correcting codes as well as their decoding methods. Background material on modern algebra is presented where required. The role of error-correcting codes in modern cryptography is treated as are data compression and other topics related to information theory. The definition-theorem proof style used in mathematics texts is employed through the book but formalism is avoided wherever possible.
Author | : Daniel A. Lidar |
Publisher | : Cambridge University Press |
Total Pages | : 689 |
Release | : 2013-09-12 |
Genre | : Computers |
ISBN | : 0521897874 |
Focusing on methods for quantum error correction, this book is invaluable for graduate students and experts in quantum information science.