Get A practical guide to error-control coding using Matlab PDF

By Yuan Jing

ISBN-10: 1608070891

ISBN-13: 9781608070893

This useful source presents engineers with a finished knowing of mistakes regulate coding, an important and commonly utilized quarter in smooth electronic communications. The aim of mistakes keep watch over coding is to encode info in any such method that whether the channel (or garage medium) introduces error, the receiver can right the blunders and get better the unique transmitted info. This booklet contains the main invaluable sleek and vintage codes, together with block, Reed Solomon, convolutional, rapid, and LDPC codes. pros locate transparent counsel on code development, deciphering algorithms, and mistake correcting performances. additionally, this distinctive e-book introduces machine simulations integrally to assist readers grasp key thoughts. together with a spouse DVD with MATLAB courses and supported with over 540 equations, this hands-on reference offers an in-depth therapy of a variety of functional implementation concerns. DVD is incorporated! It comprises conscientiously designed MATLAB courses that practitioners can practice to their tasks within the box.

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Are called the conjugates of b. For example, a is a root of the binary polynomial X 3 + X + 1; a 2, a 4, ... are also its roots. A polynomial J(X ) over GF( p) of degree m is irreducible over GF( p) if it is not divisible by any polynomial over GF( p) of degree less than m. For instance, polynomial 1 + X + X 3 is an irreducible polynomial over GF(2), but X + X 3 is not because (X + X 3)/X = 1 + X 2. Irreducible polynomials have an important feature, that is, any irreducible polynomial of degree m dim 3 vides X p -1 -1[5, p.

Basic Abstract Algebra for Graduate Students and Advanced Undergraduates, New York: Dover Publications, 2006. [3] Hungerford, T. , New York: Saunders College Publishing, 1997. , and D. J. , Upper Saddle River, NJ: Prentice-Hall, 2004. [5] Moon, T. , Error Correction Coding—Mathematical Methods and Algorithms, New York: John Wiley & Sons, 2005. -P. J. L. Imaña, and G. D. Sutter, Hardware Implementation of FiniteField Arithmetic, New York: McGraw-Hill, 2009. [7] Wang, C. , “VLSI Architectures for Computing Multiplications and Inverses in GF(2m),” IEEE Trans.

3 é10101ù Consider a simple (5,2) code with the generator matrix G = ê ú. The 01011 ë û standard array of the code is constructed as follows: . In fact the coset leaders are correctable error patterns. There are also other error patterns, but they are just not correctable. 54 A Practical Guide to Error-Control Coding Using MATLAB® 00000 01011 10000 11011 01000 00011 00100 01111 00010 01001 00001 01010 11000 10011 10010 11001 � Coset Leader 10101 00101 11101 10001 10111 10100 01101 00111 11110 ¬ Codewords 01110 10110 11010 11100 11111 00110 01100 The first row of the array consists of four codewords.

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A practical guide to error-control coding using Matlab by Yuan Jing


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