Download e-book for iPad: A practical guide to error-control coding using Matlab by Yuan Jing

By Yuan Jing

ISBN-10: 1608070891

ISBN-13: 9781608070893

This functional source offers engineers with a complete realizing of mistakes keep an eye on coding, an important and largely utilized sector in sleek electronic communications. The objective of mistakes regulate coding is to encode info in this type of manner that no matter if the channel (or garage medium) introduces mistakes, the receiver can right the mistakes and get better the unique transmitted details. This booklet comprises the main necessary smooth and vintage codes, together with block, Reed Solomon, convolutional, faster, and LDPC codes. pros locate transparent tips on code building, interpreting algorithms, and mistake correcting performances. in addition, this exact e-book introduces desktop simulations integrally to aid readers grasp key suggestions. together with a better half DVD with MATLAB courses and supported with over 540 equations, this hands-on reference offers an in-depth therapy of a variety of sensible implementation matters. DVD is incorporated! It comprises rigorously designed MATLAB courses that practitioners can practice to their initiatives within the box.

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8, August 1985, pp. 709–717. , “Galois Field Arithmetic Implementation,” Class Handout, ee387, Algebraic Error Control Codes, Stanford University, 2008. Selected Bibliography Berlekamp, E. , Algebraic Coding Theory, New York: McGraw-Hill, 1968. , and H. : Cambridge University Press, 1997. McEliece, R. , Finite Field for Computer Scientists and Engineers, New York: Springer, 1986. 3 Binary Block Codes Having defined block codes in the first chapter, we are now going to discuss the codes in detail.

Algebraic Coding Theory, New York: McGraw-Hill, 1968. , and H. : Cambridge University Press, 1997. McEliece, R. , Finite Field for Computer Scientists and Engineers, New York: Springer, 1986. 3 Binary Block Codes Having defined block codes in the first chapter, we are now going to discuss the codes in detail. We take the typical top-down approach in presenting the materials. First, linear block codes are described. Then cyclic codes are introduced as a subclass of linear block codes. The most important cyclic codes, namely, BCH codes, are explained last.

1 Some Primitive Polynomials over GF (2) m Primitive Polynomial 3 1 + X + X 3 4 1 + X + X 4 5 1 + X 2 + X 5 6 1 + X + X 6 7 1 + X 3 + X 7 8 1 + X 2 + X 3 + X4 + X 8 9 1 + X4 + X9 10 1 + X 3 + X 10 11 1 + X 2 + X 11 12 1 + X + X 4 + X 6 + X 12 13 1 + X + X 3 + X 4 + X 13 14 1 + X + X 6 + X 10 + X 14 15 1 + X + X 15 16 1 + X + X 3 + X12 + X16 17 1 + X 3 + X 17 18 1 + X 7 + X 18 19 1 + X + X 2 + X 5 + X 19 20 1 + X 3 + X 20 Primitive polynomials play a central role in coding theory. Although theoretically an irreducible but nonprimitive polynomial can also define an extension field, it is more convenient to use a primitive polynomial to generate an extension field since its root is the primitive element of the field.

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


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