General structure of the linear system of error correcting coding

Authors

  • V. L. Seletkov Kyiv, Ukraine

DOI:

https://doi.org/10.3103/S0735272710120034

Keywords:

еrror сorrecting сoding and decoding, linear code, convolutional code, polynomial code

Abstract

The general structure of the linear system of error correcting coding in the form of multiinput (vector) digital filter with variable parameters has been analyzed. A modification of the Euclid algorithm of inversion of a polynomial with matrix coefficients is presented. The peculiarities of solving the problem of decoding the code with variable parameters are considered.

References

R. H. Morelos-Zaragoza, The Art of Error Correcting Coding (Wiley, New York, 2006; Tekhnosfera, Moscow, 2007).

B. Sklar, Digital Communications. Fundamentals and Applications, 2nd ed. (Prentice-Hall, New Jersey, 2001; Izdat. dom “Williams”, Moscow, 2003).

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Published

2010-12-03

Issue

Vol. 53 No. 12 (2010)

Section

Research Articles