New methods of information noiseproof coding
DOI:
https://doi.org/10.15587/1729-4061.2012.5246Keywords:
probability, probabilistic form, noise-immunity, Reed-Solomon code, international telegraph code-3, stacking velocity coefficient, error syndrome, Berklemp-Massey algorithmAbstract
The article is dedicated to the basic characteristics of the probabilistic form of information representation, which allows to use it as a noise combating code. The basis of the principle is reiteration. The greater the number of statistical tests, the higher is the accuracy. In the case of application of the rule for coding the noise-immunity is also higher. However, the increase of the number of elements of the statistical series leads to an inappropriate usage of this method, because of the significant reduction of the stacking velocity coefficient. This disadvantage can be solved with the suggested method, the essence of which is to use the same pseudorandom sequences at secondary probabilistic transformation of taken sequences. This method is based on the relation of the probabilistic form of information representation and of the distribution function of an ancillary random signal used in the conversion process. The advantages of a probabilistic form of information representation allow us to solve the problem of noise- immunity improvement of the transmitted information, using minimum hardware and software. The corresponding codes, which correct multiple errors, such as Berlekamp – Massey algorithm for Reed-Solomon code, require the solution of a larger number of nested loops of the iterative process of roots evaluation in equations. The suggested method can be applied in CDMA technologyReferences
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