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Article

МОДЕЛИ ОБРАЗОВАНИЯ ЗНАЧЕНИЙ CRC И КОНТРОЛЬНЫХ СУММ В УСЛОВИЯХ МНОЖЕСТВЕННЫХ ИСКАЖЕНИЙ

The paper considers certain probability-theoretic models of packet mode-transferred information distortions. Attention is drawn mainly to distortions, including possible interferences influencing multiple transfer cycles. Distortions are modeled by a consequential impacts that are defined by dependent random variables. K-dimensioned values of CRC, respectively allow representation as a sum of k-dimensioned independent random variables.

In some cases it is possible to bring them to a sum of independent terms in a k-dimensioned vector space over a two-element field and, afterwards, apply to them existing limit theorems dealing with convergence to uniform distributions.

The paper discusses prospects for impacts stretching to m cycles of acquiring convergence conditions for CRC distribution as a sum of m-dependent terms or ones not interconnected to a non-homogeneous Markov chain.