Models of the formation of CRC values and monitoring sums under the conditions of multiple distortions
Some probability-theoretical models of packet-mode-transmitted information distortions have been considered. The main attention has been paid to distortions, including the possible interferences that affect several transmission cycles. Distortions are simulated by a sequence of impacts determined by dependent random variables. Correspondingly, k-dimensional CRC values also allow them to be represented as the sum of k-dimensional, differently distributed, dependent random terms. In some cases, they can be reduced to the sums of independent terms in a k-dimensional vector space over a field of two elements; then, the known limit theorems on the convergence to uniform distributions become applicable to them. For impacts that stretch to mcycles, the prospects of obtaining convergence conditions for CRC distributions in the case of sums of m-dependent terms or terms that form a nonhomogeneous Markov chain have been discussed.