Derivation of the fundamental formulas for evaluation of codes on general types of channels
Abstract
Fritchman's partitioned Markov chain model is used in the performance analysis of various codes on communication channels in order to evaluate the probability Pb(m, n) for the occurrence of a single burst error of length m in a code word of length n, as well as the probability P(m, n) for the occurrence of m error digits in a code word of length n. The derived formulas are used to estimate the performance of errorcorrecting codes on channels represented by the Gilbert model, the generalized Gilbert model, and the Fritchman model, all having the same average biterror rate. The effectiveness and computational savings of the derived formulas are demonstrated.
 Publication:

Electronics Communications of Japan
 Pub Date:
 September 1976
 Bibcode:
 1976JElCo..59...33T
 Keywords:

 Channels (Data Transmission);
 Error Correcting Codes;
 Error Signals;
 Markov Chains;
 Probability Theory;
 Pulse Communication;
 High Frequencies;
 Partitions (Mathematics);
 Communications and Radar