Markov Gap Model with Memory for Digital Channels
Pramod K. Varshney · Defense Technical Information Center (DTIC) · 1974
The volumes of information to be transmitted in digital communications have increased tremendously in recent years, necessitating the use of computers at the receiver for error control. For accurate transmission of information many codes have been developed with error correcting capabilities. But a code that minimizes the probability of error for a channel depends on the properties of the channel. For instance, a code that minimizes the probability of error for a channel in which the errors occur randomly does not, in general, minimize the probability of error for a channel in which the errors occur in bursts. Therefore, one needs to know the statistical properties of the channel before an appropriate error correcting code could be selected. A mathematical model of the channel is used to represent the necessary error statistics of the channel. The model represents the input-output characteristics of the channel and does not attempt to model the actual physical process causing the errors.