Polynomial representation of burst error statistics

摘要

A burst error process is characterized by three variables x,y,zrelated to a two-state Gilbert-Elliott channel with fifty percent biterror rate in the bad state. The variables x and y describe the Markovprocess of the model. The variable z reflects the mean bit error rate.On such a channel, the probability of any single error sequence andhence any collection thereof can be represented by polynomials in x, y,z which extends the one-variable description in z applicable forstatistically independent errors