Delay analysis of block coded transmission over the Gilbert-Elliott channel with interleaving and retransmission strategy

To determine the end-to-end delay in block coded transmission over the Gilbert-Elliott (1960, 1963) channel with interleaving and a retransmission strategy, the probability distribution of the number of transmissions that a packet has to go through before it succeeds has to be found. We propose an approximate method to evaluate the distribution when the error statistics are dependent. The end-to-end delay is then examined. Our study provides a way to choose an error-control scheme (i.e., an interleaver of an appropriate size with a retransmission protocol), which meets both the delay constraint and a reliability requirement