PROBABILITY OF UNDETECTED ERROR OF HYBRID ARQ OVER THE GILBERT-ELLIOTT CHANNEL

Abstract- The authors present a method for computing the probability of undetected error of hybrid ARQ over the Gilbert-Elliott channel. The method described by El-liott is extended to the case where the code is used for error detection and error correction simultaneously (hybrid ARQ. type-I). This analytical approach to the evaluation of the probability of undetected error allows to calculate the throughput as a function of the code rate and length, and to design systems that maximize the throughput, given the channel parameters and the desired undetected error probability. Keywords- Hybrid ARQ, Gilbert-Elliott channel, Through-put, Probability of undetected error