Abstract
The throughput efficiency and probability of undetected error of automatic-repeat-request (ARQ) protocols employing slow frequency hopping over Gilbert-Elliott (1960, 1963) fading channels are investigated. Throughput efficiency formulas for the three basic ARQ schemes, stop-and-wait (SW), go-back-N (GBN), and selective-repeat (SR), are obtained, and the improvement in throughput efficiency due to slow frequency hopping is examined. Results are also presented on the problem of determining the number of carriers used for frequency hopping so as to minimize the effect of fading channel memory and, therefore, optimize system performance. This work has application to TDMA architectures and packet data services for third generation wireless networks, where projected data service requirements call for error rates on the order of 10/sup -9/, and the multiple service, multiple access environment demands that the delay for any service be minimized. >
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