Abstract:
Abstract--- In this paper, the capture probabilities, Cn, defined as the probability that any of n contending packets is correctly received, are found, with reference to a random access mobile radio communications system, in the presence of fading, shadowing, and near/far effect. A Rician model for fading, which is more general than the well-studied Rayleigh fading, is considered. The capture probabilities are computed, and their dependence on the system parameters, and in particular on the Rice factor, K, is investigated. As an example of application, a Slotted ALOHA system is considered and the performance of a simple control strategy is studied. Also, some analytical results are given as to the value of C1 = limn!1 Cn, which is relevant to the study of the system stability. I.
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