Abstract
— In this paper, the capture probabilities, , defined as the probability that any of contending packets is correctly received, are found, with reference to a random access mobile radio communications sys- tem, 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 fac- tor, , 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 , which is relevant to the study of the system stability.

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