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Topology Aware Link Throughput of Slotted Aloha in Rayleigh Block Fading Channels

In this work, we present an accurate analysis of the probability of successful transmission in a slotted Aloha network with an arbitrary topology, provided that the channel can be accurately modeled as Rayleigh block fading channels. The obtained expression also takes into account the effect of different physical layer parameters such as modulation and coding methods. However, its computational complexity grows quickly as the network size increases. To address this, we also present an accurate approximation method in which the probability of success for a link is predicted by considering only a subset of the interfering nodes. A sufficient condition for the accuracy of this prediction is also presented. The validity of the proposed methods are verified by a series of simulations.