In this paper, we analyse the joint impact of pathloss, shadowing and fastfading on wireless networks. Taking into account the pathloss and theshadowing, we first express the SINR distribution of a mobile located at agiven distance from its serving base-station (BS). The moments of thisdistribution are easily computed, using the Fenton-Wilkinson method, and afluid model that considers the cellular network as a continuum of BS. Thenconsidering the joint impact of pathloss, shadowing and fast fading, we derivean easily computable outage probability formula, for a mobile located at anydistance from its serving BS. We validate our approach by comparing all resultsto Monte Carlo simulations performed in a traditional hexagonal network.Indeed, we establish that the results given by the formula are close to theones given by Monte Carlo simulations. The proposed framework is a powerfultool to study performances of cellular networks e.g. OFDMA systems (WiMAX,LTE).
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