SIR Distribution Analysis in Cellular Networks Considering the Joint Impact of Path-Loss, Shadowing and Fast Fading
In this paper, the authors propose an analysis of the joint impact of path-loss, shadowing and fast fading on cellular networks. Two analytical methods are developed to express the outage probability. The first one based on the Fenton-Wilkinson approach, approximates a sum of log-normal random variables by a log-normal random variable and approximates fast fading coefficients in interference terms by their average value. They denote it FWBM for Fenton-Wilkinson Based Method. The second one is based on the central limit theorem for causal functions. It allows to approximate a sum of positive random variables by a Gamma distribution.