Statistics of Ratios of Random Variables Arising in Analysis of Wireless Poisson Network

n this paper, we analyze statistics of some typical ratios of random variables (RVs) occurring in analysis of large-scalewireless networks where node locations can be represented by Poisson point processes. In such networks, fading and path-losseffects are the most important factors affecting the signal strength. We obtain formulas for the probability density, cumulativedistribution, and moment generating functions of ratios of RVs occurring under many typical scenarios in cellular-like, spectrum-sharing, and cooperative wireless networks. All obtained results are valid for arbitrary fading models of propagation paths.