Statistics of ratios of random variables arising in analysis of wireless Poisson networks

Abstract

In this study, the author analyses statistics of some typical ratios of random variables (RVs) occurring in analysis of large-scale wireless networks where node locations can be represented by Poisson point processes. In such networks, fading and path-loss effects are the most important factors affecting the signal strength. The author obtains formulas for the probability density, cumulative distribution 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.