The distribution of the ratio of the products of two independent α-μ Variates and its application in the performance analysis of relaying communication systems

Abstract

We present novel general, simple, exact, and closed-form expressions for the probability density function (PDF) and cumulative distribution function (CDF) of the ratio of the products of two independent α-μ variates, where all variates have identical values of alpha parameter. Obtained results are applied in analysis of multihop wireless communication systems in different fading transmission environments. The proposed theoretical analysis is also complemented by various graphically presented numerical results. © 2013 Ana Matović et al.