  In this paper, we derive closed-form exact expressions for the main
statistics of the ratio of squared alpha-mu random variables, which are of
interest in many scenarios for future wireless networks where generalized
distributions are more suitable to fit with field data. Importantly, different
from previous proposals, our expressions are general in the sense that are
valid for non constrained arbitrary values of the parameters of the alpha-mu
distribution. Thus, the probability density function, cumulative distribution
function, moment generating function, and higher order moments are given in
terms of both (i) theFox H-function for which we provide a portable and
efficient Wolfram Mathematica code and (ii) easily computable series
expansions. Our expressions can be used straightforwardly in the performance
analysis of a number of wireless communication systems, including either
interference-limited scenarios, spectrum sharing, full-duplex or physical-layer
security networks, for which we present the application of the proposed
framework. Moreover, closed-form expressions for some classical distributions,
derived as special cases from the alpha-mu distribution, are provided as
byproducts. The validity of the proposed expressions is confirmed via Monte
Carlo simulations.
