Outage Probability Analysis in Generalized Fading Channels with Co-Channel Interference and Background Noise: η-μ/η-μ, η-μ/κ-μ, and κ-μ/η-μ Scenarios

Abstract

In this paper, we present expressions for the cumulative distribution function (CDF) of a specially constructed random variable (RV) represented by the ratio of two generalized RVs. The obtained theoretical results are used to evaluate the outage probability in scenarios with η-μ-faded signals of interest (SoI), η-μ- or κ-μ-faded co-channel interference (CCI), and background white Gaussian noise. Our results are applicable also to scenarios where the SoI passes through the κ-μ fading channel, and the interfering signals are η-μ-faded. The derived results can be used if all parameters μ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">i</sub> of the η-μ models representing the statistical distributions of either the SoI components or CCI components are integers. We prove, in particular, that in the former case, the CDF is expressed in terms of elementary functions.