Performance of Cognitive Radio Systems over $\kappa-\mu$ Shadowed with Integer $\mu$ and Fisher-Snedecor $\mathcal{F}$ Fading Channels

TL;DR

This paper evaluates the performance of cognitive radio systems over ka-ered and Fisher-Snedecor  fading channels, deriving new closed-form expressions and analyzing detection and data rate metrics.

Contribution

It introduces novel exact closed-form expressions for ka-ered fading with integer parameters and analyzes key performance metrics of cognitive radio systems over these channels.

Findings

Derived closed-form PDFs and CDFs for ka-ered fading with integer parameters.

Analyzed detection probability and AUC for energy detection in cognitive radios.

Validated results through simulations and comparisons with conventional models.

Abstract

In this paper, we analyze the performance of cognitive radio (CR) systems over different composite generalized multipath /shadowed fading scenarios. The \k{appa}-{\mu} shadowed and Fisher-Snedecor F fading channels which are proposed as a simple and high accurate distributions in comparison with generalized-K (KG) and Nakagami-m shadowed conditions are used in this analysis. For the \k{appa}-{\mu} shadowed, a novel simple exact closed-form analytic expression for the probability density function (PDF) and the cumulative distribution function (CDF) are introduced by assuming the fading parameters are integer numbers. To this end, the detection performance metrics, namely, the average detection probability and the average area under the receiver operating characteristics curve (AUC) which are used in the analysis of energy detection and the effective rate and the effective rate are derived. To validate the results of this work, comparisons between the simulated and numerical results as well as with various conventional channel models and scenarios are given.