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

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