Unified Modeling of Composite $\kappa -\mu$ /Gamma, $\eta -\mu$/Gamma, and $\alpha -\mu$/Gamma Fading Channels Using a Mixture Gamma Distribution With Applications to Energy Detection

In this letter, the performance of an energy detection (ED) is analyzed over different composite generalized multipath/gamma fading channels, namely, κ - μ/gamma, η - μ/gamma, and α - μ/gamma. The mixture gamma distribution is employed to approximate with high accuracy the signal-to-noise ratio for all these channels. General, mathematically tractable, and unified analytic expressions for the performance metrics of ED, i.e., the average detection probability and the average area under the receiver operating characteristics curve, are derived. The validation of our analysis is verified by comparing the analytical results to the simulation results.