On the Performance Analysis of an Energy Detector over Composite Generalized Multipath/Gamma Fading Channels

In this letter, the performance of an energy detector (ED) is analysed over different generalized multipath fading channels namely κ − μ, η − μ and α − μ shadowed by gamma distribution. The mixture gamma (MG) distribution is used to model the probability density function (PDF) of the signal-tonoise-ratio (SNR) for all channels. General tractable unified closed-form analytic expressions for the performance metrics are obtained. Both the average detection probability, Pd, and the average area under the receiver operating characteristics curve (AUC) which are mainly utilised in evaluating the performance of ED are derived. To validate our analysis, the numerical results are compared with the simulated results.