On the performance analysis of energy detection of unknown signals in Gamma shadowed Ricean fading environments

In this paper, we analyze the performance of an energy detector operating over Gamma shadowed Rice fading channels, namely Rice fading channels with the fluctuating line-of-sight components following the Gamma distribution. This composite multi-path/shadowing model has been shown to provide remarkably accurate fading characterization while leading to closed-form expressions for important channel statistics. For the considered system, we first derive analytical expressions for the average probability of detection, using either the probability density function method or the moments generating function method. The application of the former method, yields a rapidly convergent infinite series representation for the average probability of detection. The latter method is based on a contour integral representation for the Marcum Q-function. Finally, an infinite series representation for the area under the receiver operating characteristic curve is derived. Extensive numerically evaluated results, accompanied with Monte-Carlo simulations, are presented to corroborate the proposed analysis, for composite multi-path/shadowing scenarios of practical interest.