Yet Another Look at the Problem of Detection of Unknown Deterministic Signals over κ-μ and η-μ Fading Channels

摘要

In this article, we present an alternative moment generating function (MGF) method for computing the averaging detection probability over stochastic fading channels. In contrast to the existing approaches based on either the circular contour integral or infinite series representations for the generalized Marcum Q-function, Q_u(.,.). We exploit an exponential-type integral for Q_u(.,.) to facilitate the statistical averaging task over channels with independent and non-identical fading statistics. We have chosen κ-μ and η-μ because it provides a unification of a variety of statistical models. Our analytical framework yields prior results with appropriate choice of the fading severity indices. Selected numerical results are also provided for the receiver-operating characteristic (ROC) of Square-law Selection (SLS) and Square-law Combining (SLC) diversity energy detectors over κ-μ and η-μ channels.