Energy detection of unknown deterministic signals in κ-μ and η-μ generalized fading channels with diversity receivers

• Published in: 2014 International Conference on Computing, Networking and Communications (ICNC) pp. 761 - 765
• Main Authors: Annamalai, A., Olaluwe, A.
• Format: Conference Proceeding
• Language: English
• Published: IEEE 01.02.2014
• Subjects: Cognitive radio; Detectors; Diversity reception; energy detection; maximal-ratio combining; moment generating function method; Rayleigh channels; Receivers; Signal to noise ratio; square-law combining; square-law selection; κ-μ and η-μ fading channels
• DOI: 10.1109/ICCNC.2014.6785432

In this article, we present an alternative moment generating function (MGF) based method for evaluating the receiver operating characteristics (ROC) of diversity energy detectors in a generalized fading environment. In contrast to the existing approaches that are based on either the circular contour integral and/or infinite series representations of the generalized Marcum Q-function Q u (.,.), we utilize an exponential-type integral for Q u (.,.) to facilitate the statistical averaging task over the independent and non-identically distributed (i.n.d) fading signal-to-noise ratios (SNRs). This leads to a very compact, exact, and an efficient solution for computing the average detection probabilities of diversity enabled energy detectors in a myriad of fading environments especially for the practical cases of square law selection (SLS) and square-law combining (SLC) diversity receivers with i.n.d and correlated fading statistics. Our unified analytical framework also encapsulates the existing results for Rayleigh, Nakagami-m, Nakagami-q and Rice fading environments by appropriate substitutions of the fading parameters in the κ-μ and η-μ generalized stochastic channel models.