Contour integral representation for generalized Marcum-Q function and its application to unified analysis of dual-branch selection diversity over correlated Nakagami-m fading channels

TitleContour integral representation for generalized Marcum-Q function and its application to unified analysis of dual-branch selection diversity over correlated Nakagami-m fading channels
Publication TypeConference Paper
Year of Publication2000
AuthorsTellamura, C., A. Annamalai, and V. K. Bhargava
Conference NameVehicular Technology Conference Proceedings, 2000. VTC 2000-Spring Tokyo. 2000 IEEE 51st
Pagination1031 -1034 vol.2
Keywordsaverage error performance, bivariate Nakagami-m fading, circular contour integral representation, closed-form formula, coherent communications systems, correlated Nakagami-m fading channels, differentially coherent communications systems, diversity reception, dual-branch SC, dual-branch selection diversity, dual-diversity selection combiner, elementary functions, error statistics, fading channels, generalized Marcum-Q function, moment generating function, noncoherent communications systems, outage performance, output signal power, positive integer fading severity index, trigonometric integral representations, unified analysis
Abstract

Using a circular contour integral representation for the generalized Marcum-Q function, Qm(a,b), we derive a new closed-form formula for the moment generating function (MGF) of the output signal power of a dual-diversity selection combiner (SC) in bivariate Nakagami-m fading with positive integer fading severity index. This result involves only elementary functions and holds for any value of the ratio a/b in Qm(a,b). As an aside, we show that previous trigonometric integral representations for Qm(a,b) can be obtained directly from this contour integral. The MGF is used to unify the evaluation of average error performance and outage performance of a dual-branch SC for coherent, differentially coherent and noncoherent communications systems

URLhttp://dx.doi.org/10.1109/VETECS.2000.851281
DOI10.1109/VETECS.2000.851281

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