Closed form and infinite series solutions for the MGF of a dual-diversity selection combiner output in bivariate Nakagami fading

TitleClosed form and infinite series solutions for the MGF of a dual-diversity selection combiner output in bivariate Nakagami fading
Publication TypeJournal Article
Year of Publication2003
AuthorsTellambura, C., A. Annamalai, and V. K. Bhargava
JournalCommunications, IEEE Transactions on
Volume51
Pagination539 - 542
Date Publishedapr.
ISSN0090-6778
Keywordsaverage error performance, bivariate Nakagami fading, circular contour integral representation, closed form solution, closed-form formula, coherent systems, correlated Nakagami-m fading, differentially coherent communications systems, diversity reception, dual-diversity selection combiner, dual-diversity selection combiner output, error statistics, finite-range integral representation, generalized Marcum-Q function, infinite series expression, infinite series solution, integral equations, MGF, moment generating function, noncoherent communications systems, output signal power, Rayleigh channels, Rayleigh fading channels, series (mathematics)
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 (correlated) 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 integral representations for Qm(a,b) can be obtained from a contour integral and also derive a new, single finite-range integral representation for Qm(a,b). A new infinite series expression for the MGF with arbitrary m is also derived. These MGFs can be readily used to unify the evaluation of average error performance of the dual-branch SC for coherent, differentially coherent, and noncoherent communications systems.

URLhttp://dx.doi.org/10.1109/TCOMM.2003.810870
DOI10.1109/TCOMM.2003.810870

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