Title | Closed form and infinite series solutions for the MGF of a dual-diversity selection combiner output in bivariate Nakagami fading |
Publication Type | Journal Article |
Year of Publication | 2003 |
Authors | Tellambura, C., A. Annamalai, and V. K. Bhargava |
Journal | Communications, IEEE Transactions on |
Volume | 51 |
Pagination | 539 - 542 |
Date Published | apr. |
ISSN | 0090-6778 |
Keywords | average 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. |
URL | http://dx.doi.org/10.1109/TCOMM.2003.810870 |
DOI | 10.1109/TCOMM.2003.810870 |