@article {Tellambura2003Closed-form-and,
title = {Closed form and infinite series solutions for the MGF of a dual-diversity selection combiner output in bivariate Nakagami fading},
journal = {Communications, IEEE Transactions on},
volume = {51},
number = {4},
year = {2003},
month = {apr.},
pages = {539 - 542},
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.},
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)},
issn = {0090-6778},
doi = {10.1109/TCOMM.2003.810870},
url = {http://dx.doi.org/10.1109/TCOMM.2003.810870},
author = {Tellambura, C. and Annamalai, A. and Bhargava, V.K.}
}