In this letter, capitalizing on the proof of a theorem presented by Blumenson and Miller many years ago, a useful closed formula for the exponentially correlated-variate Nakagamiprobability density function is proposed. Moreover, an infinite series approach for the corresponding cumulative distribution function is presented. Bounds on the error resulting from the truncation of the infinite series are also derived. Finally, in order to check the accuracy of the proposed formulation, numerical results are presented.
In this letter, an efficient approach for the evaluation of the Nakagami-multivariate probability density function (pdf) and cumulative distribution function (cdf) with arbitrary correlation is presented. Approximating the correlation matrix with a Green's matrix, useful closed formulas for the joint Nakagamipdf and cdf, are derived. The proposed approach is a significant theoretical tool that can be efficiently used in the performance analysis of wireless communications systems operating over correlative Nakagami-fading channels.
Abstract-A detailed performance analysis for the most important diversity receivers operating over a composite fading channel modeled by the Generalized-K (KG) distribution is presented. The KG distribution has been recently considered as a generic and versatile distribution for the accurate modeling of a great variety of short term fading in conjunction with long term fading (shadowing) channel conditions. For this relatively new composite fading model, expressions for important statistical metrics of maximal ratio combining (MRC), equal gain combining (EGC), selection combining (SC) and switch and stay combining (SSC) diversity receivers are derived. Using these expressions and by considering independent but not necessarily identical distributed fading channel conditions, performance criteria, such as average output signal-to-noise ratio, amount of fading and outage probability are obtained in closed form. Moreover, following the moments generating function (MGF) based approach for MRC and SSC receivers, and the Padé approximants method for SC and EGC receivers, the average bit error probability is studied. The proposed mathematical analysis is complemented by various performance evaluation results which demonstrate the accuracy of the theoretical approach.Index Terms-Generalized-K distribution, multipath/shadow fading, bit error probability (BEP), outage probability, maximal ratio combining (MRC), equal gain combining (EGC), selection combining (SC), switch and stay combining (SSC).
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