A trivariate Nakagami-m distribution with arbitrary covariance matrix and applications togeneralized-selection diversity receivers

Authors:
Kostas Peppas;Nikos C. Sagias
Affiliations:
Laboratory of Mobile Communications, Institute of Informatics and Telecommunications, National Centre for Scientific Research-"Demokritos," Athens, Greece;Department of Telecommunications Science & Technology, School of Applied Sciences and Technology, University of Peloponnese, Tripolis, Greece
Venue:
IEEE Transactions on Communications
Year:
2009

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Abstract

This paper deals with a trivariate Nakagami-m distribution derived from the diagonal elements of a Wishart matrix. For this distribution, infinite series representations for its probability density and cumulative distribution functions are derived having an arbitrary covariance matrix and integer-order fading parameters. Moreover, upper bounds on the error resulting from truncating the infinite series are obtained. Based on the derived formulas, the performance of triple-branch generalized-selection combining (GSC) receivers is analyzed. For this type of receivers, the outage and the average bit error probability for a variety of modulation schemes are analytically obtained. The performance of GSC receivers is compared to that of conventional selection and maximal-ratio diversity schemes. In order to check the accuracy and convergence of the derived formulas, various performance evaluation results are presented and compared to equivalent simulation ones.