Moments generating function of the harmonic mean of two non-identical gamma random variables and its applications in wireless communications |
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| Authors: | Kostas Peppas |
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| Institution: | 1. Departamento de Álgebra, Análisis Matemático, Geometría y Topología, Instituto de Investigación en Matemáticas de la Universidad de Valladolid, IMUVA, Facultad de Ciencias, Universidad de Valladolid, 47011 Valladolid, Spain;2. Fakultät für Mathematik, Universität Wien, Oskar-Morgenstern Platz 1, A-1090 Wien, Austria;1. Dipartimento di Informatica, Università degli Studi di Milano, via Comelico 39/41, I-20135 Milano, Italy;2. School of Computing Science, Simon Fraser University, Burnaby, B.C., Canada, V5A 1S6;1. Applied Mathematics Group, Industrial Research Limited, Lower Hutt, New Zealand;2. School of Mathematics, University of Manchester, Manchester M13 9PL, UK |
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| Abstract: | In this paper, a closed-form expression for the moments generating function of the half-harmonic mean of two independent, not necessarily identically distributed gamma random variables with arbitrary parameters is presented. This statistical result is useful to the performance analysis of dual-hop wireless communication systems with amplify-and-forward relays in a Nakagami-m fading environment. The proposed mathematical analysis is substantiated by various numerically evaluated and computer simulation results. |
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