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Open Access

Performance Analysis of Multibranch Dual-Hop Nonregenerative Relay Systems with EGC in Nakagami-m Channels

EURASIP Journal on Wireless Communications and Networking20102010:835498

Received: 16 July 2009

Accepted: 26 January 2010

Published: 14 February 2010


The end-to-end performance of multibranch dual-hop wireless communication systems with nonregenerative relays and equal gain combiner (EGC) at the destination over independent Nakagami-m fading channels is studied. We present new closed form expressions for probability distribution function (PDF) and cumulative distribution function (CDF) of end-to-end signal to noise ratio (SNR) per branch in terms of Meijer's G function. From these results, analytical formulae for the moments of the output SNR, the average overall SNR, the amount of fading, and the spectral efficiency are also obtained in closed form. Instead of using moments-based approach to analyze the asymptotic error performance of the system, we employ the characteristic function (CHF) method to calculate the average bit error probability (ABEP) and the outage probability for several coherent and noncoherent modulation schemes. The accuracy of the analytical formulae is verified by various numerical results and simulations.


Fading ChannelProbability Distribution FunctionOutage ProbabilityClosed Form ExpressionAnalytical Formula

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Authors’ Affiliations

School of Electrical Engineering and Telecommunications, The University of New South Wales, Sydney, Australia
Wireless Technologies Laboratory, CSIRO ICT Centre, Marsfield, Australia


© H. Q. Huynh et al. 2010

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.