Performance analysis of beamforming in two hop amplify and forward relay networks with antenna correlation

Authors:
Raymond H. Y. Louie;Yonghui Li;Himal A. Suraweera;Branka Vucetic
Affiliations:
Telecommunications Laboratory, School of Electrical and Information Engineering, University of Sydney and Wireless Technologies Laboratory, ICT Centre, CSIRO, Epping, NSW, Australia;Telecommunications Laboratory, School of Electrical and Information Engineering, University of Sydney and Wireless Technologies Laboratory, ICT Centre, CSIRO, Epping, NSW, Australia;School of Electrical Engineering, Victoria University, Melbourne, Victoria, Australia;Telecommunications Laboratory, School of Electrical and Information Engineering, University of Sydney and Wireless Technologies Laboratory, ICT Centre, CSIRO, Epping, NSW, Australia
Venue:
IEEE Transactions on Wireless Communications
Year:
2009

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Abstract

The performance of beamforming with antenna correlation in a two hop Amplify and Forward (AF) multiple-input multiple-output (MIMO) relay network is analyzed. This network consists of a single relay which is used to amplify and forward the signal from the source to the destination. The source and destination are both equipped with multiple antennas, which are correlated in space, while the relay has a single antenna. In this paper, we derive new closed form expressions for the outage probability and probability density function of the received signal-to-noise ratio (SNR) at the destination. We also present exact symbol error rate expressions for the two hop AF MIMO relay network, and show that the full spatial diversity order can be achieved. Our results also indicate that spatial correlation is detrimental to the outage probability and symbol error rate at high SNR, and beneficial at low SNR.