On the SER of fixed gain amplify-and-forward relaying with beamforming in Nakagami-m fading

Authors:
Nan Yang;Maged Elkashlan;Jinhong Yuan;Tingzhi Shen
Affiliations:
School of Information and Electronics, Beijing Institute of Technology, Beijing, China and School of Electrical Engineering and Telecommunications, University of New South Wales, NSW, Australia;Wireless Technologies Laboratory, CSIRO ICT Centre, Marsfield, NSW, Australia and School of Electrical Engineering and Telecommunications, University of New South Wales, NSW, Australia;School of Electrical Engineering and Telecommunications, University of New South Wales, NSW, Australia and Wireless Technologies Laboratory, CSIRO ICT Centre, Marsfield, NSW, Australia;School of Information and Electronics, Beijing Institute of Technology, Beijing, China
Venue:
IEEE Communications Letters
Year:
2010

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Abstract

We derive the exact and asymptotic symbol error rate (SER) of multiple-input multiple-output (MIMO) relaying with a fixed gain amplify-and-forward (AaF) relay in Nakagami-m fading channels. We demonstrate that both fixed and variable gain relaying achieve the same diversity, which is jointly determined by the number of antennas and the per-hop fading parameters. We further quantify the performance gap between fixed and variable gain relaying in terms of their array gains. We prove that this gap diminishes as the first and the second hops exhibit highly asymmetric channel qualities.