Symbol Error Rate Analysis of MIMO Dual-Hop Amplify-and-Forward Relaying Systems with Transmit and Receive Beamforming

In this paper, we analyze the performance of multiple-input multiple-output (MIMO) dual-hop channel state information (CSI)-assisted amplify-and-forward (AF) relaying system with transmit and receive beam forming (T-R BF) over Rayleigh fading channels. We derive closed-form expressions for the symbol error rate (SER) of M-ary pulse amplitude modulation (M-PAM), M-ary quadrature amplitude modulation (M-QAM), M-ary phase shift keying (M-PSK) under coherent detection and M-ary frequency shift keying (M-FSK) under uncoherent detection. The expressions for M-PAM and M-FSK are exact, while the formulae for M-QAM and M-PSK are tight approximations. Numerical expressions show the accuracy of our analytical results and the validity of our approximate expressions.