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BER Analysis of MIMO Transmit-Receive Beamforming Schemes in Rayleigh Fading

In this paper, we analyze the bit error rate (BER) performance of the MIMO transmit-receive beamforming (BF) schemes over Rayleigh fading channels. In particular, by using the probability density function (pdf) of the square of the largest singular value of the channel matrix, we present the closed-form BER expressions for the MIMO BF schemes with respect to the three widely used constellations, namely, M -PAM,M -PSK and rectangular M -QAM. To gain further insight, we also derive the asymptotic average BER expressions in high signal-to-noise ratio (SNR) regime. Computer simulations of various antenna combinations show that the derived BER agrees well with the Monte Carlo experimentation result, implying that the BER performance of the MIMO BF schemes can be reliably and efficiently evaluated by the theoretical formula.