Exact symbol error probabilities for SVD transmission of BPSK data over fading channels

In this paper we derive a generalized method to compute the error probabilities of singular value decomposition-based receivers for a MIMO system with uncoded transmission. The method can be used for a wide class of flat fading environments, including i.i.d. and semi-correlated Rayleigh and i.i.d. Ricean channels. Although we apply the method to equal-power BPSK, it can easily be extended to higher order M-PSK and M-QAM signal constellations and adaptive "water-filling" schemes. The error probability curves derived from closed-form formulas and simulations demonstrate very close agreement. We also compare the error performances of CI, MMSE and ZF receivers with the SVD receiver.