Analytical Results of V-BLAST MIMO Systems with Two Transmit Antennas over Correlated Rayleigh Channels

In this paper, the performance of vertical Bell labs space-time (V-BLAST) algorithms for the MIMO systems with two transmit antennas is analyzed over correlated-Rayleigh channel. We derive the analytical bit error rates (BERs) of the first and second detection steps for both optimal and fixed detection ordering schemes. We also investigate the signal-to-noise ratio (SNR) degradation of the detection steps for correlated-Rayleigh channels over an independent and identically distributed (i.i.d.) Rayleigh channel. Afterwards, the effect of optimal ordering on the SNR improvement over fixed detection ordering has been discussed. Results have shown that the correlation reduces the SNR improvement of optimal ordering in the first step, whereas the correlation has no effect on the performance of the second step.