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An analytical technique for the outage and BER analysis of the nx2 V-BLASTalgorithm with the optimal ordering has been presented in [1], includingclosed-form exact expressions for average BER and outage probabilities, andsimple high-SNR approximations. The analysis in [1] is based on the followingessential approximations: 1. The SNR was defined in terms of totalafter-projection signal and noise powers, and the BER was analyzed based ontheir ratio. This corresponds to a non-coherent (power-wise) equal-gaincombining of both the signal and the noise, and it is not optimum since it doesnot provide the maximum output SNR. 2. The definition of the totalafter-projection noise power at each step ignored the fact that theafter-projection noise vector had correlated components. 3. The after-combiningnoises at different steps (and hence the errors) were implicitly assumed to beindependent of each other. Under non-coherent equal-gain combining, that is notthe case. It turns out that the results in [1] hold also true without theseapproximations, subject to minor modifications only. The purpose of this noteis to show this and also to extend the average BER results in [1] to the caseof BPSK-modulated V-BLAST with more than two Rx antennas (eq. 18-20).Additionally, we emphasize that the block error rate is dominated by the firststep BER at the high-SNR mode (eq. 14 and 21).

Amendment to "Performance Analysis of the V-BLAST Algorithm: An Analytical Approach." [1]