Symbol Detection Solving the Total Least Squares Problem Under Channel Uncertainties

The performance of V-BLAST symbol detection can be seriously degraded if channel information is not perfect. We derive a new nulling matrix at the receiver using the modified TLS (total least squares) solution under channel uncertainties. Using the new nulling matrix, we propose a modified vertical Bell laboratories layered space-time (V-BLAST) detection algorithm to reduce unexpected effects due to channel uncertainties. The proposed algorithm requires only one more scalar value, an upper bound on the 2-induced norm of a channel error matrix, which is relatively robust to the statistical changes of the channel environment, than the conventional algorithm does, but the performance is better especially at high SNR. We simulate the proposed algorithm in the presence of receiver´s mobility