On the performance analysis of the MVDR beamformer in the presence of correlated interference

Expressions are developed that describe the output of an adaptive array, based on the minimum variance distortionless response (MVDR) beamformer when multiple correlated interfering signals are present. Such signals may arise in certain multipath scenarios or in the case of smart jamming. Previous analyses considered only the case of single correlated interferer. Three scenarios of interest are examined: very high signal-to-noise ratio (SNR), moderately high SNR, and very low SNR. The analysis is based on simpler linear algebra concepts and generalizes a number of previously reported results proved for special cases. In addition, a modification of MVDR beamforming based on total least squares is introduced as a means of mitigating the sensitivity of the MVDR beamformer to uncertainties in element positions, pointing angle, etc