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Antenna array beamformers sufier from performance deterioration in the presence of mutual coupling (MC) between array sensors. In this paper, we present a theoretical analysis in terms of the output signal-to-interference-plus-noise ratio (SINR) for the performance of antenna array beamformers under MC efiects. Based on the model of a distortion matrix to encapsulate the MC efiects, a closed-form expression for the SINR is derived that is shown to accurately predict the SINR obtained in simulations. This theoretical formula is valid for any distortion matrix estimated from collected measurement data. The SINR formulas provide insights into the in∞uence of the MC efiects on the performances of the linearly constrained minimum variance (LCMV) beamformer and the eigenspace-based (ESB) beamformer. It is shown that the ESB beamformer outperforms the LCMV beamformer under MC efiects. Moreover, we derive the formulas for computing the eigenvalues of signal correlation matrix under MC efiects. Simulation results are presented for conflrming the validity of the theoretical results.

PERFORMANCE ANALYSIS OF ANTENNA ARRAY BEAMFORMERS WITH MUTUAL COUPLING EFFECTS