MAGNITUDE CONSTRAINT MINIMUM VARIANCE BEAMFORMER WITH CONJUGATE SYMMETRIC CONSTRAINT AND NORM CONSTRAINT
In this paper, an improved robust minimum variance beamformer against direction of arrival (DOA) mismatch and flnite sample efiect is proposed. Multiple inequality magnitude constraints are imposed to broaden the main lobe of beampattern. The conjugate symmetric structure of the optimal weight is utilized to transform the non-convex inequality magnitude constraints into convex ones. A quadratic constraint on the norm of weight is introducing to make further improvement on robustness against DOA mismatch and flnite sample efiect. The proposed beamforming problem can be reformulated in the form of the second order cone programming and solved e-ciently by interior point method. Simulation results show that the proposed beamformer outperforms several other adaptive beamformers.