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Robust Adaptive Beamformer Based on Weighted Sparse Constraint

Considering the high sidelobe of the MVDR beamformer, a sparse constraint on beam pattern has been suggested to suppress the sidelobe of adaptive beamformer. Based on the sparse constraint, a modified Capon spectrum is proposed to form a new beamformer to compensate for the lack of robustness of the MVDR beamformer. In proposed method, the constructed penalty matrix gives the minimum penalty on the mainlobe region to keep its shape in existing steering vector error and meanwhile the positions of interferences distinguished from the sidelobe region by the modified Capon spectrum are imposed a larger penalty to obtain a performance of interference suppression as perfect as the MVDR beamformer's. What's more, the sidelobe level in our method is moderately controllable. Finally, an algorithm of the alternating direction method of multipliers (ADMM) is suggested to solve the problem efficiently. Numerical examples show the advantages of the proposed method in adaptive beamforming.