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Applying a sparse constraint on the beam pattern has been suggested tosuppress the sidelobe of the minimum variance distortionless response (MVDR)beamformer recently. To further improve the performance, we add a mixed normconstraint on the beam pattern. It matches the beam pattern better andencourages dense distribution in mainlobe and sparse distribution in sidelobe.The obtained beamformer has a lower sidelobe level and deeper nulls forinterference avoidance than the standard sparse constraint based beamformer.Simulation demonstrates that the SINR gain is considerable for its lowersidelobe level and deeper nulling for interference, while the robustnessagainst the mismatch between the steering angle and the direction of arrival(DOA) of the desired signal, caused by imperfect estimation of DOA, ismaintained too.

Sidelobe Suppression for Robust Beamformer via The Mixed Norm Constraint