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  A new approach to adaptive beamforming with nulling broadens and sidelobe control is developed.The proposed beamformer represents a modification of the popular minimum variance distortionless response(MVDR) beamformer,which minimizes the array output power while maintaining the distortionless response in the direction of the desired signal.In this paper,a number of interfering signals are assumed to be incident on the array from the sidelobe region for nulling broadens.In addition,the proposed method can make sure that the sidelobe level is strictly guaranteed to be lower than some given(prescribed) threshold value.The resulting modified MVDR problem is shown to be convex,and its second-order cone(SOC) formulation is obtained that facilitates a computationally efficient way to implement our beamformer using the interior point method.Simulation results are presented to verify the effectiveness of the proposed method.……