Gain/phase autocalibration algorithm via second-order cone programming for robust beamforming

This paper presents an effective sensor gain and phase autocalibration method for robust beamforming. In this proposed approach, the gain and phase estimation problem and beamforming optimization problem are all formulated as the second-order cone programming (SOCP) problems. The unknown gain and phase parameters, directions-of-arrival (DOAs) of incoming signal sources and optimal weight vector can be estimated simultaneously. At the same time, the presented method can guarantee that the nulling level is strictly below the prescribed threshold. Simulation results are presented to verify the efficiency of the proposed method.