Robust beamforming based on convex programming with sidelobe and signal direction mismatch control

The performance of Beamforming has been significantly improved in antenna array signal processing during recent years. To suppress high sidelobe levels of output beampattern and signal direction mismatches, some notable optimization techniques have been developed. In this paper, an improved convex optimization problem is introduced, which minimizes beamformer output power via using a modified objective function. In addition, to increase the convexity of the proposed approach, an ℓ1-norm constraint is applied to the main problem in order to considerably nullify the interference signals. Moreover, the proposed method effectively deals with steering vector mismatch errors. Simulation results demonstrate the efficiency of the proposed method over the other robust beamforming methods.