Phase-only Beamforming via Iterative Majorization Minimization

To improve the interference and noise suppression ability of Phase-Only Beamforming (POB) and the real-time performance to obtain the optimal weight of the uon-convex POB, a phase-only Minimum Variance Distortion-less Response Beamformer (MVDRB) via the Iterative Majorization Minimization (IMM) algorithm is designed. The distortion-less response constraint is transformed into maximizing array response in the desired direction. The upper bound function of the objective function in quadratic form is derived which generates the IMM-POB model. The optimal weight in closed-form for each iteration is further deduced. Simulation analysis illustrates that the proposed IMM-POB can obtain better signal to interference and noise ratio improvement compared with the existing iterative POB algorithms and the optimal MVDRB; its interference suppression ability approximates the optimal MVDRB with better noise suppression ability; it is much less sensitive to the number of array taps compared with the optimal MVDRB; it has strong real-time performance and can be applied to large-scale array.