Robust adaptive beamforming with positive semi-definite constraint using single variable minimization

In this paper, we propose a new method to solve the robust adaptive beamforming problem for the general rank signal model with positive semi-definite constraint. On applying the worst-case performance optimization approach, the considered robust adaptive beamforming problem generates a non-convex optimization problem. Here, we propose a two step closed form solution of the formulated problem, wherein a new single variable minimization problem is constructed. Result of this minimization is used to solve the robust adaptive beamforming problem. Simulation results verify the improvement in the performance by the proposed method over the current robust adaptive beamforming methods for general-rank signal model.