Optimum Array Beamforming for Multiple Desired Signals via the Branch-and-Bound Algorithm

Optimum array beamforming for multiple desired signals via the branch-and-bound algorithm is presented in this paper. By maximizing the output signal-to-interference-noise ratio (SINR) and restricting the sidelobe level, adaptive anti-interference and low sidelobe level are realized. Furthermore, auxiliary variables are introduced to optimize the array response phase of the desired signal to reduce the pointing error of multiple desired signals. The overall design is formulated as a quadratically constrained quadratic program (QCQP) solved by the branch-and-bound algorithm. Simulation results are given to prove the effectiveness of the proposed algorithm.