Phase-only Beamforming Based on Iterative Second-order Cone

The adaptive phase-only beamforming technique is very important for conventional phased array radar to suppress interference. For the digital array radar, the phase-only technique can be used to enhance the radar power by making full use of transmitting module microwave power of each array element. In this paper, a novel phase-only algorithm is proposed. Assuming that the initial phase weight vector has a small phase perturbation, the objective function and constraint function can be replaced by the first-order Taylor expansion, thus the original non-convex problem becomes the convex optimization problem, which can be solved using Second-Order Cone Programming (SOCP). The new weight vector is obtained through updating the current weight vector using the solved perturbation vector. The current weight vector is replaced by the new weight vector and the above procedure is repeated until the array pattern meets the termination condition. The computer simulation results demonstrate the correctness and effectiveness of the proposed approach.