Abstract:

For the problem of solving the Capon beamforming algorithm under the uncertainty set and norm of the steering vector, a novel analyzing and solving method is proposed. Via analyzing the characteristic of the optimization problem deeply, it is found that the uncertainty set constraint determines the performance, but the norm constraint is accessorial. Therefore, the optimal solution to this algorithm will be obtained by the solution of the Capon beamforming algorithm under the uncertainty set constraint scaling to meet the norm constraint. According to the proposed algorithm, the selection of the steering uncertainty constraint parameter becomes more simple. Moreover, the improvement performance of the beamforming algorithm can reach the optimal. It is also found that the greater the constraint parameter is selected, the more close to optimal is the performance of the beamforming algorithm. The simulation attests its correctness and effectiveness.