Adaptive beampattern synthesis with antenna selection by Iterative Shrinkage Continuation method

Beampattern synthesis with antenna selection is cast as linear inverse problem (LIP) in this paper and an iterative shrinkage based optimization method is proposed to solve this problem effectively for large antenna array. The proposed method can be used to synthesize arbitrary shaped beampattern, including multibeam forming and radiation suppression within several angular regions. Since the iterative shrinkage method converges much faster compared with other considered methods, null positions can be changed adaptively according to real-time scenarios. In order to balance the trade-off between sidelobe level and null depth, the beampattern synthesis error is reweighted by an emphasis vector. A continuation strategy is also utilised to accelerate convergence rate of the proposed algorithm and the number of selected antennas is controllable by tuning the trade-off parameter value either forward or backward during iteration progress. Numerical results assess efficiency and practicality of the proposed approach for designing non-uniformly spaced arrays adaptively of up to a few hundred antennas.