Robust Superdirective Beamforming Based on ADPM

Abstract

Some characteristics of array in superdirective beamformers contradict each other such as spatially white noise and position errors. The white noise amplification of the array itself is the main problem to be solved in superdirective beamforming, which can be evaluated by a robustness measure, the White Noise Gain (WNG). In this paper, we present an optimization problem for beamformer design with an efficient method which incorporates constraints for the WNG and least-squares for constant beamwidth into beamformer design, and then solve it based on alternating direction penalty method (ADPM) Algorithm. The effectiveness of the proposed method is demonstrated by numerical results.