Alternating direction method of multipliers for weighted atomic norm minimization in two-dimensional grid-free compressive beamforming

Abstract

An algorithm is developed based on alternating direction method of multipliers to solve the weighted atomic norm minimization in two-dimensional grid-free compressive beamforming. Simulations and experiments are carried out to compare this algorithm with the off-the-shelf interior point method based sdpt3 solver in cvx toolbox. Whether a standard uniform rectangular array or a non-uniform array constructed by a small number of microphones is utilized, this algorithm is feasible and faster.