Ad Hoc Microphone Array Beamforming Using the Primal-Dual Method of Multipliers

In the recent years, there have been increasing amount of researches aiming at optimal beamforming with ad hoc microphone arrays, mostly with fusion-based schemes. However, huge amount of computational complexity and communication overhead impede many of these algorithms from being useful in practice. In this paper, we propose a low-footprint optimization approach to reduce the convergence time and overheads for the convex beamforming problem. We transcribe the beamforming with pseudo-coherence-based formulation which is insightful for taking into account the nature of speech. We formulate the distributed linearly-constrained minimum variance beamformer using the the state of the art primal-dual method of multipliers. We study the proposed algorithm with an experiment.