DISTRIBUTED MVDR BEAMFORMING FOR (WIRELESS) MICROPHONE NETWORKS USING MESSAGE PASSING
Richard R. Heusdens, Guoqiang Zhang, Richard Christian Hendriks, Yuan Zeng, Willem Bastiaan Kleijn · 2012
In this paper we present a distributed algorithm for MVDR beam-forming which is based on message passing. The message-passing algorithm performs generalized linear-coordinate descent (GLiCD) operations to exchange messages between neighboring microphone nodes, which converges increasingly fast as the noise correlation ma-trix becomes more and more diagonal. The algorithm makes use of a trade-off parameter which controls the off-diagonal energy of the noise correlation matrix. For the case the noise correlation matrix is truly diagonal, the performance of the GLiCD algorithm is equiva-lent to that of the delay-and-sum beamformer (DSB). The algorithm does not require any constraint on the network topology, is fully scal-able and can exploit sparse network geometries, thereby making it suitable for distributed signal processing in large scale networks. Index Terms — beamforming, MVDR, message passing, GLiCD 1.