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Sound Zoning in an Ad-hoc Wireless Acoustic Sensor and Actuator Network

In this paper, the pressure matching (PM) method to sound zoning is considered in an ad-hoc wireless acoustic sensor and actuator network (WASAN) consisting of multiple audio-devices with loudspeakers and microphones. The goal of sound zoning is to simultaneously create different zones with different dominant sounds. To obtain this, a network-wide objective involving the acoustic coupling between all the loudspeakers and microphones is presented where the optimal solution is obtained by solving a quadratically constraint quadratic Program (QCQP). To allow for distributed processing, a Gauss-Seidel type algorithm is proposed. It requires only that all the nodes have access to the different microphone signals, but other than this there is no need for communication between different nodes or with a fusion center (FC). The algorithm is referred to as the distributed adaptive PM algorithm (DA-PM). The algorithm is proven to converge to the optimal solution, as also illustrated by Monte Carlo simulations and evaluated in a simulated acoustic environment.