A Weighted Least Squares Beam Shaping Technique for Sound Field Control

A weighted least squares beam shaping technique for sound field control using a loudspeaker array is proposed. Given a desired spatial response at prescribed control points, the space-time filter is designed by solving a least squares minimization problem. To reduce the computational effort, we propose to place control points only along an arc of circumference centered at the center of the array and passing through a region of interest. Furthermore, we adopt a weighted least squares approach for the design of the space-time filter, so that control points at directions towards which we admit a looser control of the sound field are less relevant in the filter design. The choice of the weights depends on the specific application and we demonstrate the feasibility of the proposed approach for sound zones scenario with one bright and one dark zone.