Multizone sound field synthesis based on the joint optimization of the sound pressure and particle velocity vector on closed contours

In this paper, we propose a novel approach to multizone sound reproduction, which is motivated by the Kirchhoff-Helmholtz integral equation and aims at the simultaneous optimization of the sound pressure and particle velocity vector on contours around multiple local listening areas. The benefit of this approach is that the control points do not need to be distributed within the local listening areas, as is typically the case for previous multipoint approaches, but on surrounding contours only. This is especially desirable when it comes to practical realizations using real microphones as control points. A closed-form solution is presented for determining the loudspeaker weights in the frequency domain, and the effectiveness of the proposed method, which we refer to as Joint Pressure and Velocity Matching (JPVM), is validated by simulation results.