Broadband Multizone Sound Rendering by Jointly Optimizing the Sound Pressure and Particle Velocity

摘要

In this paper, a recently proposed approach to multizone sound fieldsynthesis, referred to as Joint Pressure and Velocity Matching (JPVM), isinvestigated analytically using a spherical harmonics representation of thesound field. The approach is motivated by the Kirchhoff-Helmholtz integralequation and aims at controlling the sound field inside the local listeningzones by evoking the sound pressure and particle velocity on surroundingcontours. Based on the findings of the modal analysis, an improved version ofJPVM is proposed which provides both better performance and lower complexity.In particular, it is shown analytically that the optimization of the tangentialcomponent of the particle velocity vector, as is done in the original JPVMapproach, is very susceptible to errors and thus not pursued anymore. Theanalysis furthermore provides fundamental insights as to how the sphericalharmonics used to describe the 3D variant sound field translate into 2D basisfunctions as observed on the contours surrounding the zones. By means ofsimulations, it is verified that discarding the tangential component of theparticle velocity vector ultimately leads to an improved performance. Finally,the impact of sensor noise on the reproduction performance is assessed.