Simultaneous soundfield reproduction at multiple spatial regions

Reproduction of different sound fields simultaneously at multiple spatial regions is a complex problem in acoustic signal processing. In this paper, we present a framework to recreate 2D sound fields simultaneously at multiple spatial regions using a single loudspeakers array. We propose a novel method of finding an equivalent global sound field which consists of each individual desired sound fields by the spatial harmonic coefficients translation between the coordinate systems. This method makes full use of the available dimensionality of the sound field. Some fundamental limits are also revealed. Specifically, the number of spatial regions could be reproduced inside the single loudspeaker array is determined by the total dimensionality from each sound field.