Loudspeaker placement for sound field reproduction by constrained matching pursuit

We describe a method for approximating a desired sound filed in a cubic region using a planar array of omnidirectional loudspeakers. For this purpose, a constrained matching pursuit algorithm is employed to find the appropriate locations of the loudspeakers. Unlike previously proposed methods for sound field approximation, this iterative procedure attempts to approximate the residual error vector at each iteration, leading to a more efficient representation of the desired field as a linear combination of the Acoustic Transfer Functions (ATFs) of the selected loudspeakers. Simulations suggest that the new method offers considerable improvement in approximation accuracy compared to uniformly placed loudspeakers, as well as another recent method for loudspeaker placement.