Fast sound field reproduction in box-shaped rooms: Rigid walls case

In this paper, an approach to sound field reproduction in reverberant rooms is presented. We focus on box-shaped rooms with fully reflective (rigid) walls. We propose a scheme based on mode-matching in the spatio-temporal Fourier domain combined with a simple least-squares approach to derive the loudspeaker weights that render the target sound-ield. By taking advantage of the fast Fourier transform (FFT), the method leads to a fast way to compute the loudspeaker weights. We address the reconstruction of basic sound ields (room-modes) using linear loudspeaker array conigurations. This is important, as more complex sound ields can be decomposed into a set of weighted room-modes. Our simulations show that accurate and eficient reconstruction of room-modes in a reverberant environment with perfectly reflective walls is possible.