Sound field reproduction using the Lasso
IEEE Transactions on Audio, Speech, and Language Processing
Sound field reproduction using planar and linear arrays of loudspeakers
IEEE Transactions on Audio, Speech, and Language Processing
Wavefield Analysis Over Large Areas Using Distributed Higher Order Microphones
IEEE/ACM Transactions on Audio, Speech and Language Processing (TASLP)
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Reproduction of a soundfield is a fundamental problem in acoustic signal processing. A common approach is to use an array of loudspeakers to reproduce the desired field where the least-squares method is used to calculate the loudspeaker weights. However, the least-squares method involves matrix inversion which may lead to errors if the matrix is poorly conditioned. In this paper, we use the concept of theoretical continuous loudspeaker on a circle to derive the discrete loudspeaker aperture functions by avoiding matrix inversion. In addition, the aperture function obtained through continuous loudspeaker method reveals the underlying structure of the solution as a function of the desired soundfield, the loudspeaker positions, and the frequency. This concept can also be applied for the 3-D soundfield reproduction using spherical harmonics analysis with a spherical array. Results are verified through computer simulations.