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On the Secondary Source Type Mismatch in Wave Field Synthesis Employing Circular Distributions of Loudspeakers

The theory of wave field synthesis has been formulated for linear and planar arrays of loudspeakers but has been found to be also applicable with arbitrary convex loudspeaker contours with acceptable error. The main source of error results from the fact that the required properties of the employed loudspeakers are dictated by the Neumann Green's function of the array geometry under consideration. For non-linear and non-planar arrays a systematic error arises which is a result of the mismatch between the spatio-temporal transfer function of the loudspeakers and the Neumann Green's function of the loudspeaker contour under consideration. We investigate this secondary source type mismatch for the case of circular distributions of loudspeakers.

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