This paper addresses the calibration problem for digital sound projection in the context of uncertain scene geometry. The image method is extended to handle uncertainties in the description of reflectors, specifically the distance parameter, relative to the source and/or receiver. Under the assumption that the source is a linear array of loudspeakers parallel with the back wall of a rectangular room, a novel extended image method is applied to compute probability distributions for the beamforming parameters for digital sound projection. The calibration is enriched with information available from probability distributions of the planar reflectors in the scene. Computer simulations are conducted to validate the calibration accuracy and to evaluate the performance of system. The expected deviation from optimum performance is quantified by analyzing the expected soundfield at the receiver position. This paper also highlights the sensitivity of digital sound projectors to measurement errors under certain constrained conditions.
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