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A Pseudoinverse Technique for the Pressure-Matching Beamforming Method

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In this work an extension to the pressure-matching beamforming method (PMM) that’s well-suited for transaural sound field control is presented. The method aims to improve performance at dark points, locations relative to the array where sound pressure is minimized; without producing noticeable artifacts at bright points, locations where acoustic interference is minimized. The method’s new performance priorities result from replacing Tikhonov regularization, which is conventionally used in PMM, with a purpose-built regularization strategy for solving the pseudoinverse of ill-conditioned matrices. Discussions of how this method’s formulation affects the filter design process and of performance comparisons between this and conventional PMM filters are included.

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