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A sound field reproduction method called weighted pressure matching isproposed. Sound field reproduction is aimed at synthesizing the desired soundfield using multiple loudspeakers inside a target region. Optimization-basedmethods are derived from the minimization of errors between synthesized anddesired sound fields, which enable the use of an arbitrary array geometry incontrast with integral-equation-based methods. Pressure matching is widely usedin the optimization-based sound field reproduction methods because of itssimplicity of implementation. Its cost function is defined as the synthesiserrors at multiple control points inside the target region; then, the drivingsignals of the loudspeakers are obtained by solving a least-squares problem.However, in pressure matching, the region between the control points is nottaken into consideration. We define the cost function as the regionalintegration of the synthesis error over the target region. On the basis of thekernel interpolation of the sound field, this cost function is represented asthe weighted square error of the synthesized pressures at the control points.Experimental results indicate that the proposed weighted pressure matchingoutperforms conventional pressure matching.

Weighted Pressure Matching Based on Kernel Interpolation For Sound Field Reproduction