Weighted Pressure Matching Based on Kernel Interpolation For Sound Field Reproduction

TL;DR

This paper introduces a weighted pressure matching method for sound field reproduction that improves accuracy by considering regional errors through kernel interpolation, outperforming traditional pressure matching.

Contribution

The paper proposes a novel weighted pressure matching approach that incorporates regional error integration via kernel interpolation, enhancing sound field reproduction accuracy.

Findings

Outperforms conventional pressure matching in experiments

Effectively incorporates regional errors into the optimization process

Improves sound field synthesis quality

Abstract

A sound field reproduction method called weighted pressure matching is proposed. Sound field reproduction is aimed at synthesizing the desired sound field using multiple loudspeakers inside a target region. Optimization-based methods are derived from the minimization of errors between synthesized and desired sound fields, which enable the use of an arbitrary array geometry in contrast with integral-equation-based methods. Pressure matching is widely used in the optimization-based sound field reproduction methods because of its simplicity of implementation. Its cost function is defined as the synthesis errors at multiple control points inside the target region; then, the driving signals of the loudspeakers are obtained by solving a least-squares problem. However, in pressure matching, the region between the control points is not taken into consideration. We define the cost function as the regional integration of the synthesis error over the target region. On the basis of the kernel interpolation of the sound field, this cost function is represented as the weighted square error of the synthesized pressures at the control points. Experimental results indicate that the proposed weighted pressure matching outperforms conventional pressure matching.