论文标题
加权压力匹配，基于内插插值的声场繁殖
Weighted Pressure Matching Based on Kernel Interpolation For Sound Field Reproduction
论文作者
论文摘要
提出了一种称为加权压力匹配的声场繁殖方法。声场繁殖旨在使用目标区域内的多个扬声器综合所需的声场。基于优化的方法是从合成和所需声场之间错误的最小化中得出的，这与基于积分方程的方法相比，可以使用任意阵列几何形状。由于其实现的简单性，压力匹配被广泛用于基于优化的声场再现方法。它的成本函数定义为目标区域内部多个控制点处的合成误差。然后，通过解决最小二乘问题获得扬声器的驾驶信号。但是，在压力匹配中，没有考虑控制点之间的区域。我们将成本函数定义为目标区域综合误差的区域集成。在声场的内核插值的基础上，此成本函数表示为控制点的合成压力的加权方误差。实验结果表明，所提出的加权压力匹配的表现超过常规压力匹配。
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.
