Abstract
Two sound field reproduction methods, weighted pressure matching and weighted mode matching, are theoretically and experimentally compared. The weighted pressure and mode matching are a generalization of conventional pressure and mode matching, respectively. Both methods are derived by introducing a weighting matrix in the pressure and mode matching. The weighting matrix in the weighted pressure matching is defined on the basis of the kernel interpolation of the sound field from pressure at a discrete set of control points. In the weighted mode matching, the weighting matrix is defined by a regional integration of spherical wavefunctions. It is theoretically shown that the weighted pressure matching is a special case of the weighted mode matching by infinite-dimensional harmonic analysis for estimating expansion coefficients from pressure observations. The difference between the two methods are discussed through experiments.
Abstract (translated)
两种声场复制方法——加权压力匹配和加权模式匹配，进行了理论和实验比较。加权压力和模式匹配是传统的压力和模式匹配的泛化。两种方法都是通过在压力和模式匹配中引入权重矩阵来推导的。在加权压力匹配中，权重矩阵是根据从离散控制点的压力推断的声场内核插值定义的。在加权模式匹配中，权重矩阵是由球形波函数的区域集成定义的。理论上表明，加权压力匹配是加权模式匹配的一种特殊情况，通过使用无限维哈勃分析从压力观测中估计膨胀系数。两种方法之间的差异通过实验进行了讨论。
URL
https://arxiv.org/abs/2303.13027
