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.

翻译：本文对两种声场复制方法进行了理论和实验比较：加权压力匹配和加权模匹配。加权压力匹配和模匹配是传统压力匹配和模匹配的推广。两种方法都是通过引入加权矩阵在压力匹配和模匹配中得到的。在加权压力匹配中，加权矩阵是基于从离散控制点压力的核插值推导得到的声场插值矩阵。在加权模匹配中，加权矩阵是由球面波函数的区域积分定义的。理论上证明了由压力观测来估计展开系数的无限维谐波分析是加权压力匹配的一种特殊情况。通过实验讨论了两种方法之间的差异。