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：本文对两种声场重放方法——加权声压匹配与加权模式匹配进行了理论与实验比较。加权声压匹配与加权模式匹配分别是传统声压匹配和模式匹配的推广。两种方法均通过在声压匹配和模式匹配中引入加权矩阵推导得出。加权声压匹配中的加权矩阵基于离散控制点声压的声场核插值进行定义；而加权模式匹配中的加权矩阵则通过球面波函数的区域积分定义。理论分析表明，通过从声压观测值估计展开系数的无限维调和分析，加权声压匹配可视为加权模式匹配的一种特例。实验进一步讨论了两者之间的差异。