Three-Dimensional Sound Field Reproduction Based on Weighted Mode-Matching Method
Three-Dimensional Sound Field Reproduction Based on Weighted Mode-Matching Method
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DOI：
10.1109/taslp.2019.2934834
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发表时间：
2019-08
期刊：
影响因子：
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通讯作者：
Natsuki Ueno;Shoichi Koyama;H. Saruwatari
中科院分区：
文献类型：
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作者：
Natsuki Ueno;Shoichi Koyama;H. Saruwatari
提出了一种基于声场球面波函数展开的声场再现方法，该方法可以灵活地应用于各种阵列几何形状和指向性。首先，我们制定的声场合成作为一个最小化问题的一些范数之间的差异所需的和合成的声场，然后最佳的驱动信号推导出使用球面波函数展开的声场。这种提法是密切相关的模式匹配方法，所提出的方法的一个主要优点是最佳的权重模式确定根据范数最小化，而不是经验截断模式匹配方法。我们还提供了一些例子的规范和相应的权重的分析形式。该方法同时考虑了室内和室外声场的再现，并讨论了多区域再现和室内与室外相消再现等应用问题。数值模拟结果表明，该方法比现有的压力匹配和模式匹配方法具有更高的再现精度。
A sound field reproduction method based on the spherical wavefunction expansion of sound fields is proposed, which can be flexibly applied to various array geometries and directivities. First, we formulate sound field synthesis as a minimization problem of some norm on the difference between the desired and synthesized sound fields, and then the optimal driving signals are derived by using the spherical wavefunction expansion of the sound fields. This formulation is closely related to the mode-matching method; a major advantage of the proposed method is the optimal weight on the mode determined according to the norm to be minimized instead of the empirical truncation in the mode-matching method. We also provide some examples of norms and their corresponding weights in analytical forms. Both interior and exterior sound field reproduction are considered in the proposed method, and some applications, such as multizone reproduction and interior reproduction with exterior cancellation, are also discussed. Numerical simulation results indicated that higher reproduction accuracy can be achieved by the proposed method than by the current pressure-matching and mode-matching methods.