A method is presented for simulating the free-field, frequency-dependent directivity of linear sound sources for use in real-time within geometric acoustic environments. The method, which is applied to modeling the directivity of a violin body and a clarinet air column from experimental acoustic data in this study, is based on using minimum-phase measurements to design a state-space filter, allowing the interactive simulation of a time-varying number of radiated sound wavefronts, each toward a time-varying direction. With applicability in sound synthesis and/or auralization within virtual environments, where sound sources change position and orientation dynamically, techniques are proposed for modeling and simulating directivity profiles on perceptual frequency axes with alternatives for representing directivity on a per-vibration-mode basis while incorporating relative phase terms or by reduced-order efficient representations comprising separate components for the signature resonant structure and the associated directivity on an adjustable frequency resolution.

中文翻译：

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声源指向性的状态空间建模：小提琴和单簧管的实验研究

提出了一种方法，用于模拟线性声源的自由场，频率相关的方向性，以便在几何声学环境中实时使用。该方法基于本研究中使用最小相位测量来设计状态空间滤波器，从而可以对时间进行交互式仿真，该方法用于根据实验声学数据对小提琴琴体和单簧管气柱的指向性进行建模。数量不同的辐射声波前，每个波前朝向时变方向。随着声源动态改变位置和方向的虚拟环境中声音合成和/或听觉的适用性，