The acoustic intensity vector and energy density are perceptually relevant physical measures of a sound field that can be used in the context of sound field reproduction or acoustic parameter estimation. In this work, weighted spatial averaging of the intensity vector and energy density is investigated, and the results are expressed in terms of the spherical harmonic coefficients of the sound field. Higher-order spherical harmonic coefficients are incorporated by considering radial averaging. This radial averaging is then generalized, yielding the proposed generalized intensity vector and energy density. Direction-of-arrival and diffuseness estimators are constructed based on the generalized intensity vector and energy density. In the evaluation, the proposed parameter estimators are compared to existing state-of-the-art estimators using simulated signals containing directional, diffuse, and sensor-noise components.

中文翻译：

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球谐域中的广义强度矢量和能量密度：理论与应用

声强度矢量和能量密度是声场的感知相关物理量度，可用于声场再现或声学参数估计的上下文中。在这项工作中，研究了强度矢量和能量密度的加权空间平均，结果用声场的球谐系数表示。通过考虑径向平均来合并高阶球谐系数。然后对这种径向平均进行概括，产生建议的广义强度向量和能量密度。到达方向和扩散估计器是基于广义强度矢量和能量密度构建的。在评估中，