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arXiv 2401.03493eess.AScs.SD
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基于房间内球形阵列的声学多输入多输出系统的理论与研究

Theory and investigation of acoustic multiple-input multiple-output systems based on spherical arrays in a room

Ben Gurion University of the Negev(内盖夫本-古里安大学);University of Music and Performing Arts, Graz(格拉茨音乐与表演艺术大学)

Hai Morgenstern, Boaz Rafaely, Franz Zotter

AI总结:

本文提出基于球形扬声器和麦克风阵列的MIMO系统理论框架,用于封闭声场空间分析,证明系统在自由场下秩为1,推广至房间后秩与显著反射数相关,并通过仿真和反射分析验证了理论。

摘要:

房间声学的空间属性已广泛使用麦克风和扬声器阵列进行研究。然而,结合这两种阵列的系统(称为多输入多输出(MIMO)系统)在这一背景下仅得到了有限的研究。由于能够同时控制这两种阵列,这些系统有可能为房间声学分析提供强大的工具。本文提供了一个理论框架,用于使用包含球形扬声器和麦克风阵列的MIMO系统对封闭声场进行空间分析。系统传递函数以矩阵形式在自由场条件下被公式化,并使用线性代数工具研究其性质。结果表明,无论阵列类型如何,该系统均具有单位秩,且其奇异向量分别与麦克风和扬声器阵列的到达方向和辐射方向相关。然后,使用镜像源方法将该公式推广应用于房间。在这种情况下,系统的秩与显著反射的数量相关。论文最后进行了仿真研究,支持了所开发的理论,并利用MIMO系统平台对房间脉冲响应进行了广泛的反射分析。

英文摘要:

Spatial attributes of room acoustics have been widely studied using microphone and loudspeaker arrays. However, systems that combine both arrays, referred to as multiple-input multiple-output (MIMO) systems, have only been studied to a limited degree in this context. These systems can potentially provide a powerful tool for room acoustics analysis due to the ability to simultaneously control both arrays. This paper offers a theoretical framework for the spatial analysis of enclosed sound fields using a MIMO system comprising spherical loudspeaker and microphone arrays. A system transfer function is formulated in matrix form for free-field conditions, and its properties are studied using tools from linear algebra. The system is shown to have unit-rank, regardless of the array types, and its singular vectors are related to the directions of arrival and radiation at the microphone and loudspeaker arrays, respectively. The formulation is then generalized to apply to rooms, using an image source method. In this case, the rank of the system is related to the number of significant reflections. The paper ends with simulation studies, which support the developed theory, and with an extensive reflection analysis of a room impulse response, using the platform of a MIMO system.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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