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Spatial extrapolation of early room impulse responses in local area using sparse equivalent sources and image source method
Applied Acoustics ( IF 3.4 ) Pub Date : 2021-04-08 , DOI: 10.1016/j.apacoust.2021.108027
Izumi Tsunokuni , Kakeru Kurokawa , Haruka Matsuhashi , Yusuke Ikeda , Naotoshi Osaka

The room impulse response (RIR) is important in most acoustic applications, such as the design of concert halls and sound field control, because it characterizes the sound propagation. The measurement of RIRs at multiple points is challenging, as it requires a huge microphone array or repeating the experiment by microphone replacement. Several RIR interpolation and extrapolation methods of RIRs have been developed for obtaining RIRs from multiple measurement points efficiently. Extrapolation methods offer more efficient RIR measurement compared to interpolation. However, previous studies focused on extrapolation at frequencies below 1 kHz, and the extrapolation at higher frequencies was difficult. In this study, we propose an extrapolation method for RIRs of direct sound and early reflections in a local area using a small number of measurement points. The proposed method represents the RIRs around the microphones using superpositions of sparse equivalent sources located around the loudspeaker and image sources. We conducted a measurement experiment in an anechoic chamber to estimate RIRs around microphones using sound-reflecting boards. From the experimental results with 2.5 dimensional conditions, the proposed method achieved about above 10 dB of signal to noise ratio (SNR) near the microphone array from 0.5–8.5 kHz. For the extrapolation accuracy over the entire evaluation area (0.6 × 0.54 m2), the proposed method improved the SNR by about 5–6 dB compared to results using the plane wave decomposition.



中文翻译:

利用稀疏等效源和图像源方法对局部早期房间冲激响应进行空间外推

在大多数声学应用中,例如音乐厅的设计和声场控制,房间脉冲响应(RIR)都很重要,因为它可以表征声音的传播。在多个点测量RIR具有挑战性,因为它需要庞大的麦克风阵列或通过更换麦克风来重复进行实验。为了有效地从多个测量点获得RIR,已经开发了几种RIR的RIR内插和外推方法。与内插相比,外插方法可提供更有效的RIR测量。但是,以前的研究集中在低于1 kHz的频率上进行外推,而在较高频率下进行外推是困难的。在这项研究中,我们提出了一种使用少量测量点的局部区域直接声音和早期反射的RIR的外推方法。所提出的方法使用位于扬声器和图像源周围的稀疏等效源的叠加来表示麦克风周围的RIR。我们在消声室中进行了测量实验,以使用声反射板估算麦克风周围的RIR。根据在2.5维条件下的实验结果,所提出的方法在0.5–8.5 kHz的麦克风阵列附近实现了大约10 dB以上的信噪比(SNR)。对于整个评估区域(0.6×0.54 m 所提出的方法使用位于扬声器和图像源周围的稀疏等效源的叠加来表示麦克风周围的RIR。我们在消声室中进行了测量实验,以使用声反射板估算麦克风周围的RIR。根据在2.5维条件下的实验结果,所提出的方法在0.5–8.5 kHz的麦克风阵列附近实现了大约10 dB以上的信噪比(SNR)。对于整个评估区域(0.6×0.54 m 所提出的方法使用位于扬声器和图像源周围的稀疏等效源的叠加来表示麦克风周围的RIR。我们在消声室中进行了测量实验,以使用声反射板估算麦克风周围的RIR。根据在2.5维条件下的实验结果,所提出的方法在0.5–8.5 kHz的麦克风阵列附近实现了大约10 dB以上的信噪比(SNR)。对于整个评估区域(0.6×0.54 m 5–8.5 kHz。对于整个评估区域(0.6×0.54 m 5–8.5 kHz。对于整个评估区域(0.6×0.54 m2),与使用平面波分解的结果相比,所提出的方法将SNR提高了约5–6 dB。

更新日期:2021-04-08
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