Caviedes-Nozal Diego, Heuchel Franz M, Brunskog Jonas, Riis Nicolai A B, Fernandez-Grande Efren
Acoustic Technology Group, Department of Electrical Engineering, Technical University of Denmark, Building 352, Ørsteds Plads, DK-2800 Kongens Lyngby, Denmark.
Scientific Computing Group, Department of Applied Mathematics and Computer Science, Technical University of Denmark, Building 324, Richard Petersens Plads, DK-2800 Kongens Lyngby, Denmark.
J Acoust Soc Am. 2019 Nov;146(5):3425. doi: 10.1121/1.5133384.
In sound field reproduction and sound field control systems, the acoustic transfer functions between a set of sources and an extended reproduction area need to be accurately estimated in order to achieve good performance. This implies that large amounts of measurements should be performed if the area is large compared to the wavelengths of interest. In this paper, a method for reconstructing these transfer functions in highly damped conditions is proposed by using only a small number of measurements in the reproduction area. The source radiation is modeled with the spherical harmonics basis and its amplitude coefficients are fitted with Bayesian inference. This approach is validated in a sound field control experiment where a set of 12 control loudspeakers attenuate the sound pressure level generated by a set of six primary loudspeakers in a quiet zone while minimizing their radiation into a listening zone. The performance of the approach is studied by analyzing the sound field reconstruction and the sound field control performance. It is shown that it is possible to get-with few measurements and the source radiation model-results similar to those achieved using a dense grid of transfer function measurements.
在声场再现和声场控制系统中，为了实现良好的性能，需要精确估计一组声源与扩展再现区域之间的声学传递函数。这意味着，如果该区域与感兴趣的波长相比很大，则应进行大量测量。本文提出了一种在高阻尼条件下重建这些传递函数的方法，该方法仅在再现区域中使用少量测量。源辐射采用球谐基进行建模，其幅度系数通过贝叶斯推理进行拟合。该方法在一个声场控制实验中得到验证，在该实验中，一组12个控制扬声器在安静区域衰减由一组6个主扬声器产生的声压级，同时将它们向听音区域的辐射降至最低。通过分析声场重建和声场控制性能来研究该方法的性能。结果表明，通过少量测量和源辐射模型，可以得到与使用密集传递函数测量网格所获得的结果相似的结果。
