Analytical Approach to Wave Field Reconstruction Filtering in Spatio-Temporal Frequency Domain
Analytical Approach to Wave Field Reconstruction Filtering in Spatio-Temporal Frequency Domain
复制标题
时空频域波场重构滤波解析方法
DOI：
10.1109/tasl.2012.2229985
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Y. Haneda
中科院分区：
文献类型：
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作者：
Shoichi Koyama;K. Furuya;Y. Hiwasaki;Y. Haneda
为了在大范围内传输物理声场，需要将麦克风阵列的接收信号转换为扬声器阵列的驱动信号以再现声场。我们提出了一种通过使用麦克风和扬声器的平面或线性阵列来变换这些信号的方法。从波在时空频域中传播的物理方程出发，解析地推导出连续变换方程。通过引入空间采样，导出了唯一确定的变换滤波器，称为波场重构滤波器(WFR滤波器)。数值模拟表明，WFR滤波器可以获得与传统最小二乘(LS)方法相同的性能。然而，由于WFR滤波器被表示为空间卷积，因此它在滤波器设计、滤波器大小、计算成本和滤波器稳定性方面都比LS方法设计的变换滤波器具有许多优势。
For transmission of a physical sound field in a large area, it is necessary to transform received signals of a microphone array into driving signals of a loudspeaker array to reproduce the sound field. We propose a method for transforming these signals by using planar or linear arrays of microphones and loudspeakers. A continuous transform equation is analytically derived based on the physical equation of wave propagation in the spatio-temporal frequency domain. By introducing spatial sampling, the uniquely determined transform filter, called a wave field reconstruction filter (WFR filter), is derived. Numerical simulations show that the WFR filter can achieve the same performance as that obtained using the conventional least squares (LS) method. However, since the proposed WFR filter is represented as a spatial convolution, it has many advantages in filter design, filter size, computational cost, and filter stability over the transform filter designed by the LS method.