The three-dimensional acoustic intensimetry employing multiple probe-modules are implemented for estimating the source distance by calculating the nearest intersection points of the vectors. The probe spacing, source localization error, and source distance affect the estimation error. It is found that the intensity vectors indicating the source location diverge in some directions due to the geometric singularity. Numerical and experimental tests are conducted with three probe-modules configured as an equilateral triangle on a plane. The result reveals that the large error due to geometric singularity can be significantly reduced by only excluding the corresponding vectors that cause the divergence.

中文翻译：

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使用多个强度矢量的声源距离估计。

实现了采用多个探针模块的三维声强计，以通过计算向量的最近交点来估计源距离。探头间距，源定位误差和源距离会影响估计误差。发现由于几何奇异性，指示源位置的强度向量在某些方向上发散。使用在平面上配置为等边三角形的三个探针模块进行了数值和实验测试。结果表明，仅排除引起发散的相应矢量，就可以显着减少由于几何奇异性引起的大误差。