A comparison of equivalent source method and monopole time reversal method for noise source localization
A comparison of equivalent source method and monopole time reversal method for noise source localization
复制标题
等效源法与单极子时间反演法噪声源定位的比较
DOI：
10.1115/1.4040047
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发表时间：
2018-12
影响因子：
1.7
通讯作者：
Yong-Bin Zhang
中科院分区：
文献类型：
--
作者：
Chuan-Xing Bi;Yong-Chang Li;Rong Zhou;Yong-Bin Zhang
等效源法（ESM）和时间反转法（MTRM）是目前比较流行的两种噪声源定位方法。这两种方法有一些相似的特点，如使用麦克风阵列测量的压力场作为输入，并使用类似的传播矩阵从绿色的功能。然而，这两种方法得到的结果的空间分辨率是不同的。本文的目的是从理论上分析导致这种差异的原因，并使用数值模拟和实验结果比较这两种方法的性能。利用奇异值分解（SVD）技术，发现两种方法的区别仅在于奇异值对角矩阵的不同，只需将MTRM中的对角矩阵用其逆矩阵代替，两种方法就等价了。结果比较表明，由于逆过程中倏逝波的显着放大，ESM可以计算出真实的源强度，并获得较高的空间分辨率。然而，当信噪比（SNR）较低或测量距离较大时，它不起作用。在这些情况下，ESM的性能可以显着提高通过引入正则化过程。虽然MTRM无法计算真实的源强度和定位源在低频由于倏逝波的信息的损失，它可以很好地工作在高频，即使在低信噪比和大的测量距离。
The equivalent source method (ESM) and monopole time reversal method (MTRM) are two popular techniques for noise source localization. These two methods have some similar characteristics, such as using the pressure field measured by a microphone array as the input and using similar propagation matrices obtained from the Green's function. However, the spatial resolutions of results obtained by these two methods are different. The aim of this paper is to reveal the reason resulting in this difference from a theoretical analysis and compare the performance of these two methods using results from numerical simulations and experiments. Using the singular value decomposition (SVD) technique, the difference between the two methods is found to be only the diagonal matrices of singular values, and the two methods are equivalent after simply replacing the diagonal matrix in the MTRM with its inverse. Comparison of the results demonstrates that the ESM can calculate the real source strength and obtain a high spatial resolution due to the significant amplification of evanescent waves in the inverse process. However, it does not work when the signal-to-noise ratio (SNR) is low or the measurement distance is large. The performance of ESM under these situations can be significantly improved by introducing a regularization procedure. While the MTRM fails to calculate the real source strength and locate the source at low frequencies due to the loss of information of evanescent waves, it works well at high frequencies even with a low SNR and a large measurement distance.
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影响因子：
2.4
作者：
Valdivia, Nicolas P.;Williams, Earl G.
通讯作者：
Williams, Earl G.
DOI：
10.1121/1.1404381
发表时间：
2001-10
期刊：
The Journal of the Acoustical Society of America
影响因子：
--
作者：
E. Williams
通讯作者：
E. Williams
影响因子：
56.9
作者：
Lerosey, Geoffroy;De Rosny, Julien;Fink, Mathias
通讯作者：
Fink, Mathias
影响因子：
2.9
作者：
de Rosny, Julien;Fink, Mathias
通讯作者：
Fink, Mathias
影响因子：
1.5
作者：
Klemm, M.;Craddock, I. J.;Benjamin, R.
通讯作者：
Benjamin, R.