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Techniques for estimating the unknown functions of incomplete experimental spectral and correlation response matrices

机译:估计不完整实验光谱和相关响应矩阵的未知函数的技术

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摘要

In this paper, we propose analytical and numerical straightforward approximate methods to estimate the unknown terms of incomplete spectral or correlation matrices, when the cross-spectra or cross-correlations available from multiple measurements do not cover all pairs of transducer locations. The proposed techniques may be applied whenever the available data includes the auto-spectra at all measurement locations, as well as selected cross-spectra which implicates all measurement locations. The suggested methods can also be used for checking the consistency between the spectral or correlation functions pertaining to measurement matrices, in cases of suspicious data. After presenting the proposed spectral estimation formulations, we discuss their merits and limitations. Then we illustrate their use on a realistic simulation of a multi-supported tube subjected to turbulence excitation from cross-flow. Finally, we show the effectiveness of the proposed techniques by extracting the modal responses of the simulated flow-excited tube, using the SOBI (Second Order Blind Identification) method, from an incomplete response matrix.
机译:在本文中,当可从多个测量获得的互谱或互相关关系无法覆盖所有成对的换能器时,我们提出了分析和数值直接近似方法来估计不完整频谱或相关矩阵的未知项。每当可用数据包括所有测量位置处的自动光谱以及暗示所有测量位置的选定交叉光谱时,都可以应用所提出的技术。在可疑数据的情​​况下,建议的方法还可以用于检查与测量矩阵有关的光谱或相关函数之间的一致性。介绍了提出的频谱估计公式后,我们讨论了它们的优缺点。然后,我们说明了它们在遭受横流湍流激励的多支管的真实模拟中的应用。最后,我们通过使用SOBI(二阶盲识别)方法从不完整的响应矩阵中提取模拟的流激励管的模态响应,来展示所提出技术的有效性。

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