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Leak detection of complex pipelines based on the filter diagonalization method: robust technique for eigenvalue assessment

机译：基于滤波器对角化方法的复杂管道泄漏检测：特征值评估的鲁棒技术

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摘要

The FDM (filter diagonalization method), an interesting technique used in nuclear magnetic resonance data processing for tackling FFT (fast Fourier transform) limitations, can be used by considering pipelines, especially complex configurations, as a vascular apparatus with arteries, veins, capillaries, etc. Thrombosis, which might occur in humans, can be considered as a leakage for the complex pipeline, the human vascular apparatus. The choice of eigenvalues in FDM or in spectra-based techniques is a key issue in recovering the solution of the main equation (for FDM) or frequency domain transformation (for FFT) in order to determine the accuracy in detecting leaks in pipelines. This paper deals with the possibility of improving the leak detection accuracy of the FDM technique thanks to a robust algorithm by assessing the problem of eigenvalues, making it less experimental and more analytical using Tikhonov-based regularization techniques. The paper starts from the results of previous experimental procedures carried out by the authors.
机译：FDM（滤波器对角化方法）是一种用于解决FFT（快速傅立叶变换）局限性的核磁共振数据处理中使用的有趣技术，可以通过考虑管道（尤其是复杂的配置）作为具有动脉，静脉，毛细血管，可能在人体内发生的血栓形成可被认为是复杂管道（人的血管装置）的泄漏。在FDM或基于频谱的技术中，特征值的选择是恢复主方程（对于FDM）或频域变换（对于FFT）的解以确定确定检测管道泄漏的准确性的关键问题。本文通过评估特征值的问题，通过一种鲁棒的算法，解决了提高FDM技术的泄漏检测精度的可能性，使用基于Tikhonov的正则化技术可以减少实验性并提高分析能力。本文从作者先前进行的实验程序的结果开始。

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