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On a space-frequency regularization for source reconstruction

机译:关于源重建的空间频率正则化

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To identify mechanical sources acting on a structure, Tikhonov-like regularizations are generally used. These approaches, referred to as additive regularizations, require the calculation of a regularization parameter from adapted selection procedures such as the L-curve method. However, such selection procedures can be computationally intensive. In this contribution, a space-frequency multiplicative regularization is introduced. The proposed strategy has the merit of avoiding the need for the determination of a regularization parameter beforehand, while taking advantage of one's prior knowledge of the type of the sources as well as the nature of the excitation signal. By construction, the regularized solution is computed in an iterative manner, which allows adapting the importance of the regularization term all along the resolution process. The validity of the proposed approach is illustrated numerically on a simply supported beam.
机译:为了识别作用在结构上的机械源,通常使用Tikhonov样规则化。这些方法称为添加性规范化,需要从适应的选择过程计算正则化参数,例如L-Curve方法。但是,这种选择程序可以是计算密集的。在这一贡献中,介绍了空间频率乘法正则化。拟议的战略具有避免事先确定正则化参数的必要性,同时利用一个人的先验知识,以及激励信号的性质。通过施工,正则化解决方案以迭代方式计算,这允许沿着分辨率的过程调整正则化术语的重要性。所提出的方法的有效性在单个支持的光束上以数字方式示出。

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