Fast partial differential equation de-noising filter for mechanical vibration signal

Yin, Aijun, Zhao, Lei, Gao, Bin and Woo, Wai Lok (2015) Fast partial differential equation de-noising filter for mechanical vibration signal. Mathematical Methods in the Applied Sciences, 38 (18). pp. 4879-4890. ISSN 0170-4214

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Abstract

A novel approach for mechanical vibration signal de-noising filter using PDE and its numerical solution were presented. The proposed method is computationally fast compared with other conventional PDE-based de-noising methods. It enables: (i) by incorporating unconditional stable finite difference backward Euler scheme, the de-noising process has no requirements of grid ratio; (ii) developing variational matrix-based fast filter while the de-noising process can be completed instantly, which will be accomplished by only one iteration; and (iii) effective de-noising method for mechanical vibration signal interfered by Gauss white noise. The method is performed efficiently, and the de-noising tests on different artificial Gauss white noise as well as natural mechanical noise are conducted. Experimental tests have been rigorously compared with different de-noising methods to verify the efficacy of the proposed method.

Item Type:	Article
Uncontrolled Keywords:	second-order parabolic systems; signal detection and filtering; fast algorithm; vibration signal
Subjects:	G400 Computer Science
Department:	Faculties > Engineering and Environment > Computer and Information Sciences
Depositing User:	Paul Burns
Date Deposited:	05 Apr 2019 12:23
Last Modified:	10 Oct 2019 20:34
URI:	http://nrl.northumbria.ac.uk/id/eprint/38800

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