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

Lookup NU author(s): Dr Aijun Yin, Dr Bin Gao, Dr Wai Lok Woo


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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-noisingmethods to verify the efficacy of the proposed method. Copyright (C) 2015 John Wiley & Sons, Ltd.

Publication metadata

Author(s): Yin AJ, Zhao L, Gao B, Woo WL

Publication type: Article

Publication status: Published

Journal: Mathematical Methods in the Applied Sciences

Year: 2015

Volume: 38

Issue: 18

Pages: 4879-4890

Print publication date: 01/12/2015

Online publication date: 12/03/2015

Acceptance date: 10/12/2014

ISSN (print): 0170-4214

ISSN (electronic): 1099-1476

Publisher: John Wiley & Sons Ltd.


DOI: 10.1002/mma.3406


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Funder referenceFunder name
51105396National Natural Science Foundation of China
cstc2011jjjq70001Chongqing Natural Science Foundation for Distinguished Young Scholars
CDJZR13 11 55 01Fundamental Research Funds for Central Universities