High-order partial differential equation de-noising method for vibration signal

A novel approach for 1D vibration signal de-noising filter using partial differential equation (PDE) is presented. In particular, the numerical solution of higher-order PDE is generated, and we show that it enables the amplitude-frequency characteristic in filter to be estimated more accurately, which results in better de-noising performance in comparison with the low-order PDE. The de-noising tests on different degree of artificial noise are conducted. Experimental tests have been rigorously compared with different de-noising methods to verify the efficacy of the proposed high-order PDE filter method. Copyright © 2014 John Wiley & Sons, Ltd.

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