关键词: 偏微分方程, 去噪, 振动信号

Abstract: By studying on partial differential equation(PDE) with its application in picture denoising, a new kind of method based on PDE is proposed for vibration signal denoising, in view of the shortcomings in the traditional filter denoising method. PDE denoising model based on Gauss core function is analyzed in detail, and its discretization processing of the method is also introduced. Experiments in contrast with the traditional denoising method show that the method can effectively eliminate the noise disturbance, keep the edge property and interior continuity, and also avoid signal distortion after denoising. Because of the smooth property of PDE denoising method, its denoising effect is influenced by PDE iterations series and the smooth property factors of vibration signal, so this method has a better effect for low frequency vibration signal denoising.

Key words: Denoising, Partial differential equation, Vibration signal