PDE信号修补方法及在EMD端点效应处理中的应用

PDF(2250 KB)

振动与冲击 ›› 2012, Vol. 31 ›› Issue (2) : 6-9.

论文

PDE信号修补方法及在EMD端点效应处理中的应用

尹爱军; 王璇

作者信息 +

Signal restored of based on PDE and its application in end effect processing of EMD

YIN Ai-jun ; Wang Xuan

Author information +

文章历史 +

摘要

根据信号的连续性、光滑性等特性，可以利用已有相邻信号实现对缺陷信号的修补。分析了热传导方程的物理特性；提出了基于偏微分方程（PDE）的信号修补方法。分析了线性PDE修补和非线性PDE修补方法的基本原理。经验模态分解（EMD）过程中因存在着端点效应问题，使得EMD分解结果产生失真，从而导致分解无效。利用PDE信号修补的基本原理，实现了基于PDE的端点扩展方法。实验表明，PDE信号修补方法具有较好的修补效果，基于这一方法的端点扩展，可处理较长时间信号，且处理之后的信号畸变少

Abstract

According to continuity and smooth of vibration signal, distortion signal can be restored with the neighboring signal. By studying on physical property of the heat conductivity equation, signal restored method based on the partial differential equation (PDE) is proposed. The basic principles of the linear and nonlinear PDE restored methods are discussed. Because there is an involved end effect with empirical mode decomposition (EMD), the results of EMD decomposition have a serious distortion. Using signal restored method based on PDE, extending end is realized. Experiments show that the method could effectively restore distortion signal, also can process the long time signal, and avoid signal distortions after restored

导出引用

尹爱军; 王璇. PDE信号修补方法及在EMD端点效应处理中的应用[J]. 振动与冲击, 2012, 31(2): 6-9

YIN Ai-jun; Wang Xuan. Signal restored of based on PDE and its application in end effect processing of EMD[J]. Journal of Vibration and Shock, 2012, 31(2): 6-9