PDE信号修补方法及在EMD端点效应处理中的应用  

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

作　　者：尹爱军[1] 王璇[1] 

机构地区：[1]重庆大学机械传动国家重点实验室,重庆大学机械学院测试中心,重庆400044

出　　处：《振动与冲击》2012年第2期6-9,61,共5页Journal of Vibration and Shock

基　　金：国家自然科学基金(51105396,50905192);中国博士后科学基金(2011M501387)

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。According to continuity and smooth of vibration signals,a distortion signal can be restored using the existed neighborhood signal.By studying physical property of a heat conductivity equation,a signal restoring method based on a partial differential equation（PDE） was proposed.The basic principles of linear and nonlinear PDE signal restoring methods were analyzed.Because there was an involved end effect in an empirical mode decomposition（EMD）,decomposition results with EMD had a serious distortion.Using the proposed signal restoring method based on PDE,the end-entending technique was realized.Tests showed that the proposed method can effectively restore distortion signals,it also can process longer time signals,and avoid signal distortions after restoring.

关 键 词：偏微分方程 信号修补 经验模态分解 端点效应 

分 类 号：TN911[电子电信—通信与信息系统]