经验模态分解中的包络线拟合算法仿真分析  

Simulation Analysis of Envelopes Fitting Algorithms in EMD

作　　者：张之猛 刘晨晨[2] 刘伯胜 田宝晶 

机构地区：[1]哈尔滨工程大学水声技术国防科技重点实验室,哈尔滨150001 [2]石家庄铁道学院计算机与信息工程分院,石家庄050043

出　　处：《系统仿真学报》2009年第23期7690-7693,共4页Journal of System Simulation

摘　　要：针对经验模态分解过程中存在的包络线过冲/欠冲及端点飞翼等问题,通过分析三次样条及Hermite多项式插值的特点,在分析一个非平稳时间序列的经验模态分解的过程中,提出使用分段三次Hermite多项式插值,并结合ARMA过程与周期延拓外推信号"特征波"进行端点延拓来改善包络拟合结果。最后,在一个简单的算例中,以距离测度作为2邻近单频信号分离的一种新判据,仿真验证了包络线拟合算法的有效性。The end swings and overshoots/undershoots exist during empirical mode decomposition.Analyzing the feature of the cubic spline interpolation and cubic hermite polynomial interpolation,a new method was proposed which made use of cubic hermite polynomial interpolation for envelopes fitting,and the ARMA process combined with period extraction for ending extension to improve the fitting result.A non-stationary time series was used to test the methods＇ efficiency.Finally,the distance measurement was proposed as a new criterion to separate two adjacent tone signal in a simple numerical experiment.Simulation shows that the proposed method has a good result.

关 键 词：经验模态分解 本征模态函数 包络线拟合 插值函数 

分 类 号：TN911.7[电子电信—通信与信息系统]