EMD端点双极值延拓方法研究

Double Extremum Extension Algorithm to Dealing with the End Effect of Empirical Mode Decomposition

使用经验模态分解(EMD)进行信号处理过程时,端点效应抑制是关键步骤。这里提出了一种基于包络匹配的双极值点延拓算法,实现了对EMD分解过程中端点效应的抑制处理,并通过了仿真验证。首先,将端点处连续的几个极值点的包络线作为模板子波;再者将模板子波与波形内部的极值包络进行有效匹配;然后将匹配区段前方的两个极值点作为延拓极值进行极值延拓,实现了抑制EMD分解过程中端点效应的目标。并通过仿真数据,验证了算法的有效性。

When using empirical mode decomposition(EMD)for signal processing,endpoint effect suppression is the key step.A double extremum extension algorithm based on envelope matching is proposed to suppress the endpoint effect in EMD decomposi-tion.Firstly,the envelope of several continuous extreme points at the end point is taken as the template wavelet;secondly,the tem-plate wavelet is effectively matched with the extreme envelope inside the waveform;secondly,the two extreme points in front of the matching section are taken as the extension extremum to carry out the extremum extension,so as to achieve the goal of re-straining the end effect in the EMD decomposition process.The effectiveness of the algorithm is verified by simulation data.