Non-overshooting and Non-undershooting Cubic Spline Interpolation for Empirical Mode Decomposition

被引：1

作者：

袁晔 ^{[1
]}

梅文博 ^{[1
]}

吴嗣亮 ^{[1
]}

袁起 ^{[2
]}

机构：

[1] School of Information Science and Technology,Beijing Institute of Technology

[2] The Scienceand Technology Committee of China Aerospace Mechanical and Electric Corporation

来源：

JournalofBeijingInstituteofTechnology | 2008年 / 03期

关键词：

overshooting and undershooting; cubic spline interpolation; empirical mode decomposition;

D O I：

10.15918/j.jbit1004-0579.2008.03.015

中图分类号：

TN911.7 [信号处理];

学科分类号：

0711 ; 080401 ; 080402 ;

摘要：

To suppress the overshoots and undershoots in the envelope fitting for empirical mode decomposition (EMD), an alternative cubic spline interpolation method without overshooting and undershooting is proposed. On the basis of the derived slope constraints of knots of a non-overshooting and non-undershooting cubic interpolant, together with "not-a-knot" conditions the cubic spline interpolants are constructed by replacing the requirement for equal second order derivatives at every knot with Brodlie’s derivative formula. Analysis and simulation experiments show that this approach can effectively avoid generating new extrema, shifting or exaggerating the existing ones in a signal, and thus significantly improve the decomposition performance of EMD.

引用

页码：316 / 321

页数：6