A B-spline approach for empirical mode decompositions

被引：60

作者：

Qiuhui Chen

Norden Huang

Sherman Riemenschneider

Yuesheng Xu

机构：

[1] Hubei University,Faculty of Mathematics and Computer Science

[2] NASA Goddard Space Flight Center,Laboratory for Hydrospheric Process/Oceans and Ice Branch

[3] West Virginia University,Department of Mathematics

[4] Deparment of Mathematics,undefined

[5] Syracuse University,undefined

[6] Syracuse,undefined

[7] NY 13244,undefined

[8] U.S.A. and Institute of Mathematics,undefined

[9] Academy of Mathematics and System Sciences,undefined

[10] Chinese Academy of Sciences,undefined

来源：

Advances in Computational Mathematics | 2006年 / 24卷

关键词：

B-splines; nonlinear and nonstationary signals; empirical mode decompositions; Hilbert transforms;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We propose an alternative B-spline approach for empirical mode decompositions for nonlinear and nonstationary signals. Motivated by this new approach, we derive recursive formulas of the Hilbert transform of B-splines and discuss Euler splines as spline intrinsic mode functions in the decomposition. We also develop the Bedrosian identity for signals having vanishing moments. We present numerical implementations of the B-spline algorithm for an earthquake signal and compare the numerical performance of this approach with that given by the standard empirical mode decomposition. Finally, we discuss several open mathematical problems related to the empirical mode decomposition.

引用

页码：171 / 195

页数：24

共 22 条

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