An Alternative Formulation for the Empirical Mode Decomposition

Author

Oberlin, Thomas ; Meignen, Sylvain ; Perrier, Valérie

Author_Institution

Dept. of Geometry & Image, Univ. of Grenoble, Grenoble, France

Volume

60

Issue

5

fYear

2012

fDate

5/1/2012 12:00:00 AM

Firstpage

2236

Lastpage

2246

Abstract

The Empirical Mode Decomposition (EMD) is a relatively new adaptive method for multicomponent signal representation which allows for analyzing nonlinear and nonstationary signals. In spite of its lack of mathematical foundations, very few papers are dedicated to defining new decompositions that would preserve the interesting properties of the EMD while improving the mathematical setting. The new decomposition based on direct constrained optimization we introduce in this article is an attempt in that direction.

Keywords

adaptive signal processing; mathematical analysis; optimisation; signal representation; EMD; adaptive method; direct constrained optimization; empirical mode decomposition; mathematical foundation; mathematical setting; multicomponent signal representation; nonlinear signal; nonstationary signal; Context; Educational institutions; Electronic mail; Optimization; Polynomials; Signal resolution; Splines (mathematics); Adaptive signal decomposition; constrained optimization; empirical mode decomposition (EMD);

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2012.2187202

Filename

6146462