Some properties of an empirical mode type signal decomposition algorithm

Author

Hawley, Stephen D. ; Atlas, Les E. ; Chizeck, Howard J.

Author_Institution

Dept. of Electr. Eng. Seattle, Univ. of Washington, Seattle, WA

fYear

2008

fDate

March 31 2008-April 4 2008

Firstpage

3625

Lastpage

3628

Abstract

The empirical mode decomposition (EMD) has seen widespread use for analysis of nonlinear and nonstationary time-series. Despite some practical success, it lacks a firm theoretical foundation. This work addresses this. The original EMD algorithm is slightly modified, in a way that facilitates its analysis. We prove three theorems that give conditions for the convergence and time scale separation of the EMD for stationary, band-limited signals.

Keywords

bandlimited signals; source separation; time series; band-limited signals; empirical mode decomposition; nonlinear analysis; nonstationary time-series; signal decomposition algorithm; time scale separation; Algorithm design and analysis; Convergence; Iterative algorithms; Nonlinear systems; Signal analysis; Signal representations; Signal resolution; Spectral analysis; Time series analysis; Zirconium; Empirical Mode Decomposition; Signal Representation; Time Scale Separation;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing, 2008. ICASSP 2008. IEEE International Conference on

Conference_Location

Las Vegas, NV

ISSN

1520-6149

Print_ISBN

978-1-4244-1483-3

Electronic_ISBN

1520-6149

Type

conf

DOI

10.1109/ICASSP.2008.4518437

Filename

4518437