Analysis of intrinsic mode functions: A PDE approach
Language
en
Article de revue
This item was published in
IEEE Signal Processing Letters. 2010-04, vol. 17, n° 4, p. 398-401
Institute of Electrical and Electronics Engineers
English Abstract
The empirical mode decomposition is a powerful tool for signal processing. Because of its original algorithmic, recent works have contributed to its theoretical framework. Following these works, some mathematical contributions ...Read more >
The empirical mode decomposition is a powerful tool for signal processing. Because of its original algorithmic, recent works have contributed to its theoretical framework. Following these works, some mathematical contributions on its comprehension and formalism are provided. In this paper, the so called local mean is computed in such a way that it allows the use of differential calculus on envelopes. This new formulation makes us prove that iterations of the sifting process are well approximated by the resolution of partial differential equations (PDE). Intrinsic mode functions are originally defined in a intuitive way. Herein, a mathematical characterization of modes is given with the proposed PDE based approach.Read less <
Keywords
EDP
mode empirique
Décomposition modale empirique
Partial differential equations
intrinsic mode function
Empirical mode decomposition
Origin
Hal imported