Analysis of intrinsic mode functions: A PDE approach
Analyse des modes empiriques : une approche EDP
dc.contributor.author
hal.structure.identifier | DIOP, El Hadji
|
dc.contributor.author
hal.structure.identifier | ALEXANDRE, Radjesvarane
|
dc.contributor.author
hal.structure.identifier | BOUDRAA, Abdel-Ouahab
|
dc.date.accessioned | 2014 |
dc.date.available | 2014 |
dc.date.issued | 2010 |
dc.date.submitted | 2014 |
dc.identifier.issn | 1070-9908 |
dc.identifier.uri | http://hdl.handle.net/10985/8986 |
dc.description.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 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. |
dc.language.iso | en |
dc.publisher | Institute of Electrical and Electronics Engineers |
dc.rights | Post-print |
dc.subject | Empirical mode decomposition |
dc.subject | intrinsic mode function |
dc.subject | Partial differential equations |
dc.subject | Décomposition modale empirique, mode empirique, EDP |
dc.title | Analysis of intrinsic mode functions: A PDE approach |
dc.title | Analyse des modes empiriques : une approche EDP |
dc.identifier.doi | 10.1109/LSP.2009.2038770 |
dc.typdoc | Article dans une revue avec comité de lecture |
dc.localisation | Centre de Paris |
dc.subject.hal | Sciences de l'ingénieur: Traitement du signal et de l'image |
ensam.audience | Internationale |
ensam.page | 398-401 |
ensam.journal | IEEE Signal Processing Letters |
ensam.volume | 17 |
ensam.issue | 4 |
ensam.language | fr |
hal.identifier | hal-01087092 |
hal.version | 1 |
hal.status | accept |