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hal.structure.identifierInstitut de Recherche de l'Ecole Navale [IRENAV]
dc.contributor.authorDIOP, El Hadji
hal.structure.identifierInstitut de Recherche de l'Ecole Navale [IRENAV]
dc.contributor.authorALEXANDRE, Radjesvarane
hal.structure.identifierInstitut de Recherche de l'Ecole Navale [IRENAV]
dc.contributor.authorBOUDRAA, Abdel-Ouahab
dc.date.accessioned2021-05-14T09:58:42Z
dc.date.available2021-05-14T09:58:42Z
dc.date.issued2010-04
dc.identifier.issn1070-9908
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/77968
dc.descriptionThe 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.description.abstractEnThe 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.isoen
dc.publisherInstitute of Electrical and Electronics Engineers
dc.subjectEDP
dc.subjectmode empirique
dc.subjectDécomposition modale empirique
dc.subjectPartial differential equations
dc.subjectintrinsic mode function
dc.subjectEmpirical mode decomposition
dc.title.enAnalysis of intrinsic mode functions: A PDE approach
dc.typeArticle de revue
dc.identifier.doi10.1109/LSP.2009.2038770
dc.subject.halSciences de l'ingénieur [physics]/Traitement du signal et de l'image
bordeaux.journalIEEE Signal Processing Letters
bordeaux.page398-401
bordeaux.volume17
bordeaux.hal.laboratoriesInstitut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295*
bordeaux.issue4
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.institutionINRAE
bordeaux.institutionArts et Métiers
bordeaux.peerReviewedoui
hal.identifierhal-01087092
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01087092v1
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