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Multicomponent AM-FM signals analysis based on EMD-B-splines ESA

hal.structure.identifierInstitut de Recherche de l'Ecole Navale [IRENAV]
dc.contributor.authorBOUCHIKHI, Abdelkhalek
hal.structure.identifierInstitut de Recherche de l'Ecole Navale [IRENAV]
dc.contributor.authorBOUDRAA, Abdel-Ouahab
dc.date.accessioned2021-05-14T09:58:16Z
dc.date.available2021-05-14T09:58:16Z
dc.date.issued2012-09
dc.identifier.issn0165-1684
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/77944
dc.descriptionIn this paper a signal analysis framework for estimating time-varying amplitude and frequency functions of multicomponent amplitude and frequency modulated (AM–FM) signals is introduced. This framework is based on local and non-linear approaches, namely Energy Separation Algorithm (ESA) and Empirical Mode Decomposition (EMD). Conjunction of Discrete ESA (DESA) and EMD is called EMD–DESA. A new modified version of EMD where smoothing instead of an interpolation to construct the upper and lower envelopes of the signal is introduced. Since extracted IMFs are represented in terms of B-spline (BS) expansions, a closed formula of ESA robust against noise is used. Instantaneous Frequency (IF) and Instantaneous Amplitude (IA) estimates of a multi- component AM–FM signal, corrupted with additive white Gaussian noise of varying SNRs, are analyzed and results compared to ESA, DESA and Hilbert transform-based algorithms. SNR and MSE are used as figures of merit. Regularized BS version of EMD– ESA performs reasonably better in separating IA and IF components compared to the other methods from low to high SNR. Overall, obtained results illustrate the effective- ness of the proposed approach in terms of accuracy and robustness against noise to track IF and IA features of a multicomponent AM–FM signal.
dc.description.abstractEnIn this paper a signal analysis framework for estimating time-varying amplitude and frequency functions of multicomponent amplitude and frequency modulated (AM–FM) signals is introduced. This framework is based on local and non-linear approaches, namely Energy Separation Algorithm (ESA) and Empirical Mode Decomposition (EMD). Conjunction of Discrete ESA (DESA) and EMD is called EMD–DESA. A new modified version of EMD where smoothing instead of an interpolation to construct the upper and lower envelopes of the signal is introduced. Since extracted IMFs are represented in terms of B-spline (BS) expansions, a closed formula of ESA robust against noise is used. Instantaneous Frequency (IF) and Instantaneous Amplitude (IA) estimates of a multi- component AM–FM signal, corrupted with additive white Gaussian noise of varying SNRs, are analyzed and results compared to ESA, DESA and Hilbert transform-based algorithms. SNR and MSE are used as figures of merit. Regularized BS version of EMD– ESA performs reasonably better in separating IA and IF components compared to the other methods from low to high SNR. Overall, obtained results illustrate the effective- ness of the proposed approach in terms of accuracy and robustness against noise to track IF and IA features of a multicomponent AM–FM signal.
dc.language.isoen
dc.publisherElsevier
dc.subjectAM–FM modeling
dc.subjectEmpirical Mode Decomposition
dc.subjectEnergy Separation Algorithm
dc.subjectHilbert transform
dc.subjectTeager–Kaiser operator
dc.subjectDécomposition modale empirique
dc.subjectopérateur de Teager-Kaiser
dc.subjectAlgorithme de séparation d'énergie
dc.subjecttransformée d'Hilbert
dc.subjectModèle AM-FM
dc.title.enMulticomponent AM-FM signals analysis based on EMD-B-splines ESA
dc.typeArticle de revue
dc.identifier.doi10.1016/j.sigpro.2012.02.014
dc.subject.halSciences de l'ingénieur [physics]/Traitement du signal et de l'image
bordeaux.journalSignal Processing
bordeaux.page2214-2228
bordeaux.volume92
bordeaux.hal.laboratoriesInstitut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295*
bordeaux.issue9
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.institutionINRAE
bordeaux.institutionArts et Métiers
bordeaux.peerReviewedoui
hal.identifierhal-01090557
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01090557v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Signal%20Processing&rft.date=2012-09&rft.volume=92&rft.issue=9&rft.spage=2214-2228&rft.epage=2214-2228&rft.eissn=0165-1684&rft.issn=0165-1684&rft.au=BOUCHIKHI,%20Abdelkhalek&BOUDRAA,%20Abdel-Ouahab&rft.genre=article


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