BOUCHIKHI, Abdelkhalek; BOUDRAA, Abdel-Ouahab

doi:10.1016/j.sigpro.2012.02.014

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BOUCHIKHI, Abdelkhalek
Institut de Recherche de l'Ecole Navale [IRENAV]

BOUDRAA, Abdel-Ouahab
Institut de Recherche de l'Ecole Navale [IRENAV]

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Signal Processing. 2012-09, vol. 92, n° 9, p. 2214-2228

Elsevier

Résumé en anglais

In 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.< Réduire

Mots clés

AM–FM modeling

Empirical Mode Decomposition

Energy Separation Algorithm

Hilbert transform

Teager–Kaiser operator

Décomposition modale empirique

opérateur de Teager-Kaiser

Algorithme de séparation d'énergie

transformée d'Hilbert

Modèle AM-FM

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

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