Title :

Algebraic parameter estimation of a multi-sinusoidal waveform signal from noisy data

Author(s) :

Ushirobira, Rosane [Auteur]
Institut de Mathématiques de Bourgogne [Dijon] [IMB]
Non-Asymptotic estimation for online systems [NON-A]
Perruquetti, Wilfrid [Auteur]
Centrale Lille
Laboratoire d'Automatique, Génie Informatique et Signal [LAGIS]
Non-Asymptotic estimation for online systems [NON-A]
Mboup, Mamadou [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Centre de Recherche en Sciences et Technologies de l'Information et de la Communication - EA 3804 [CRESTIC]
Fliess, Michel [Auteur]
Laboratoire d'informatique de l'École polytechnique [Palaiseau] [LIX]

Conference title :

European Control Conference

City :

Zurich

Country :

Suisse

Start date of the conference :

2013-07-17

Publication date :

2013-04-29

HAL domain(s) :

Informatique [cs]/Automatique
Informatique [cs]/Traitement du signal et de l'image [eess.SP]
Sciences de l'ingénieur [physics]/Traitement du signal et de l'image [eess.SP]

English abstract : [en]

In this paper, we apply an algebraic method to estimate the amplitudes, phases and frequencies of a biased and noisy sum of complex exponential sinusoidal signals. Let us stress that the obtained estimates are integrals ...
Show more >In this paper, we apply an algebraic method to estimate the amplitudes, phases and frequencies of a biased and noisy sum of complex exponential sinusoidal signals. Let us stress that the obtained estimates are integrals of the noisy measured signal: these integrals act as time-varying filters. Compared to usual approaches, our algebraic method provides a more robust estimation of these parameters within a fraction of the signal's period. We provide some computer simulations to demonstrate the efficiency of our method.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL