Title :

Parameters estimation of a noisy sinusoidal signal with time-varying amplitude

Author(s) :

Liu, Da-Yan [Auteur]
Algebra for Digital Identification and Estimation [ALIEN]
Laboratoire d'Automatique, Génie Informatique et Signal [LAGIS]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Gibaru, Olivier [Auteur]
Algebra for Digital Identification and Estimation [ALIEN]
Laboratoire de Métrologie et de Mathématiques Appliquées [L2MA]
Perruquetti, Wilfrid [Auteur]
Algebra for Digital Identification and Estimation [ALIEN]
Systèmes Non Linéaires et à Retards [SyNeR]

Conference title :

19th Mediterranean Conference on Control and Automation (2011)

City :

Corfou

Country :

Grèce

Start date of the conference :

2011-06-20

Publication date :

2011-06

HAL domain(s) :

Mathématiques [math]/Analyse numérique [math.NA]
Sciences de l'ingénieur [physics]/Traitement du signal et de l'image [eess.SP]
Informatique [cs]/Traitement du signal et de l'image [eess.SP]

English abstract : [en]

In this paper, we give estimators of the frequency, amplitude and phase of a noisy sinusoidal signal with time-varying amplitude by using the algebraic parametric techniques introduced by Fliess and Sira-Ramirez. We apply ...
Show more >In this paper, we give estimators of the frequency, amplitude and phase of a noisy sinusoidal signal with time-varying amplitude by using the algebraic parametric techniques introduced by Fliess and Sira-Ramirez. We apply a similar strategy to estimate these parameters by using modulating functions method. The convergence of the noise error part due to a large class of noises is studied to show the robustness and the stability of these methods. We also show that the estimators obtained by modulating functions method are robust to ''large'' sampling period and to non zero-mean noises.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL