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

Da-Yan Liu 1, 2, 3 Olivier Gibaru 1, 4 Wilfrid Perruquetti 1, 5
1 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Ecole Centrale de Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
5 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : 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.
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Submitted on : Monday, May 16, 2011 - 1:42:10 AM
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  • HAL Id : inria-00593408, version 1
  • ARXIV : 1105.3035

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Da-Yan Liu, Olivier Gibaru, Wilfrid Perruquetti. Parameters estimation of a noisy sinusoidal signal with time-varying amplitude. 19th Mediterranean Conference on Control and Automation (2011), Jun 2011, Corfou, Greece. ⟨inria-00593408⟩

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