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

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-Ramírez. We apply a similar strategy to estimate these parameters by using modulating functions...

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Bibliographic Details
Published in2011 19th Mediterranean Conference on Control and Automation pp. 570 - 575
Main Authors Liu, Da-yan, Gibaru, Olivier, Perruquetti, Wilfrid
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2011
Subjects
Estimation
Frequency estimation
Frequency modulation
Laplace equations
Linear systems
Noise
Noise measurement
Robustness
Stability analysis
Time-frequency analysis
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ISBN9781457701245
1457701243
DOI10.1109/MED.2011.5983186

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Summary: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-Ramírez. 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.
ISBN:9781457701245
1457701243
DOI:10.1109/MED.2011.5983186