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

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

2011-05-16

arxiv.org/abs/1105.3035v1

19th Mediterranean Conference on Control and Automation (2011) (2011)

Mathematics

Numerical Analysis

Scientific paper

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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