时变幅度含噪正弦信号的参数估计
Parameters estimation of a noisy sinusoidal signal with time-varying amplitude
AI总结：
利用Fliess和Sira-Ramirez引入的代数参数技术以及调制函数法，估计时变幅度含噪正弦信号的频率、幅度和相位，并研究噪声误差的收敛性以证明方法的鲁棒性和稳定性。
摘要：
本文利用Fliess和Sira-Ramirez引入的代数参数技术，给出了时变幅度含噪正弦信号的频率、幅度和相位的估计量。我们采用类似的策略，通过调制函数法估计这些参数。研究了一类广泛噪声引起的噪声误差部分的收敛性，以证明这些方法的鲁棒性和稳定性。我们还表明，通过调制函数法获得的估计量对“大”采样周期和非零均值噪声具有鲁棒性。
英文摘要：
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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