An algebraic frequency estimator for a biased and noisy sinusoidal signal
An algebraic frequency estimator for a biased and noisy sinusoidal signal
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DOI：
10.1016/j.sigpro.2006.10.006
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发表时间：
2007-06
期刊：
影响因子：
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通讯作者：
J. R. Trapero;H. Sira-Ramírez;V. F. Batlle
中科院分区：
文献类型：
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作者：
J. R. Trapero;H. Sira-Ramírez;V. F. Batlle
提出了一种在线快速可靠地辨识未知含噪正弦信号幅值、频率和相位参数的代数方法。所提出的方法使用的代数导数方法在频域产生精确的公式，当放置在时域中，为未知参数。这些公式综合的时变线性不稳定滤波器与经典的低通滤波器的巴特沃思型。计算是在一个相当小的时间间隔，这只是一个小部分的第一个完整周期的测量正弦波信号。该方法也被验证是强大的信号测量噪声和结构化的扰动，通过数字计算机模拟，也通过实际的实验室实验。
An algebraic approach is proposed for the fast and reliable, on line, identification of the amplitude, frequency and phase parameters in unknown noisy sinusoidal signals. The proposed method uses the algebraic derivative method in the frequency domain yielding exact formulae, when placed in the time domain, for the unknown parameters. These formulae are synthesized in terms of time-varying linear unstable filters in combination with classical low-pass filters of the Butterworth type. The computations are performed in a quite small time interval which is only a small fraction of the first full cycle of the measured sinusoid signal. The method is also verified to be robust with respect to signal measurement noises and structured perturbations via digital computer simulations and, also, via actual laboratory experiments.