Adaptive filter theory (2nd ed.)
Adaptive filter theory (2nd ed.)
Unbiased estimation of a sinusoid in colored noise via adapted notch filters
Automatica (Journal of IFAC)
Design of an extended Kalman filter frequency tracker
IEEE Transactions on Signal Processing
Asymptotic analysis of a fast algorithm for efficient multiple frequency estimation
IEEE Transactions on Information Theory
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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: Amplitude, frequency and phase. 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.