Conference Proceedings

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Complex adaptive notch filters for frequency estimation of three-phase power systems
(Institute of Electictrical and Electronics Engineers, 2013) Nishimura, Shotaro; Mvuma, Aloys; Hinamoto, Takao
This paper presents a new technique for adaptive estimation of the frequency of unbalanced three-phase power systems using complex coefficient first-order notch filters. The input complex sinusoid is given by a sum of sequences with positive and negative frequencies. The analytical expression of a estimation error oscillation introduced by the sequence with negative frequency has been derived. Closed form expression for frequency tracking error has been also derived for a complex linear chirp signal. Computer simulation results are presented to validate the analysis.
Tracking properties of complex adaptive notch filter for detection of multiple real sinusoids
(Institute of Electictrical and Electronics Engineers, 2013) Nishimura, Shotaro; Mvuma, Aloys; Hinamoto, Takao
This paper presents a new realization of adaptive notch filter based on a cascade of adaptive IIR notch filters using complex coefficient first-order notch filters. The input is multiple real linear chirp signals embedded in a white Gaussian noise. Closed-form expression for frequency tracking mean square error (MSE) is given. Optimum step size parameter and notch bandwidth coefficient that minimize the tracking MSE are also derived. Computer simulation results are presented to validate the analysis.