A method of extraction of nonstationary sinusoids

Authors:
A. K. Ziarani;A. Konrad
Affiliations:
Department of Electrical and Computer Engineering, Clarkson University, Potsdam, NY;Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada M5S 3G4
Venue:
Signal Processing
Year:
2004

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Abstract

A novel method of extraction of nonstationary sinusoidal signals and estimation of their parameters, namely amplitude, phase and frequency is presented. A set of nonlinear differential equations governs the dynamics of the algorithm. Mathematical proofs of the existence, uniqueness and stability of a periodic orbit of such a dynamical system are given. Performance of the proposed algorithm is demonstrated with the aid of computer simulations and the laboratory verification of its functionality is presented. The proposed algorithm exhibits a high degree of noise immunity and robustness and is shown to have a very simple structure which renders it suitable for both software and hardware implementation.