A method of extraction of nonstationary sinusoids

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.

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