Non-adaptive second-order generalized integrator for sinusoidal parameters estimation

In this paper, a simple method for frequency, amplitude and phase estimation of a single sinusoidal signal is proposed. The approach described herein uses an orthogonal signals generator based on a Second-Order Generalized Integrator (SOGI). The frequency, amplitude and phase are estimated on the base of straightforward explicit formulas without any adaption of SOGI parameters. The method is implemented as a dynamic third- or fourth-order system according to specified cost function to be minimized. In case of highly corrupted signal a double-SOGI scheme can be used to further improve the filtering capabilities. The effectiveness of the proposed algorithm is demonstrated through simulated experiments and comparisons with existing methods.

► We estimate all the unknown parameters of a sinusoidal signal. ► The estimation is performed by a non-adaptive second-order generalized integrator. ► The method is implemented as a dynamic third- or fourth-order system. ► In case of highly corrupted signal a different scheme can be used to further improve the filtering capabilities.