DOI 10.17586/0021-3454-2020-63-6-507-514
UDC 681.51
PARAMETERS ESTIMATION OF SINUSOIDAL SIGNAL WITH POWER-LAW FREQUENCY DEPENDENCE
ITMO University, Saint Petersburg, 197101, Russian Federation; engineer
S. V. Aranovskiy
ITMO University, Saint Petersburg, 197101, Russia; Associate professor
A. A. Bobtsov
ITMO University, Saint Petersburg, 197101, Russian Federation; Head of the School of Computer Technologies and Control, Professor at the Faculty of Control Systems and Robotics, Head of the Adaptive and Nonlinear Control Systems Lab
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Abstract. The problem of estimating parameters of sinusoidal signal whose frequency varying as a polynomial function in time is considered. To solve this problem, a parameterization is proposed that allows formation of linear regression equations with respect to unknown parameters. The desired estimates are obtained using the method of dynamic expansion of the regressor, which ensures the monotony of transient processes. Efficiency of the proposed approach is illustrated by presented results of numerical modeling.
Keywords: sinusoidal signal, identification, non-stationary parameters, dynamic regressor extension and mixing, gradient algorithm, regression model
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