Open AccessThe multi-harmonic signal frequencies estimation in finite time
Author(s) -
Anastasiia O. Vediakova,
Alexey A. Vedyakov,
Anton A. Pyrkin,
Alexey Bobtsov,
Vladislav S. Gromov
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1864/1/012116
Subject(s) - signal (programming language) , scalar (mathematics) , mathematics , harmonic , finite set , mixing (physics) , gradient descent , estimation theory , algorithm , set (abstract data type) , mathematical optimization , computer science , mathematical analysis , physics , artificial neural network , acoustics , artificial intelligence , geometry , programming language , quantum mechanics
The paper presents a method to estimate the frequencies of a multi-harmonic signal in finite time. We use parameterization based on applying delay operators to a measurable signal. The result is a linear regression model with an unknown vector which depends on the signal parameters. We use Dynamic Regressor Extension and Mixing method to replace the n -th order regression model with scalar regressions. After that, we estimate the parameters separately using the standard gradient descent method. In the last step, we find algebraically the finite-time parameter estimates. The set of numerical simulations demonstrates the efficiency of the proposed approach.