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Identification of a Time-Varying Parameter of a Noiseless Sinusoidal Signal

  • OPTIMIZATION, SYSTEM ANALYSIS, OPERATIONS RESEARCH
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Abstract

We consider a new algorithm for estimating the time-varying parameter \( \omega (t) \) of a noiseless sinusoidal signal \( \alpha (t)\sin (\omega (t)+\varphi ) \). It is assumed that the unknown parameters \( \alpha (t) \) and \( \omega (t) \) of the sinusoidal signal are functions of time that are solutions of linear time-invariant differential equations with known coefficients but unknown initial conditions. The problem is solved using gradient tuning algorithms based on a linear regression equation obtained by parametrizing the original parameter-nonlinear sinusoidal signal. An example and results of computer simulation illustrate the efficiency of the proposed algorithm and also explain the procedure for its synthesis.

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Authors and Affiliations

  1. School of Automation, Hangzhou Dianzi University, Hangzhou, China

    A. A. Bobtsov

  2. ITMO University, St. Petersburg, 197101, Russia

    A. A. Bobtsov, N. A. Nikolaev & O. V. Oskina

  3. OOO “ISP ‘Georekonstruktsiya’ ”, St. Petersburg, 190005, Russia

    S. I. Nizovtsev

Authors
  1. A. A. Bobtsov
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  2. N. A. Nikolaev
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  3. O. V. Oskina
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  4. S. I. Nizovtsev
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Corresponding authors

Correspondence to A. A. Bobtsov, N. A. Nikolaev, O. V. Oskina or S. I. Nizovtsev.

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Translated by V. Potapchouck

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Bobtsov, A.A., Nikolaev, N.A., Oskina, O.V. et al. Identification of a Time-Varying Parameter of a Noiseless Sinusoidal Signal. Autom Remote Control 83, 1123–1135 (2022). https://doi.org/10.1134/S0005117922070086

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  • DOI: https://doi.org/10.1134/S0005117922070086

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