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This article is cited in 2 scientific papers (total in 2 papers)
Optimization, System Analysis, and Operations Research
Identification of a time-varying parameter of a noiseless sinusoidal signal
A. A. Bobtsovab, N. A. Nikolaevb, O. V. Oskinab, S. I. Nizovtsevc a School of Automation, Hangzhou Dianzi University, Hangzhou, China
b ITMO University, St. Petersburg, 197101 Russia
c OOO “ISP ‘Georekonstruktsiya’ ”, St. Petersburg, 190005 Russia
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.
Keywords:
parameter identification, time-varying system, sinusoidal signal.
Citation:
A. A. Bobtsov, N. A. Nikolaev, O. V. Oskina, S. I. Nizovtsev, “Identification of a time-varying parameter of a noiseless sinusoidal signal”, Avtomat. i Telemekh., 2022, no. 7, 137–151; Autom. Remote Control, 83:7 (2022), 1123–1135
Linking options:
https://www.mathnet.ru/eng/at16000 https://www.mathnet.ru/eng/at/y2022/i7/p137
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Abstract page: | 98 | Full-text PDF : | 1 | References: | 21 | First page: | 15 |
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