The multi-harmonic signal frequencies estimation in finite time

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The multi-harmonic signal frequencies estimation in finite time. / Vediakova, A. O.; Vedyakov, A. A.; Pyrkin, A. A.; Bobtsov, A. A.; Gromov, V. S.

In: Journal of Physics: Conference Series, Vol. 1864, No. 1, 012116, 20.05.2021.

Research output: Contribution to journal › Conference article › peer-review

Author

Vediakova, A. O. ; Vedyakov, A. A. ; Pyrkin, A. A. ; Bobtsov, A. A. ; Gromov, V. S. / The multi-harmonic signal frequencies estimation in finite time. In: Journal of Physics: Conference Series. 2021 ; Vol. 1864, No. 1.

BibTeX

@article{8b258e544b4f476fb3cbd5374181df3e,

title = "The multi-harmonic signal frequencies estimation in finite time",

abstract = "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.",

author = "Vediakova, {A. O.} and Vedyakov, {A. A.} and Pyrkin, {A. A.} and Bobtsov, {A. A.} and Gromov, {V. S.}",

note = "Publisher Copyright: {\textcopyright} Published under licence by IOP Publishing Ltd.; 13th Multiconference on Control Problems, MCCP 2020 ; Conference date: 06-10-2020 Through 08-10-2020",

year = "2021",

month = may,

day = "20",

doi = "10.1088/1742-6596/1864/1/012116",

language = "English",

volume = "1864",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

url = "http://www.elektropribor.spb.ru/nauchnaya-deyatelnost/xiii-mkpu/index3.php",

}

RIS

TY - JOUR

T1 - The multi-harmonic signal frequencies estimation in finite time

AU - Vediakova, A. O.

AU - Vedyakov, A. A.

AU - Pyrkin, A. A.

AU - Bobtsov, A. A.

AU - Gromov, V. S.

N1 - Conference code: 13

PY - 2021/5/20

Y1 - 2021/5/20

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85107441660&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1864/1/012116

DO - 10.1088/1742-6596/1864/1/012116

M3 - Conference article

AN - SCOPUS:85107441660

VL - 1864

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012116

T2 - 13th Multiconference on Control Problems, MCCP 2020

Y2 - 6 October 2020 through 8 October 2020

ER -

ID: 88150644