Russian Journal of Earth Sciences Russian Journal of Earth Sciences Russian Journal of Earth Sciences 1681-1208 46031 10.2205/2025ES000979 zwldsr Спецвыпуск: "Наука о данных, геоинформатика и системный анализ в изучении Земли" Special Issue: “Data Science, Geoinformatics and Systems Analysis in Geosciences” Спецвыпуск: "Наука о данных, геоинформатика и системный анализ в изучении Земли" Estimation of Parameters of Non-stationary Geophysical Signals Based on Two-Stage Approximations Using Local Models Estimation of Parameters of Non-stationary Geophysical Signals Based on Two-Stage Approximations Using Local Models Гетманов Виктор Григорьевич Getmanov Viktor Grigorievich https://orcid.org/0000-0002-4874-7475 Гвишиани Алексей Джерменович Gvishiani Alexei D. rjes@wdcb.ru

доктор физико-математических наук;

doctor of physical and mathematical sciences;

 https://orcid.org/0000-0003-3056-7465 Пилипенко Вячеслав Анатольевич Pilipenko Vyacheslav Anatolievich pilipenko_va@mail.ru

доктор физико-математических наук;

doctor of physical and mathematical sciences;

 Стуков Данила Алексеевич Stukov Danila Alekseevich sda@ifz.ru Геофизический центр Российской Академии Наук RU Geophysical Center of the Russian Academy of Sciences RU Геофизический центр Российской Академии Наук Москва Россия Geophysical Center of the Russian Academy of Sciences Moscow Russian Federation Институт физики Земли им. О.Ю. Шмидта Российской академии наук Москва Россия Schmidt Institute of the Physics of the Earth Russian Academy of Sciencies Moscow Russian Federation Институт физики Земли им. О.Ю. Шмидта Российской академии наук Moscow Россия Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences Moscow Russian Federation Институт физики Земли им. О.Ю. Шмидта РАН Москва Россия Schmidt Institute of Physics of the Earth RAS Moscow Russian Federation Институт солнечно-земной физики СО РАН Иркутск Россия Institute of Solar-Terrestrial Physics SB RAS Irkutsk Russian Federation 23 05 2025 23 05 2025 25 2 2 6 15 11 2024 15 04 2025 https://ras.editorum.ru/en/nauka/article/46031/view

The authors have developed a technology for estimating the parameters of non-stationary geophysical signals, using a two-stage approximation with local approximation models at the first stage and weighted averaging at the second stage. This article considered an example of estimating the amplitude, frequency and trend parametric functions for geomagnetic pulsations Pc1.

The authors have developed a technology for estimating the parameters of non-stationary geophysical signals, using a two-stage approximation with local approximation models at the first stage and weighted averaging at the second stage. This article considered an example of estimating the amplitude, frequency and trend parametric functions for geomagnetic pulsations Pc1.

 geophysical signals geomagnetic pulsations estimation non-stationary parameters two-stage approximation geophysical signals geomagnetic pulsations estimation non-stationary parameters two-stage approximation The work was carried out within the framework of the state assignment for the GC RAS and the IPE RAS, approved by the Ministry of Science and Higher Education of the Russian Federation. The work was carried out within the framework of the state assignment for the GC RAS and the IPE RAS, approved by the Ministry of Science and Higher Education of the Russian Federation.

Getmanov V. G., Sidorov R. V., Dabagyan R. A. A Method of Filtering Signals Using Local Models and Weighted Averaging Functions // Measurement Techniques. — 2015. — Vol. 58, no. 9. — P. 1029–1036. — DOI: 10.1007/s11018-015-0837-5. Getmanov V. G., Sidorov R. V., Dabagyan R. A. A Method of Filtering Signals Using Local Models and Weighted Averaging Functions // Measurement Techniques. — 2015. — Vol. 58, no. 9. — P. 1029–1036. — DOI: 10.1007/s11018-015-0837-5. Getmanov V. G., Dabagyan R. A., Sidorov R. V. Studying geomagnetic pulsation characteristics with the local approximation method // Geomagnetism and Aeronomy. — 2016. — Vol. 56, no. 2. — P. 195–202. — DOI: 10. 1134/S0016793216020055. Getmanov V. G., Dabagyan R. A., Sidorov R. V. Studying geomagnetic pulsation characteristics with the local approximation method // Geomagnetism and Aeronomy. — 2016. — Vol. 56, no. 2. — P. 195–202. — DOI: 10. 1134/S0016793216020055. Getmanov V. G., Dovbnya B. V., Kornilov A. S. Estimating the Frequency and Amplitude Parameters of the Serpentine Emission Type of Geomagnetic Pulsations // Geomagnetism and Aeronomy. — 2018. — Vol. 58, no. 4. — P. 523–532. — DOI: 10.1134/s0016793218040060. Getmanov V. G., Dovbnya B. V., Kornilov A. S. Estimating the Frequency and Amplitude Parameters of the Serpentine Emission Type of Geomagnetic Pulsations // Geomagnetism and Aeronomy. — 2018. — Vol. 58, no. 4. — P. 523–532. — DOI: 10.1134/s0016793218040060. Getmanov V. G. Digital Signal Processing With Applications for Geophysics and Experimental Mechanics. — Moscow : Texnosfera, 2021. — 354 p. — (In Russian). Getmanov V. G. Digital Signal Processing With Applications for Geophysics and Experimental Mechanics. — Moscow : Texnosfera, 2021. — 354 p. — (In Russian). Guglielmi A. V., Troiczkaya V. A. Geomagnetic Pulsations and Diagnosis of the Magnetosphere. — Moscow : Nauka, 1973. — 208 p. — (In Russian). Guglielmi A. V., Troiczkaya V. A. Geomagnetic Pulsations and Diagnosis of the Magnetosphere. — Moscow : Nauka, 1973. — 208 p. — (In Russian). Guglielmi A. V., Potapov A. S., Dovbnya B. V. On the origin of frequency modulation of serpentine emission // Solnechno-Zemnaya Fizika. — 2015. — Vol. 1, no. 2. — P. 85–90. — DOI: 10.12737/9617. — (In Russian). Guglielmi A. V., Potapov A. S., Dovbnya B. V. On the origin of frequency modulation of serpentine emission // Solnechno-Zemnaya Fizika. — 2015. — Vol. 1, no. 2. — P. 85–90. — DOI: 10.12737/9617. — (In Russian). Katkovnik V., Egiazarian K., Astola J. Local Approximation Techniques in Signal and Image Processing. — SPIE, 2006. — 576 p. — DOI: 10.1117/3.660178. Katkovnik V., Egiazarian K., Astola J. Local Approximation Techniques in Signal and Image Processing. — SPIE, 2006. — 576 p. — DOI: 10.1117/3.660178. Klejmyonova N. G. Geomagnetic Pulsations // Models of the Space / ed. by M. I. Panasyuk. — Moscow : MGU, 2007. — P. 511–627. — (In Russian). Klejmyonova N. G. Geomagnetic Pulsations // Models of the Space / ed. by M. I. Panasyuk. — Moscow : MGU, 2007. — P. 511–627. — (In Russian). Le’j E. Digital Signal Processing for Engineers and Technical Specialists. — Moscow : Gruppa IDT, 2007. — 336 p. — (In Russian). Le’j E. Digital Signal Processing for Engineers and Technical Specialists. — Moscow : Gruppa IDT, 2007. — 336 p. — (In Russian). Mixajlov G. A., Vojtishek A. V. Numerical Statistical Modeling. Monte Carlo Method. — 2018. — (In Russian). Mixajlov G. A., Vojtishek A. V. Numerical Statistical Modeling. Monte Carlo Method. — 2018. — (In Russian). Potapov A. S., Polyushkina T. N., Tsegmed B. Morphology and diagnostic potential of the ionospheric Alfvén resonator // Solar-Terrestrial Physics. — 2021. — Vol. 7, no. 3. — P. 36–52. — DOI: 10.12737/stp-73202104. Potapov A. S., Polyushkina T. N., Tsegmed B. Morphology and diagnostic potential of the ionospheric Alfvén resonator // Solar-Terrestrial Physics. — 2021. — Vol. 7, no. 3. — P. 36–52. — DOI: 10.12737/stp-73202104. Time-Frequency Analysis: Concepts and Methods / ed. by F. Hlawatsch, F. Auger. — Wiley, 2008. — 434 p. — DOI: 10.1002/9780470611203. Time-Frequency Analysis: Concepts and Methods / ed. by F. Hlawatsch, F. Auger. — Wiley, 2008. — 434 p. — DOI: 10.1002/9780470611203.