Wavelets for the space-time structure analysis of physical fields

P.G. Frick^a, b, D.D. Sokoloff^c, d, e, R.A. Stepanov^a, f
^aInstitute of Continuous Media Mechanics, Ural Branch of the Russian Academy of Sciences, ul. akad. Koroleva 1, Perm, 614013, Russian Federation
^bPerm State National Research University, Bukireva st. 15, Perm', 614990, Russian Federation
^cLomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation
^dPushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation, Russian Academy of Sciences, Kaluzhskoe shosse 4, Troitsk, Москва, 108840, Russian Federation
^eMoscow Center for Fundamental and Applied Mathematics, Moscow, Russian Federation
^fPerm National Research Polytechnic University, Komsomol'skii prosp. 29, Perm, 614990, Russian Federation

Spectral analysis, based on the Fourier method, is a general tool in physics. Wavelets appeared as a natural generalization of classical spectral analysis to the case of complex nonstationary and spatially inhomogeneous systems, for which a comparison with an infinite sinusoid, which forms the basis of the Fourier method, has to be replaced by a comparison with a finite wave packet, which is known as a wavelet. In this review, the authors, based largely on their own experience of application wavelet analysis in astro- and geophysics, solar-terrestrial relations, as well as climatology, medical physics, and laboratory hydrodynamic experiments, demonstrate the possibilities and discuss the practical aspects of the application of the wavelet apparatus to the interpretation of signals and images of various physical natures.

Keywords: wavelets, spectral analysis, data processing for signals and images, solar and stellar activity, galactic magnetic fields, geophysics, medical physics
PACS: 47.27.er, 95.75.−z (all)
DOI: 10.3367/UFNe.2020.10.038859
URL: https://ufn.ru/en/articles/2022/1/d/
Web of Science

000788597000004
Scopus

2-s2.0-85128540479
ADS NASA

2022PhyU...65...62F
Citation: Frick P G, Sokoloff D D, Stepanov R A "Wavelets for the space-time structure analysis of physical fields" Phys. Usp. 65 62–89 (2022)

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Received: 8th, August 2020, revised: 20th, October 2020, accepted: 25th, October 2020

Оригинал: Фрик П Г, Соколов Д Д, Степанов Р А «Вейвлет-анализ пространственно-временной структуры физических полей» УФН 192 69–99 (2022); DOI: 10.3367/UFNr.2020.10.038859