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Wavelets for the space-time structure analysis of physical fields

 a, b,  c, d, e,  a, b
a Institute of Continuous Media Mechanics, Ural Branch of the Russian Academy of Sciences, ul. akad. Koroleva 1, Perm, 614013, Russian Federation
b Perm National Research Polytechnic University, Komsomol'skii prosp. 29, Perm, 614990, Russian Federation
c Lomonosov Moscow State University, Department of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation
d Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation, Russian Academy of Sciences, Kaluzhskoe shosse 4, Troitsk, Москва, 108840, Russian Federation
e Moscow Center for Fundamental and Applied Mathematics, Moscow, Russian Federation

The 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 the 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 experiment, demonstrate the possibilities and discuss the practical aspects of the application of the wavelet apparatus to interpretation of signals and images of various physical nature.

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
Citation: Frick P G, Sokoloff D D, Stepanov R A "Wavelets for the space-time structure analysis of physical fields" Phys. Usp., accepted

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

Оригинал: Фрик П Г, Соколов Д Д, Степанов Р А «Вейвлет-анализ пространственно-временной структуры физических полей» УФН, принята к публикации; DOI: 10.3367/UFNr.2020.10.038859

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