Journal
PHYSICS-USPEKHI
Volume 65, Issue 1, Pages 62-89Publisher
TURPION LTD
DOI: 10.3367/UFNe.2020.10.038859
Keywords
signals and images; solar and stellar activity; galactic mag-netic fields; geophysics; medical physics
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Funding
- Russian Foundation for Basic Research [19-11-50217]
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This review discusses the application of wavelet analysis in various fields, including astro-and geophysics, solar-terrestrial relations, climatology, medical physics, and laboratory hydrodynamic experiments. Wavelet analysis, as a natural extension of spectral analysis, has wide-ranging applications in dealing with complex nonstationary and spatially inhomogeneous systems.
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.
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