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APPLICATION OF THE WAVELET TRANSFORM MODULUS MAXIMA METHOD TO ANALYZE THE MULTIFRACTAL BEHAVIOR OF GEOMAGNETIC VARIATIONS

С. А. Рябова

First published: 2019-06-20https://doi.org/10.5593/sgem2019/2.1/s08.100View metrics

Abstract

The objective of this research is to analyze the multifractal behavior of geomagnetic field corresponding to the well-known 27-day variation (solar rotation period) and its harmonics and the 1-day (solar diurnal) periodicities. We discuss the multifractal behavior of geomagnetic variations recorded at the middle latitude stations, using wavelet transform modulus maxima (WTMM). The WTMM is capable of partitioning the time and scale domain of a signal into fractal dimension regions, and the method is sometimes referred to as a "mathematical microscope" due to its ability to inspect the multi-scale dimensional characteristics of a signal and possibly inform about the sources of these characteristics. WTMM provides an understanding of the multifractal scaling behavior of a signal using the multifractal singularity spectra and the generalized Hurst exponents as diagnostic tools. In this research it is established that the 1-day period exhibits monofractal behavior regardless of the solar activity. Results indicate that except for the 1-day period, the geomagnetic variations at all other periods shows a higher degree of multifractality during solar maximum compared to solar minimum.

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Publication details

Title
APPLICATION OF THE WAVELET TRANSFORM MODULUS MAXIMA METHOD TO ANALYZE THE MULTIFRACTAL BEHAVIOR OF GEOMAGNETIC VARIATIONS
Authors
С. А. Рябова
Proceedings
SGEM International Multidisciplinary Scientific GeoConference EXPO Proceedings; 19th International Multidisciplinary Scientific GeoConference SGEM2019, Informatics, Geoinformatics and Remote Sensing
Publisher
STEF92 Technology
Year
2019
Pages
769-776
SWS Citekey
Riabova20198769776
ISSN
1314-2704
ISBN
978-619-7408-79-9
Language
en
Publication type
Conference Paper
Keywords
wavelet transform modulus maximaINTERMAGNET magnetic observatoriesfractal scaling behaviormultifractal singularity spectrageneralized Hurst exponents
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