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Pavlov A. N., Anishchenko V. S. Multifractal Analysis of Signals Based on Wavelet-Transform. Izvestiya of Saratov University. Physics , 2007, vol. 7, iss. 1, pp. 3-25. DOI: 10.18500/1817-3020-2007-7-1-3-25

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Multifractal Analysis of Signals Based on Wavelet-Transform

Pavlov Alexyi Nikolaevich, Saratov State University
Anishchenko Vadim Semenovich, Saratov State University

Main ideas of multifractal analysis based on the wavelet-transform are presented (the wavelet-transform modulus maxima method). Possibilities and limitations of the given approach at analysis of complex signals are studied. Advantages of multifractal technique over the classical correlation analysis are discussed for the case of nonstationary and short data. Phenomena of the multifractality loss in the dynamics of different systems are considered.

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