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JOURNALS // Izvestiya of Saratov University. Physics // Archive

Izv. Sarat. Univ. Physics, 2007 Volume 7, Issue 1, Pages 3–25 (Mi isuph438)

This article is cited in 3 papers

Physics

Multifractal analysis of signals based on wavelet-transform

A. N. Pavlov, V. S. Anishchenko

Saratov State University

Abstract: 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.

Keywords: multifractal analysis, wavelet-transform.

UDC: 519.6:577.359

Received: 13.01.2007

DOI: 10.18500/1817-3020-2007-7-1-3-25



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