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Zhurnal Tekhnicheskoi Fiziki, 2017, Volume 87, Issue 6, Pages 822–830
DOI: https://doi.org/10.21883/JTF.2017.06.44502.1721
(Mi jtf6198)
 

This article is cited in 11 scientific papers (total in 11 papers)

Theoretical and Mathematical Physics

Wavelet correlations of nonstationary signals

S. V. Bodjokin, S. V. Zharko, N. V. Larionov, A. N. Litvinov, I. M. Sokolov

Peter the Great St. Petersburg Polytechnic University
Abstract: Two approaches to the analysis of nonstationary random signals are proposed and studied. The first approach is based on the adaptive Morlet wavelet that allows variations in time and frequency resolution of signals using an auxiliary control parameter. The second approach is related to the application of double correlation function that represents correlation of continuous wavelet transforms of two signals calculated in time and frequency domains. The advantages of the proposed correlation function in comparison with alternative correlation functions, in particular, analysis of both time and frequency correlations of nonstationary signals are outlined. Applications of the proposed approaches in the analysis of various transient processes in physics are discussed.
Received: 29.12.2015
Revised: 20.09.2016
English version:
Technical Physics, 2017, Volume 62, Issue 6, Pages 837–845
DOI: https://doi.org/10.1134/S1063784217060068
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Bodjokin, S. V. Zharko, N. V. Larionov, A. N. Litvinov, I. M. Sokolov, “Wavelet correlations of nonstationary signals”, Zhurnal Tekhnicheskoi Fiziki, 87:6 (2017), 822–830; Tech. Phys., 62:6 (2017), 837–845
Citation in format AMSBIB
\Bibitem{BodZhaLar17}
\by S.~V.~Bodjokin, S.~V.~Zharko, N.~V.~Larionov, A.~N.~Litvinov, I.~M.~Sokolov
\paper Wavelet correlations of nonstationary signals
\jour Zhurnal Tekhnicheskoi Fiziki
\yr 2017
\vol 87
\issue 6
\pages 822--830
\mathnet{http://mi.mathnet.ru/jtf6198}
\crossref{https://doi.org/10.21883/JTF.2017.06.44502.1721}
\elib{https://elibrary.ru/item.asp?id=29357053 }
\transl
\jour Tech. Phys.
\yr 2017
\vol 62
\issue 6
\pages 837--845
\crossref{https://doi.org/10.1134/S1063784217060068}
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  • https://www.mathnet.ru/eng/jtf/v87/i6/p822
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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