Wavelet correlations of nonstationary signals
- Authors: Bozhokin S.V.1, Zharko S.V.1, Larionov N.V.1, Litvinov A.N.1, Sokolov I.M.1
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Affiliations:
- St. Petersburg State Polytechnical University
- Issue: Vol 62, No 6 (2017)
- Pages: 837-845
- Section: Theoretical and Mathematical Physics
- URL: https://journals.rcsi.science/1063-7842/article/view/199489
- DOI: https://doi.org/10.1134/S1063784217060068
- ID: 199489
Cite item
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.
About the authors
S. V. Bozhokin
St. Petersburg State Polytechnical University
Author for correspondence.
Email: bsvjob@mail.ru
Russian Federation, Politekhnicheskaya ul. 29, St. Petersburg, 199034
S. V. Zharko
St. Petersburg State Polytechnical University
Email: bsvjob@mail.ru
Russian Federation, Politekhnicheskaya ul. 29, St. Petersburg, 199034
N. V. Larionov
St. Petersburg State Polytechnical University
Email: bsvjob@mail.ru
Russian Federation, Politekhnicheskaya ul. 29, St. Petersburg, 199034
A. N. Litvinov
St. Petersburg State Polytechnical University
Email: bsvjob@mail.ru
Russian Federation, Politekhnicheskaya ul. 29, St. Petersburg, 199034
I. M. Sokolov
St. Petersburg State Polytechnical University
Email: bsvjob@mail.ru
Russian Federation, Politekhnicheskaya ul. 29, St. Petersburg, 199034