Wavelet correlations of nonstationary signals
- Авторы: Bozhokin S.1, Zharko S.1, Larionov N.1, Litvinov A.1, Sokolov I.1
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Учреждения:
- St. Petersburg State Polytechnical University
- Выпуск: Том 62, № 6 (2017)
- Страницы: 837-845
- Раздел: Theoretical and Mathematical Physics
- URL: https://journals.rcsi.science/1063-7842/article/view/199489
- DOI: https://doi.org/10.1134/S1063784217060068
- ID: 199489
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Аннотация
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.
Об авторах
S. Bozhokin
St. Petersburg State Polytechnical University
Автор, ответственный за переписку.
Email: bsvjob@mail.ru
Россия, Politekhnicheskaya ul. 29, St. Petersburg, 199034
S. Zharko
St. Petersburg State Polytechnical University
Email: bsvjob@mail.ru
Россия, Politekhnicheskaya ul. 29, St. Petersburg, 199034
N. Larionov
St. Petersburg State Polytechnical University
Email: bsvjob@mail.ru
Россия, Politekhnicheskaya ul. 29, St. Petersburg, 199034
A. Litvinov
St. Petersburg State Polytechnical University
Email: bsvjob@mail.ru
Россия, Politekhnicheskaya ul. 29, St. Petersburg, 199034
I. Sokolov
St. Petersburg State Polytechnical University
Email: bsvjob@mail.ru
Россия, Politekhnicheskaya ul. 29, St. Petersburg, 199034