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Nanosystems: Physics, Chemistry, Mathematics, 2014, Volume 5, Issue 3, Pages 363–373 (Mi nano865)  
Comparison of wavelet transform and Fourier transform applied to analysis of non-stationary processes

A. Drozdova, I. Pomortsevb, K. Tyutyukinc, Yu. Baloshinb

a Institute for Analytical Instrumentation Russian Academy of Science, Russia
b ITMO University, St. Petersburg, Russia
c St. Petersburg State University, Physical faculty, St. Petersburg, Russia
Full-text PDF (1533 kB)
URL: https://nanojournal.ifmo.ru/en/articles-2/volume5/5-3/physics/paper04
Abstract: This article contains a comparison of three data analysis methods' informativity: wavelet transform, Fourier transform and short-time Fourier transform. This work contains an attempt to find the most sensitive method for the detection of quasiharmonic components in experimental data that have pronounced non-stationary behavior. Results of high-frequency near-field sounding, IR-spectroscopy and NMR analysis of water, and also model harmonic signal were used as non-stationary processes for analysis.
Keywords: wavelet transform, Fourier transform, short-time Fourier transform, non-stationary processes analysis, quasiharmonic signal.
Received: 12.04.2014
Revised: 26.05.2014
Bibliographic databases:
Document Type: Article
PACS: 02.60.-x, 02.70.-c
Language: English
Citation: A. Drozdov, I. Pomortsev, K. Tyutyukin, Yu. Baloshin, “Comparison of wavelet transform and Fourier transform applied to analysis of non-stationary processes”, Nanosystems: Physics, Chemistry, Mathematics, 5:3 (2014), 363–373
Citation in format AMSBIB
\Bibitem{DroPomTyu14}
\by A.~Drozdov, I.~Pomortsev, K.~Tyutyukin, Yu.~Baloshin
\paper Comparison of wavelet transform and Fourier transform applied to analysis of non-stationary processes
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2014
\vol 5
\issue 3
\pages 363--373
\mathnet{http://mi.mathnet.ru/nano865}
\elib{https://elibrary.ru/item.asp?id=21630411}
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