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JOURNALS // Nanosystems: Physics, Chemistry, Mathematics // Archive

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

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.

PACS: 02.60.-x, 02.70.-c

Received: 12.04.2014
Revised: 26.05.2014

Language: English



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