NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2014, 5 (3), P. 363–373
COMPARISON OF WAVELET TRANSFORM AND FOURIER TRANSFORM APPLIED TO ANALYSIS OF NON-STATIONARY PROCESSES
A. Drozdov – Institute for Analytical Instrumentation Russian Academy of Science, Russia; av@biophys.ru
I. Pomortsev – ITMO University, St. Petersburg, Russia
K. Tyutyukin – St. Petersburg State University, Physical faculty, St. Petersburg, Russia
Y. Baloshin – ITMO University, St. Petersburg, Russia; baloshin1940@mail.ru
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