Application of time-frequency spectral analysis methods
DOI:
https://doi.org/10.15276/opu.1.45.2015.23Keywords:
Fourier transform, window transform, wavelet transform, dynamic mode, 2D characteristics of circuitsAbstract
In this article the limited application of the non-stationary signals spectra classical analysis using the Fourier transform is substantiated. It is shown that Fourier transform has benefits at periodic signals analysis and limitations when non-stationary signals processing. Authors compared various time-frequency methods of analysis used at signals and circuits in dynamic state. The examples of Fourier window transform application are considered. The dynamic transmission coefficient method for second order circuits time-frequency parameters calculation is studied. The advantages of wavelet transforms application at non-stationary signals analysis are stated.
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References
Boashash, B. Time frequency signal analysis and processing: A comprehensive reference / B. Boashash. — Amsterdam; Boston: Elsevier, 2003. — 770 p.
Goswami, J.C. Fundamentals of wavelets: theory, algorithms, and applications / J.C. Goswami, A.K. Chan. — 2nd Ed. — Hoboken, N.J.: Wiley, 2011. — 359 p.
Филипский, Ю.К. Анализ динамических характеристик аналоговых и цифровых фильтров произвольных порядков / Ю.К. Филипский, С.В. Семенюк // Праці Одеського політехнічного університету. — 2012. — № 1(38). — С. 163—169.
Павлов, А.Н., Филатова, А.Е., Храмов, А.Е. Частотно-временной анализ нестационарных процессов: концепции вейвлетов и эмпирических мод / А.Н. Павлов, А.Е. Филатова, А.Е. Храмов // Известия высших учебных заведений. Прикладная нелинейная динамика. — 2011. — Т. 19, № 2. — С. 141—157.