Joint time-frequency and wavelet analysis - an introduction

• Autorzy: Majkowski A. , Kołodziej M. , Rak R. J.

Identyfikatory

DOI

10.2478/mms-2014-0054

• Języki publikacji: EN

Abstrakty

EN

A traditional frequency analysis is not appropriate for observation of properties of non-stationary signals. This stems from the fact that the time resolution is not defined in the Fourier spectrum. Thus, there is a need for methods implementing joint time-frequency analysis (t/f) algorithms. Practical aspects of some representative methods of time-frequency analysis, including Short Time Fourier Transform, Gabor Transform, Wigner-Ville Transform and Cone-Shaped Transform are described in this paper. Unfortunately, there is no correlation between the width of the time-frequency window and its frequency content in the t/f analysis. This property is not valid in the case of a wavelet transform. A wavelet is a wave-like oscillation, which forms its own “wavelet window”. Compression of the wavelet narrows the window, and vice versa. Individual wavelet functions are well localized in time and simultaneously in scale (the equivalent of frequency). The wavelet analysis owes its effectiveness to the pyramid algorithm described by Mallat, which enables fast decomposition of a signal into wavelet components.

Słowa kluczowe

EN

frequency analysis; time-frequency analysis; short-time Fourier transform; Gabor transform; Wigner-Ville transform; Cone-Shaped Transform; wavelet analysis; time-scale analysis; wavelet decomposition; filter banks; wavelet packets

• Wydawca: Komitet Metrologii i Aparatury Naukowej PAN
• Czasopismo: Metrology and Measurement Systems
• Rocznik: 2014
• Tom: Vol. 21, nr 4
• Strony: 741--758
• Opis fizyczny: Bibliogr. 28 poz., rys., wykr., wzory

Twórcy

autor

Majkowski A.

• Warsaw University of Technology, Institute of the Theory of Electrical Engineering, Measurement and Information Systems, Koszykowa 75, 00-662 Warsaw, Poland

autor

Kołodziej M.

• Warsaw University of Technology, Institute of the Theory of Electrical Engineering, Measurement and Information Systems, Koszykowa 75, 00-662 Warsaw, Poland

autor

Rak R. J.

• Warsaw University of Technology, Institute of the Theory of Electrical Engineering, Measurement and Information Systems, Koszykowa 75, 00-662 Warsaw, Poland

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