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Time-frequency analysis of transient dispersive waves: A comparative study
Authors:A. Apostoloudia  L.J. Hadjileontiadis  A. Trochidis
Affiliation:a Physics Division, Faculty of Engineering, Aristotle University of Thessaloniki, GR-541 24 Thessaloniki, Greece
b Mechanics Division, Faculty of Engineering, Aristotle University of Thessaloniki, GR-541 24 Thessaloniki, Greece
c Division of Telecommunications, Department of Electrical and Computer Engineering, Faculty of Engineering, Aristotle University of Thessaloniki, GR-541 24 Thessaloniki, Greece
Abstract:The goal in this work is to investigate the effectiveness of time-frequency representations for analysing dispersive waves by comparing the performance of three different methods. In particular, the smoothed pseudo-Wigner distribution, the continuous wavelet transform and the Hilbert-Huang transform are compared and evaluated in terms of their ability to analyse dispersive elastic waves. The waves under consideration are transient flexural ones generated by an impact in a beam. In view of the results of the comparative study, the advantages and shortcomings of each method are presented and discussed.
Keywords:Dispersive waves   Flexural waves   Wigner distribution   Wavelets   Hilbert Huang transform
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