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Title: Analysis of frequency shifting in seismic signals using Gabor-Wigner transform
Authors: Kumar R.
Sumathi, Parasuraman
Kumar A.
Published in: Earthquake Engineering and Engineering Vibration
Abstract: A hybrid time-frequency method known as Gabor-Wigner transform (GWT) is introduced in this paper for examining the time-frequency patterns of earthquake damaged buildings. GWT is developed by combining the Gabor transform (GT) and Wigner-Ville distribution (WVD). GT and WVD have been used separately on synthetic and recorded earthquake data to identify frequency shifting due to earthquake damages, but GT is prone to windowing effect and WVD involves ambiguity function. Hence to obtain better clarity and to remove the cross terms (frequency interference), GT and WVD are judiciously combined and the resultant GWT used to identify frequency shifting. Synthetic seismic response of an instrumented building and real-time earthquake data recorded on the building were investigated using GWT. It is found that GWT offers good accuracy for even slow variations in frequency, good time-frequency resolution, and localized response. Presented results confirm the efficacy of GWT when compared with GT and WVD used separately. Simulation results were quantified by the Renyi entropy measures and GWT shown to be an adequate technique in identifying localized response for structural damage detection. © 2015, Institute of Engineering Mechanics, China Earthquake Administration and Springer-Verlag Berlin Heidelberg.
Citation: Earthquake Engineering and Engineering Vibration (2015), 14(4): 715-724
Issue Date: 2015
Publisher: Institute of Engineering Mechanics (IEM)
Keywords: cross-term interference
Gabor transform
Gabor-Wigner transform
seismic signals
time-frequency distribution
Wigner- Ville distribution
ISSN: 16713664
Author Scopus IDs: 55470016500
Author Affiliations: Kumar, R., Deaprtment of Earthquake Engineering, IIT Roorkee, Roorkee, India
Sumathi, P., Deaprtment of Electrical Engineering, IIT Roorkee, Roorkee, India
Kumar, A., Deaprtment of Earthquake Engineering, IIT Roorkee, Roorkee, India
Corresponding Author: Kumar, R.; Deaprtment of Earthquake Engineering, IIT RoorkeeIndia; email:
Appears in Collections:Journal Publications [EE]

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