Analysis of frequency shifting in seismic signals using Gabor-Wigner transform

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• 作者：Roshan Kumar ; P. Sumathi ; Ashok Kumar
• 关键词：time ; frequency distribution ; seismic signals ; cross ; term interference ; Gabor transform ; Wigner ; Ville distribution ; Gabor ; Wigner transform
• 刊名：Earthquake Engineering and Engineering Vibration
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：14
• 期：4
• 页码：715-724
• 全文大小：702 KB
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• 作者单位：Roshan Kumar (1)
  P. Sumathi (2)
  Ashok Kumar (1)
  
  1. Deaprtment of Earthquake Engineering, IIT Roorkee, Roorkee, India
  2. Deaprtment of Electrical Engineering, IIT Roorkee, Roorkee, India
  
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Chinese Library of Science
  
• 出版者：Institute of Engineering Mechanics (IEM), China Earthquake Administration
• ISSN：1993-503X

文摘

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. Keywords time-frequency distribution seismic signals cross-term interference Gabor transform Wigner- Ville distribution Gabor-Wigner transform