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Instantaneous frequency estimation of nonstationary response signals of time-varying structures based on ILMSST
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Jingliang LIU1, 2, Yuzu LI1, Jielong SU1, Yongpeng LUO1, 2, Ye SHENG1, 2
Earthquake Engineering and Engineering Dynamics | 2024, 44(2) : 72 - 80
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Earthquake Engineering and Engineering Dynamics | 2024, 44(2): 72-80
Instantaneous frequency estimation of nonstationary response signals of time-varying structures based on ILMSST
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Jingliang LIU1, 2, Yuzu LI1, Jielong SU1, Yongpeng LUO1, 2, Ye SHENG1, 2
Affiliations
  • 1.School of Transportation and Civil Engineering, Fujian Agriculture and Forestry University, Fuzhou 350108, China
  • 2.“Digital Fujian” Laboratory of Internet Things for Intelligent Transportation Technology, Fuzhou 350108, China
doi: 10.13197/j.eeed.2024.0208
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In order to get rid of the problems of inaccurate instantaneous frequency (IF) estimation and energy dissipation inside the local maximum synchrosqueezing transform algorithm, an improved method is proposed and named as local maximum synchrosqueezing transform (ILMSST). Firstly, multiple iterations are performed on the obtained IF positions to get more precise IF positions. Secondly, the IF positions where maximum values of STFT coefficients appear are searched and then moved up and down to pre-estimate IF bands. After that, the STFT coefficients outside the pre-determined IF bands are totally assigned to zero. Finally, the IF positions that correspond to local maximum values of STFT coefficients are found out and subsequently an operation of reassignment is performed on the obtained IF positions to get refined IF bands. To verify the effectiveness of the proposed method, two numerical cases and two tests on a seven-story reinforced concrete shear wall structure and a steel cable with time-varying tension forces are investigated. The results demonstrate that the proposed ILMSST method behaves better than current local maximum synchrosqueezing transform. Moreover, it not only enhances the accuracy of IF estimation but also improves time-frequency energy concentration.

time-varying  /  local maximum synchrosqueezing transform  /  time frequency coefficient  /  instantaneous frequency  /  time frequency analysis
Jingliang LIU, Yuzu LI, Jielong SU, Yongpeng LUO, Ye SHENG. Instantaneous frequency estimation of nonstationary response signals of time-varying structures based on ILMSST[J]. Earthquake Engineering and Engineering Dynamics, 2024 , 44 (2) : 72 -80 . DOI: 10.13197/j.eeed.2024.0208
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Year 2024 volume 44 Issue 2
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Article Info
doi: 10.13197/j.eeed.2024.0208
  • Receive Date：2022-10-30
  • Online Date：2026-03-30
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  • Received：2022-10-30
  • Revised：2022-12-30
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Affiliations
    1.School of Transportation and Civil Engineering, Fujian Agriculture and Forestry University, Fuzhou 350108, China
    2.“Digital Fujian” Laboratory of Internet Things for Intelligent Transportation Technology, Fuzhou 350108, China
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