Instantaneous frequency identification for nonstationary signals of time-varying structures using enhanced synchroextracting wavelet transform and dynamic optimization

Author:

Jiang Yang1,Wang Xin-Yu2,Zhang Xi-Ling3,Zhang Kai4,Liu Jing-Liang2ORCID

Affiliation:

1. College of Horticulture and Landscape Architecture, Fujian Vocational College of Agriculture, Fuzhou, China

2. College of Transportation and Civil Engineering, Fujian Agriculture and Forestry University, Fuzhou, China

3. Fujian Guodian Commissioning Institute Co. Ltd, Fuzhou, China

4. Fujian Provincial Expressway Datong Testing Co. Ltd, Fuzhou, China

Abstract

Civil engineering structures under ambient excitations are essentially time-varying and nonlinear structural systems and the resultant response signals exhibit non-stationarity. To reveal the time-varying characteristics of non-stationary signals, time frequency analysis methods with high resolutions are required. Although synchroextracting short time Fourier transform (SESTFT) is able to generate more energy concentrated time frequency representations and allow signal reconstruction, its major disadvantage is the window function is fixed. To address this issue, an enhanced synchroextracting wavelet transform (ESEWT) method is proposed to refine frequency bands by combing synchroextracting and continuous wavelet transform. After that, dynamic optimization (DO) is used to extract instantaneous frequency (IF) curves within the refined frequency bands. Two numerical examples and an experimental study case are investigated to illustrate the effectiveness and accuracy of the proposed method. The results demonstrate that the proposed ESEWT is capable of extracting frequency bands more accurately and its combination with DO identifies IFs of non-stationary signals better than current time frequency analysis methods such as SESTFT.

Funder

Natural Science Foundation of Fujian Province

China Postdoctoral Science Foundation

Publisher

SAGE Publications

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