Browse > Article
http://dx.doi.org/10.12989/sss.2021.28.5.675

Structural instantaneous frequency extraction based on improved multi-synchrosqueezing generalized S-transform  

Yuan, Ping-Ping (School of Materials Science and Engineering, Jiangsu University of Science and Technology)
Cheng, Xue-Li (School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology)
Wang, Hang-Hang (School of Civil Engineering and Architecture, Jiangsu University of Science and Technology)
Zhang, Jian (School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology)
Shen, Zhong-Xiang (School of Civil Engineering and Architecture, Jiangsu University of Science and Technology)
Ren, Wei-Xin (College of Civil and Transportation Engineering, Shenzhen University)
Publication Information
Smart Structures and Systems / v.28, no.5, 2021 , pp. 675-687 More about this Journal
Abstract
A new method is proposed to improve the accuracy of structural instantaneous frequency (IF) extraction. The proposed method combines a new form of improved generalized S-transform (IGST) and a multi-synchrosqueezing operation. The parameters selection of the window function in IGST is derived through the concentration measure (CM) principle. Then, the multi-synchrosqueezing algorithm is employed to improve energy aggregation of time-frequency analysis (TFA). To verify the effectiveness and accuracy of the proposed improved multi-synchrosqueezing generalized S-transform (IMSSGST), a frequency-modulated multi-component signal is investigated. For structural IF extraction, a two-story shear frame and a three-story steel frame structure are introduced. Furthermore, the IF identification of a seven-story RC shear wall structure is conducted to verified the practicability in actual engineering. Numerical simulation and experimental results show that the proposed method can effectively improve the energy aggregation of TFA and effectively improve the accuracy of IF identification.
Keywords
concentration measure; improved multi-synchrosqueezing generalized S-transform; improved generalized S-transform; instantaneous frequency; time-frequency analysis;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Zhang, W.H., Hu, M.H., Jiang, Z.N. and Feng, K. (2020), "Order tracking method for gas turbine combined with synchroextracting transform and Vold-Kalman filtering", J. Mech. Electr. Eng., 37(09), 1104-1108.
2 Patil, D.O. and Hamde, S.T. (2021), "Automated detection of brain tumor disease using empirical wavelet transform based LBP variants and ant-lion optimization", Multimed. Tools Appl., 80, 17955-17982. https://doi.org/10.1007/s11042-020-10434-2   DOI
3 Kijewski, T. and Kareem, A. (2010), "Wavelet transforms for system identification in civil engineering", Comput.-Aid. Civ. Inf., 18(5), 339-355. https://doi.org/10.1111/1467-8667.t01-1-00312   DOI
4 Le, T.P. and Argoul, P. (2015), "Distinction between harmonic and structural components in ambient excitation tests using the time-frequency domain decomposition technique", Mech. Syst. Signal Pr., 52-53, 29-45. https://doi.org/10.1016/j.ymssp.2014.07.008   DOI
5 Li, C. and Liang, M. (2012), "A generalized synchrosqueezing transform for enhancing signal time time-frequency representation", Signal Process., 92(9), 2264-2274. https://doi.org/10.1016/j.sigpro.2012.02.019   DOI
6 Pham, D.H. and Meignen, S. (2017), "High-order synchrosqueezing transform for multicomponent signals analysis-with an application to gravitational gravitational-wave signal", IEEE T. Signal Process., 65(12), 3168-3177. https://doi.org/10.1109/TSP.2017.2686355   DOI
7 Sanchez, W.D., Brito, J.V.D. and Avila, S.M. (2020), "Structural health monitoring using synchrosqueezed wavelet transform on IASC-ASCE benchmark phase I", Int. J. Struct. Stab. Dyn., 20(12), 2050138. https://doi.org/10.1142/S0219455420501382   DOI
8 Stankovic, L. (2001), "A measure of some time-frequency distributions concentration", Signal Process., 81(3), 621-631. https://doi.org/10.1016/S0165-1684(00)00236-X   DOI
9 Liu, N., Gao, J., Zhang, B., Wang, Q. and Jiang, X. (2019), "Self-adaptive generalized S-transform and its application in seismic time-frequency analysis", IEEE Geosci. Remote S., 57(10), 7849-7859. https://doi.org/100.1109/TGRS.2019.2916792   DOI
10 Assous, S. and Boashash, B. (2012), "Evaluation of the modified S-transform for time-frequency synchrony analysis and source localization", Eurasip J. Adv. Signal Process, 2012, 49. https://doi.org/10.1186/1687-6180-2012-49   DOI
11 Behera, R., Meignen, S. and Oberlin, T. (2018), "Theoretical analysis of second-order synchrosqueezing transform", Appl. Comput. Harmon. Anal., 45(2), 379-404. https://doi.org/10.1016/j.acha.2016.11.001   DOI
12 Daubechies, I., Lu, J.F. and Wu, H.T. (2011), "Synchrosqueezed wavelet transforms: An empirical mode decomposition decomposition-like tool", Appl. Comput. Harmon. A., 30(2), 243-261. https://doi.org/10.1016/j.acha.2010.08.002   DOI
13 Djurovic, I., Sejdic, E. and Jiang, J. (2008), "Frequency-based window width optimization for S-transform", AEU-Int. J. Electron. C., 62, 245-250. https://doi.org/10.1016/j.aeue.2007.03.014   DOI
14 Guo, S.X. and Pei, Q. (2017), "Application of short-time Fourier transform to high-rise frame structural-health monitoring based on change of inherent frequency over time", J. Chongqing Univ. (English Edition),16(01), 1-10.
15 Hou, Z., Hera, A. and Shinde, A. (2010), "Wavelet-based structural health monitoring of earthquake excited structures", Comput-Aided Civ. Inf., 21(4), 268-279. https://doi.org/10.1111/j.1467-8667.2006.00434.x   DOI
16 Cao, H., Xi, S., Chen, X. and Wang, S. (2016), "Zoom synchrosqueezing transform and iterative demodulation: Methods with application", Mech. Syst. Signal Pr., 72-73, 695-711. https://doi.org/10.1016/j.ymssp.2015.11.030   DOI
17 Liu, J.L., Wei, X.J., Qiu, R.H., Zheng, J.Y., Zhu, Y.J. and Irwanda, L. (2018a), "Instantaneous frequency extraction in time-varying structures using a maximum gradient method", Smart Struct. Syst., Int. J., 22(3), 359-368. https://doi.org/10.12989/sss.2018.22.3.359   DOI
18 Liu, N., Gao, J., Zhang, Z., Jiang, X. and Lv, Q. (2017b), "High-resolution characterization of geologic structures using the synchrosqueezing transform", Interpret.-J. Sub., 5(1), 75-85. https://doi.org/10.1190/INT-2016-0006.1   DOI
19 Li, Z., Gao, J., Wang, Z., Liu, N. and Yang, Y. (2020), "Time-synchroextracting general Chirplet transform for seismic time-frequency analysis", IEEE Trans. Geosci. Remote Sens., 58(12), 8626-8636. https://doi.org/10.1109/TGRS.2020.2989403   DOI
20 Liu, N., Gao, J., Zhang, B., Li, F. and Wang, Q. (2017a), "Time-frequency analysis of seismic data using a three parameters S transform", IEEE Geosci. Remote S., 15(1), 142-146. https://doi.org/10.1109/LGRS.2017.2778045   DOI
21 Liu, N., Gao, J., Jiang, X., Zhang, Z. and Wang, P. (2018b), "Seismic instantaneous frequency extraction based on the SST-MAW", J. Geophys. Eng., 15(3), 995-1007. https://doi.org/10.1088/1742-2140/aa8cb6   DOI
22 Ni, S.H., Yang, Y.Z. and Tsai, P.H. (2017), "Evaluation of pile defects using complex continuous wavelet transform analysis", NDT&E Int., 87, 50-59. https://doi.org/10.1016/j.ndteint.2017.01.007   DOI
23 Oberlin, T., Meignen, S. and Perrier, V. (2015), "Second-order synchrosqueezing transform or invertible reassignment? Towards ideal time time-frequency representations", IEEE T. Signal Process., 63(5), 1335-1344. https://doi.org/10.1109/TSP.2015.2391077   DOI
24 Zheng, J., Pan, H., Yang, S. and Cheng, J. (2017), "Adaptive parameterless empirical wavelet transform based time time-frequency analysis method and its application to rotor rubbing fault diagnosis", Signal Process Process., 130, 305-314. https://doi.org/10.1016/j.sigpro.2016.07.023   DOI
25 Wang, Z.C., Ren, W.X. and Chen, G.D. (2018), "Time-frequency analysis and applications in time-varying/nonlinear structural systems: A state-of-the-art review", Adv. Struct. Eng., 21(10), 1562-1584. https://doi.org/10.1177/1369433217751969   DOI
26 Xu, X.Z., Zhang, Z.Y., Hua, H.X. and Chen, Z.N. (2003), "Identification of time-varying modal parameters by a linear time-frequency method", J. Vib. Eng., 3, 104-108.
27 Zhang, Z.Y., Liu, Y.X. and Li, X.Y. (2018), "Extracting instantaneous attributes of seismic signals with synchrosqueezing wavelet transform", Comput. Measur. Control, 26(10), 260-263.
28 Zidelmal, Z., Hamil, H., Moukadem, A., Amirou, A. and Ould-Abdeslam, D. (2017), "S-transform based on compact support kernel", Digit. Signal Process., 62, 137-149. https://doi.org/10.1016/j.dsp.2016.11.008   DOI
29 Moukadem, A., Bouguila, Z., Ould-Abdeslam, D. and Dieterlen, A. (2015), "A new optimized Stockwell transform applied on synthetic and real non-stationary signals", Digit. Signal Process., 46, 226-238. https://doi.org/10.1016/j.dsp.2015.07.003   DOI
30 Feng, Z., Chen, X. and Liang, M. (2015), "Iterative generalized synchrosqueezing transform for fault diagnosis of wind turbine planetary gearbox under nonstationary conditions", Mech. Syst. Signal Pr., 52, 360-375. https://doi.org/10.1016/j.ymssp.2014.07.009   DOI
31 Kang, J.X. (2018), "Research on improved synchroextracting transform and its application in seismic signal processing", ChengDu University of Technology.
32 Pinnergar, C.R. and Mansinha, L. (2003), "The S-transform with windows of arbitrary and varying shape", Geophysics, 68, 381-385. https://doi.org/10.1190/1.1543223   DOI
33 Lei, Y., Lin, J., He, Z., and Zuo, M.J. (2013), "A review on empirical mode decomposition in fault diagnosis of rotating machinery", Mech. Syst. Signal Pr., 35, 108-126. https://doi.org/10.1016/j.ymssp.2012.09.015   DOI
34 Liu, J.L., Wang, Z.C., Ren, W.X. and Li, X.X. (2015), "Structural time-varying damage detection using synchrosqueezing wavelet transform", Smart Struct. Syst., Int. J., 15(1), 119-133. https://doi.org/10.12989/sss.2015.15.1.119   DOI
35 Panagiotou, M., Restrepo, Jose, I. and Conte, J.P. (2011), "Shake-table test of a full-scale 7-story building slice. Phase I: Rectangular wall", J. Struct. Eng., 137(6), 691-704. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000332   DOI
36 Thakur, G. and Wu, H.T. (2011), "Synchrosqueezing-based recovery of instantaneous frequency from nonuniform samples", SIAM J. Math. Anal., 43(5), 2078-2095. https://doi.org/10.1137/100798818   DOI
37 Yu, G., Yu, M. and Xu, C. (2017), "Synchroextracting transform", IEEE T. Ind. Electron., 64(10), 8042-8054.   DOI