• Infrared and Laser Engineering
  • Vol. 50, Issue 7, 20210223 (2021)
Miao Yu1, Yaolu Zhang2, Zechen Xu3, and Yutong He1
Author Affiliations
  • 1School of Electronic Information Engineering, University of Electronic Science and Technology of China, Zhongshan Institute, Zhongshan 528402, China
  • 2College of Instrumentation & Electrical Engineering, Jilin University, Changchun 130012, China
  • 3College of Physics & Information Engineering, Fuzhou University, Fuzhou 350108, China
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    DOI: 10.3788/IRLA20210223 Cite this Article
    Miao Yu, Yaolu Zhang, Zechen Xu, Yutong He. Signal feature extraction method based on MEEMD-HHT for distributed optical fiber vibration sensing system[J]. Infrared and Laser Engineering, 2021, 50(7): 20210223 Copy Citation Text show less
    Experimental device diagram of distributed optical vibration sensing system
    Fig. 1. Experimental device diagram of distributed optical vibration sensing system
    Vibration simulation signal and the composition of the time-domain waveform
    Fig. 2. Vibration simulation signal and the composition of the time-domain waveform
    EMD decomposition results of simulation signal
    Fig. 3. EMD decomposition results of simulation signal
    CEEMD decomposition results of simulation signal
    Fig. 4. CEEMD decomposition results of simulation signal
    MEEMD decomposition results of simulation signal
    Fig. 5. MEEMD decomposition results of simulation signal
    Reconstruction error of three decomposition methods
    Fig. 6. Reconstruction error of three decomposition methods
    Phase-time change curves of vibration signals of different frequencies demodulated by the system
    Fig. 7. Phase-time change curves of vibration signals of different frequencies demodulated by the system
    Hilbert spectrum after three kinds of empirical mode decomposition and Hilbert transforn of vibration signal whose frequency is 100 Hz
    Fig. 8. Hilbert spectrum after three kinds of empirical mode decomposition and Hilbert transforn of vibration signal whose frequency is 100 Hz
    Hilbert spectrum after three kinds of empirical mode decomposition and Hilbert transforn of vibration signal whose frequency is 200 Hz
    Fig. 9. Hilbert spectrum after three kinds of empirical mode decomposition and Hilbert transforn of vibration signal whose frequency is 200 Hz
    Hilbert spectrum after three kinds of empirical mode decomposition and Hilbert transforn of vibration signal whose frequency is 50 Hz,200 Hz,350 Hz
    Fig. 10. Hilbert spectrum after three kinds of empirical mode decomposition and Hilbert transforn of vibration signal whose frequency is 50 Hz,200 Hz,350 Hz
    Hilbert spectrum after three kinds of empirical mode decomposition and Hilbert transforn of vibration signal whose frequency is 150 Hz,250 Hz,450 Hz
    Fig. 11. Hilbert spectrum after three kinds of empirical mode decomposition and Hilbert transforn of vibration signal whose frequency is 150 Hz,250 Hz,450 Hz
    Marginal spectra of three decomposition methods on different frequencies
    Fig. 12. Marginal spectra of three decomposition methods on different frequencies
    ${x_1}\left( t \right)$${x_2}\left( t \right)$${x_3}\left( t \right)$${x_4}\left( t \right)$${x_5}\left( t \right)$${x_6}\left( t \right)$${x_7}\left( t \right)$${x_8}\left( t \right)$
    ${H_p}$0.46100.17530.20020.14270.00600.22730.61630.9689
    Table 1. Permutation entropy of eight signals
    MethodAdded noise’ amplitude: ${a_i}$Added noise’ number: ${N_e}$Computing time/sCompletenessIndex of orthogonalityIMF’s number
    EMDNoneNone0.18190.26640.41717
    CEEMD0.3506.58730.18970.20537
    MEEMD0.3501.27320.01520.00274
    Table 2. Each method index
    Test frequency/Hz1050100150200300400500Average accuracyThe average time/s
    Sample number/Group5050505050505050
    EMD’s accuracy78%80%84%86%88%86%83%80%83.1%0.1635
    CEEMD’s accuracy90%86%94%94%92%96%91%90%91.6%3.2534
    MEEMD’s accuracy98%98%100%100%100%100%100%98%99.2%1.0387
    Table 3. Frequency extraction accuracy test
    Feature extraction methodAverage accuracyAverage number of eigenvectorsAverage time/s
    EMD-HHT82.5%9.23.8634
    CEEMD-HHT91.1%7.17.1857
    MEEMD-HHT98.1%4.23.8259
    Table 4. Three methods of experimental results
    Miao Yu, Yaolu Zhang, Zechen Xu, Yutong He. Signal feature extraction method based on MEEMD-HHT for distributed optical fiber vibration sensing system[J]. Infrared and Laser Engineering, 2021, 50(7): 20210223
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