• Laser & Optoelectronics Progress
  • Vol. 60, Issue 7, 0730001 (2023)
Ansheng Zhao1, Xu Yang1、*, He Zhang2, and Zhilong Zhang1
Author Affiliations
  • 1School of Electronic Information Engineering, Changchun University of Science and Technology, Changchun 130022, Jilin, China
  • 2State Key Laboratory of High Power Semiconductor Laser, Changchun University of Science and Technology, Changchun 130022, Jilin, China
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    DOI: 10.3788/LOP213359 Cite this Article Set citation alerts
    Ansheng Zhao, Xu Yang, He Zhang, Zhilong Zhang. Research on Noise Reduction Method of Second-Harmonic Signal[J]. Laser & Optoelectronics Progress, 2023, 60(7): 0730001 Copy Citation Text show less
    Wavelet threshold denoising process
    Fig. 1. Wavelet threshold denoising process
    Flow chart of EMD-DFA-wavelet adaptive threshold denoising method
    Fig. 2. Flow chart of EMD-DFA-wavelet adaptive threshold denoising method
    Second harmonic signals. (a) Original second harmonic signal; (b) second harmonic signal with noise
    Fig. 3. Second harmonic signals. (a) Original second harmonic signal; (b) second harmonic signal with noise
    IMFs of signals with noise. (a) IMF1; (b) IMF2; (c) IMF3; (d) IMF4
    Fig. 4. IMFs of signals with noise. (a) IMF1; (b) IMF2; (c) IMF3; (d) IMF4
    EMD-DFA-wavelet adaptive threshold noise reduction
    Fig. 5. EMD-DFA-wavelet adaptive threshold noise reduction
    Comparison of original signal and EMD-DFA-wavelet adaptive threshold denoising signals
    Fig. 6. Comparison of original signal and EMD-DFA-wavelet adaptive threshold denoising signals
    Noise reduction effect diagram of different algorithms. (a) Use EMD-DFA to reduce noise; (b) use wavelet soft threshold to reduce noise; (c) use wavelet hard threshold to reduce noise; (d) use wavelet adaptive threshold to reduce noise
    Fig. 7. Noise reduction effect diagram of different algorithms. (a) Use EMD-DFA to reduce noise; (b) use wavelet soft threshold to reduce noise; (c) use wavelet hard threshold to reduce noise; (d) use wavelet adaptive threshold to reduce noise
    System structure diagram
    Fig. 8. System structure diagram
    Relationship between second harmonic amplitude and CO2 concentration before denoising
    Fig. 9. Relationship between second harmonic amplitude and CO2 concentration before denoising
    Relationship between second harmonic signal and CO2 concentration after EMD-DFA-wavelet adaptive threshold noise reduction processing
    Fig. 10. Relationship between second harmonic signal and CO2 concentration after EMD-DFA-wavelet adaptive threshold noise reduction processing
    Linear fitting of relationship between amplitude of second harmonic and concentration of CO2
    Fig. 11. Linear fitting of relationship between amplitude of second harmonic and concentration of CO2
    αSignal correlation
    0<α<0.5Short-range correlation
    α=0.5Irrelevant
    α>0.5Long-term correlation
    Table 1. α correlation with time series
    Portionα
    10.4055
    20.2557
    30.2968
    40.3262
    50.7660
    60.8120
    70.8321
    80.8966
    90.9304
    100.9779
    110.9907
    121.0092
    Table 2. Scale index of each order IMFs of second harmonic signal
    Denoising methodRMSE /%MAE /%SNR /dBPSNR /dBCC /%
    EMD-DFA0.02671.299022.786237.190399.6916
    Wavelet soft threshold0.01330.930625.810640.214799.8499
    Wavelet hard threshold0.02531.004623.023137.427299.7067
    Wavelet adaptive threshold0.03141.219822.087136.491299.6366
    EMD-DFA-wavelet adaptive threshold0.00870.751327.671142.075299.9018
    Table 3. Comparison of effects of various denoising methods
    Ansheng Zhao, Xu Yang, He Zhang, Zhilong Zhang. Research on Noise Reduction Method of Second-Harmonic Signal[J]. Laser & Optoelectronics Progress, 2023, 60(7): 0730001
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