Author Affiliations
1School of Electronic Information Engineering, Changchun University of Science and Technology, Changchun 130022, Jilin, China2State Key Laboratory of High Power Semiconductor Laser, Changchun University of Science and Technology, Changchun 130022, Jilin, Chinashow less
Fig. 1. Wavelet threshold denoising process
Fig. 2. Flow chart of EMD-DFA-wavelet adaptive threshold denoising method
Fig. 3. Second harmonic signals. (a) Original second harmonic signal; (b) second harmonic signal with noise
Fig. 4. IMFs of signals with noise. (a) IMF1; (b) IMF2; (c) IMF3; (d) IMF4
Fig. 5. EMD-DFA-wavelet adaptive threshold noise reduction
Fig. 6. Comparison of original signal and EMD-DFA-wavelet adaptive threshold denoising signals
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
Fig. 8. System structure diagram
Fig. 9. Relationship between second harmonic amplitude and CO2 concentration before denoising
Fig. 10. Relationship between second harmonic signal and CO2 concentration after EMD-DFA-wavelet adaptive threshold noise reduction processing
Fig. 11. Linear fitting of relationship between amplitude of second harmonic and concentration of CO2
| Signal correlation |
---|
| Short-range correlation | | Irrelevant | | Long-term correlation |
|
Table 1. correlation with time series
Portion | |
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1 | 0.4055 | 2 | 0.2557 | 3 | 0.2968 | 4 | 0.3262 | 5 | 0.7660 | 6 | 0.8120 | 7 | 0.8321 | 8 | 0.8966 | 9 | 0.9304 | 10 | 0.9779 | 11 | 0.9907 | 12 | 1.0092 |
|
Table 2. Scale index of each order IMFs of second harmonic signal
Denoising method | RMSE /% | MAE /% | SNR /dB | PSNR /dB | CC /% |
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EMD-DFA | 0.0267 | 1.2990 | 22.7862 | 37.1903 | 99.6916 | Wavelet soft threshold | 0.0133 | 0.9306 | 25.8106 | 40.2147 | 99.8499 | Wavelet hard threshold | 0.0253 | 1.0046 | 23.0231 | 37.4272 | 99.7067 | Wavelet adaptive threshold | 0.0314 | 1.2198 | 22.0871 | 36.4912 | 99.6366 | EMD-DFA-wavelet adaptive threshold | 0.0087 | 0.7513 | 27.6711 | 42.0752 | 99.9018 |
|
Table 3. Comparison of effects of various denoising methods