Chinese Optics, Volume. 17, Issue 6, 1340(2024)
Research on high-precision gas concentration inversion based on adaptive infrared multi-band joint spectral analysis
Fig. 1. Flow chart of adaptive multi-band joint concentration inversion algorithm
Fig. 4. (a) to (j) are the measured and theoretical transmittance spectra of N2O gas with different concentrations, where 1 to 2, 3 to 4 and 5 to 6 are the measured effective band ranges
Fig. 5. The spectral fitting results and residual distribution of N2O gas with concentration of 2.8% in the effective band of (a)
Fig. 6. The spectral fitting results and residual distribution of N2O gas with concentration of 4.4% in the effective band of (a)
Fig. 7. The error distribution of the traditional single-band, traditional multi-band, and adaptive multi-band joint concentration inversion results compared with the real values
Fig. 8. Distribution curve of adaptive multi-band joint concentration inversion results
Table 1. The measured and theoretical effective bands of N2O gas with 10 concentrations and their error analysis
View tableView in ArticleTable 1. The measured and theoretical effective bands of N2O gas with 10 concentrations and their error analysis
浓度 实测有效波段( cm−1) 理论有效波段( cm−1) 区间误差 2.8% 2144 ~2176 ,2519 ~2600 2141 ~2173 ,2520 ~2600 ≤4 cm−1 3.0% 2144 ~2176 ,2518 ~2600 2141 ~2173 ,2520 ~2600 ≤4 cm−1 3.2% 2143 ~2176 ,2518 ~2600 2141 ~2173 ,2520 ~2600 ≤4 cm−1 3.4% 2144 ~2176 ,2518 ~2600 2142 ~2174 ,2520 ~2600 ≤4 cm−1 3.6% 2143 ~2176 ,2519 ~2600 2142 ~2175 ,2519 ~2600 ≤4 cm−1 3.8% 2144 ~2176 ,2519 ~2600 2142 ~2174 ,2519 ~2600 ≤4 cm−1 4.0% 2144 ~2176 ,2519 ~2600 2144 ~2176 ,2519 ~2600 ≤4 cm−1 4.2% 2144 ~2176 ,2519 ~2600 2144 ~2176 ,2519 ~2600 ≤4 cm−1 4.4% 2144 ~2176 ,2430 ~2491 ,2519 ~2600 2144 ~2176 ,2430 ~2492 ,2519 ~2600 ≤4 cm−1 4.6% 2144 ~2176 ,2430 ~2491 ,2519 ~2600 2144 ~2176 ,2430 ~2492 ,2519 ~2600 ≤4 cm−1
Table 2. Inversion results of traditional single-band, traditional multi-band, and adaptive multi-band joint concentration methods
View tableView in ArticleTable 2. Inversion results of traditional single-band, traditional multi-band, and adaptive multi-band joint concentration methods
真实值 传统单波段浓度 反演结果Cn 传统多波段浓度 反演结果 $\bar{C} $ 自适应多波段联合 浓度反演结果 Hn Ĉ 2.8% C1=2.83%C2=2.72% 2.775% H1=0.67H2=0.33 2.794% 3.0% C1=2.93%C2=3.13% 3.030% H1=0.78H2=0.22 2.968% 3.2% C1=3.15%C2=3.35% 3.250% H1=0.85H2=0.15 3.180% 3.4% C1=3.35%C2=3.26% 3.305% H1=0.88H2=0.12 3.339% 3.6% C1=3.63%C2=3.51% 3.570% H1=0.89H2=0.11 3.616% 3.8% C1=3.83%C2=3.89% 3.860% H1=0.78H2=0.22 3.843% 4.0% C1=4.03%C2=3.88% 3.955% H1=0.91H2=0.09 4.016% 4.2% C1=4.17%C2=4.31% 4.240% H1=0.87H2=0.13 4.188% 4.4% C1=4.43%C2=4.37%C3=4.48% 4.427% H1=0.41H2=0.39H3=0.20 4.416% 4.6% C1=4.61%C2=4.55%C3=4.52% 4.560% H1=0.73H2=0.18H3=0.09 4.591%
Table 3. The evaluation results of traditional single-band, traditional multi-band, and adaptive multi-band joint concentration inversion algorithms
View tableView in ArticleTable 3. The evaluation results of traditional single-band, traditional multi-band, and adaptive multi-band joint concentration inversion algorithms
S R2 RMSE MAE MRE 传统单波段浓度反演 22 0.9820 0.0796 0.0686 0.0191 传统多波段联合浓度反演 10 0.9928 0.0484 0.0442 0.0122 自适应多波段联合浓度反演 10 0.9976 0.0283 0.0231 0.0065
Table 4. The correlation coefficients of N2O with different concentrations
View tableView in ArticleTable 4. The correlation coefficients of N2O with different concentrations
浓度 相关系数 2.0% 0.999177 2.2% 0.999622 2.4% 0.999286 2.6% 0.999139 4.8% 0.999201 5.0% 0.999148 5.2% 0.999172 5.4% 0.999379 5.6% 0.999485 5.8% 0.999521
Table 5. The evaluation results of CO and SO2 by adaptive multi-band joint concentration inversion algorithm
View tableView in ArticleTable 5. The evaluation results of CO and SO2 by adaptive multi-band joint concentration inversion algorithm
气体 浓度\间隔 R2 RMSE MAE MRE SO2 1%~10%/1% 0.9652 0.0393 0.0237 0.0172 CO 0.1%~1%/0.1% 0.9943 0.0205 0.0147 0.0065
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Guan-cheng WANG, Bai-xuan ZHAO, Kai-feng ZHENG, Yu-peng CHEN, Ying-ze ZHAO, Yu-xin QIN, Wei-biao WANG, Guo-hao LIU, Kai-yang SHENG, Jin-guang LV, Jing-qiu LIANG. Research on high-precision gas concentration inversion based on adaptive infrared multi-band joint spectral analysis[J]. Chinese Optics, 2024, 17(6): 1340
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Received: Apr. 15, 2024
Accepted: May. 24, 2024
Published Online: Jan. 14, 2025
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