锌溶液中痕量Cu
2+、Co
2+的检测光谱预处理方法
Spectral Pretreatment Method for Detection of Trace Cu
2+ and Co
2+ in Zinc Solution
中南大学信息科学与工程学院, 湖南 长沙 410083
图 & 表
图 1. 三种单离子的光谱分析。(a)单离子原始光谱;(b) 波长点信息占比离子分析图
Fig. 1. Spectra analysis of three single ions. (a) Original spectra of single ions; (b) ion proportion at wavelength point
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图 2. 不同阶次的光谱信号。(a)原始光谱信号;(b)原始光谱滤波信号;(c)一阶光谱滤波信号;(d)二阶光谱滤波信号
Fig. 2. Spectral signals with different orders. (a) Original spectral signals; (b) original spectral filtering signals; (c) first-order spectral filtering signals; (d) second-order spectral filtering signals
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图 3. 不同离子覆盖度与阶次的关系。(a) Co2+; (b) Cu2+
Fig. 3. Relationship among coverage degrees and orders for different ions. (a) Co2+; (b) Cu2+
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图 4. 小波滤波-分数阶微分方法的失真度与阶数的拟合图
Fig. 4. Fitting plot of order and distortion degree with wavelet filtering-fractional differentiation method
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图 5. 不同离子的非劣解集图。(a) Co2+; (b) Cu2+
Fig. 5. Non-inferior solution sets of different ions. (a) Co2+; (b) Cu2+
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图 6. 不同微分阶数光谱图。(a)原始光谱图;(b) 1阶光谱图;(c) 2阶光谱图;(d) 1.4阶光谱图;(e) 1.5阶光谱图
Fig. 6. Spectra with different differential orders. (a) Original spectra; (b) first-order spectra; (c) second-order spectra; (d) 1.4-order spectra; (e) 1.5-order spectra
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图 7. 预处理后基于多指标融合特征波长点提取
Fig. 7. Wavelength point selection based on multi-index fusion feature after pretreatment
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图 8. 不同离子的预测质量浓度误差图。(a) Co2+; (b) Cu2+
Fig. 8. Errors between predicted and actual mass concentrations of different ions. (a) Co2+; (b) Cu2+
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表 1试剂体系的选择
Table1. Selection of reagent system
Parameter | Value |
---|
Mass concentration of nitroso-R-salt /(g·L-1) | 0.04 | pH of NaAc-HAc | 5.5 | Mass concentration of Cu2+ /(mg·L-1) | 10 | Mass concentration of Co2+ /(mg·L-1) | 10 | Mass concentration of Zn2+ /(g·L-1) | 50 |
|
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表 2不同阶数微分方法得到的覆盖度和失真度
Table2. Coverage degree and distortion degree with differentiation methods with different orders
Ions | Index | Original spectrum | First-order differentiation | Second-order differentiation | MOPSO |
---|
Co2+ | Coverage degree | 0.7481 | 0.7082 | 0.7506 | 0.6808 | Distortion degree | 0.5869 | 0.6574 | 0.9824 | 0.2498 | Cu2+ | Coverage degree | 1 | 0.9701 | 0.8529 | 0.9252 | Distortion degree | 0.5869 | 0.6574 | 0.9824 | 0.5707 |
|
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表 3不同预处理结果的对比
Table3. Comparison of results by different pretreatments
Ions | Index | Original spectra | First-order differentiation | Second-order differentiation | Fractional differentiation |
---|
Co2+ | RMSEP | 0.2963 | 0.1219 | 0.1373 | 0.1175 | R2 | 0.9098 | 0.9840 | 0.9796 | 0.9866 | Maximum relative error /% | 161.53 | 19.71 | 25.83 | 15.54 | Mean relative error /% | 26.80 | 6.14 | 7.36 | 5.25 | Qualified rate /% | 37.5 | 81.25 | 75 | 93.75 | Cu2+ | RMSEP | 0.0810 | 0.0666 | 0.1998 | 0.0679 | R2 | 0.9922 | 0.9943 | 0.9513 | 0.9939 | Maximum relative error /% | 22.53 | 13.96 | 134.80 | 8.53 | Mean relative error /% | 6.23 | 4.36 | 20.72 | 3.26 | Qualified rate /% | 75 | 93.75 | 43.75 | 100 |
|
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朱红求, 陈俊名, 阳春华, 李勇刚, 龚娟. 锌溶液中痕量Cu
2+、Co
2+的检测光谱预处理方法
[J]. 光学学报, 2019, 39(1): 0130001. Hongqiu Zhu, Junming Chen, Chunhua Yang, Yonggang Li, Juan Gong. Spectral Pretreatment Method for Detection of Trace Cu
2+ and Co
2+ in Zinc Solution
[J]. Acta Optica Sinica, 2019, 39(1): 0130001.