| 采用主成分分析结合相关系数法提高苯及其同系物含量预测结果的准确度 |
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| 引用本文： | 武中臣,徐晓轩,杨仁杰,俞钢,张存洲. 采用主成分分析结合相关系数法提高苯及其同系物含量预测结果的准确度[J]. 光谱学与光谱分析, 2004, 24(12): 1566-1570 |
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| 作者姓名： | 武中臣 徐晓轩 杨仁杰 俞钢 张存洲 |
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| 作者单位： | 南开大学物理科学学院光子学中心,天津,300071;美国Dupont Displays(南开大学讲座教授),天津,300071 |
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| 基金项目： | 国家教育部振兴计划基金项目资助 |
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| 摘 要： | 采用短波近红外光谱法对苯及其同系物进行了检测，研究了多组分近红外光谱主成分的特点和物理意义。指出前几个主成分和此多组分混合物的相关系数曲线十分相似，给予理论证明并指出了成立的条件。主成分结合相关系数法可以鉴别出系统高频噪声，扣除这部分噪音可有效地提高预测模型的预测准确度。
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| 关 键 词： | 主成分 噪音 偏最小二乘回归 相关系数 近红外光谱 苯 同系物 |
| 文章编号： | 1000-0593(2004)12-1566-05 |
| 修稿时间： | 2003-12-06 |
Adopting the Method of Principal Components Analysis Combined with Correlation Coefficient to Increase the Predicted Concentration's Accuracy of Benzene and Its Homology Mixture |
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| WU Zhong-chen ,XU Xiao-xuan ,YANG Ren-jie ,YU Gang ,ZHANG Cun-zhou. Adopting the Method of Principal Components Analysis Combined with Correlation Coefficient to Increase the Predicted Concentration's Accuracy of Benzene and Its Homology Mixture[J]. Spectroscopy and Spectral Analysis, 2004, 24(12): 1566-1570 |
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| Authors: | WU Zhong-chen XU Xiao-xuan YANG Ren-jie YU Gang ZHANG Cun-zhou |
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| Affiliation: | The Photonics Center of the Physics Institute, Nankai University, Tianjin 300071, China. |
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| Abstract: | The concentrations of benzene and its homology mixture were measured by near infrared spectra, and the emphasis was put on the character of the principal component and its physical significance. It is pointed out that the anterior principal components are very similar to the correlation coefficient of the multi-component solution and the theoretical proof for the right condition is given. The high frequency noise of the system can be checked out by principal component combined with the correlation coefficient. Removing the noise can greatly increase the accuracy of the prediction model. |
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| Keywords: | The principal component Noise Partial least-squares regression Correlation coefficient Near infrared spectrum Benzene Homologue |
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