光谱学与光谱分析, 2009, 29 (7): 1946, 网络出版: 2010-05-26  

混合光谱中已知组分光谱的自加强方法研究

The Self Intensification of the Pure Spectrum in the Mixed Spectrum
作者单位
贵州大学理学院, 贵州 贵阳550025
摘要
通过数学变换手段将混合物光谱中某待测组分(已知纯光谱组分)所包含的信息集中于原点, 使得待分析组分光谱在变换结果曲线的原点处贡献最大, 称之为纯光谱组分的自加强作用; 在杂质光谱所包含谱带中心位置与待分析组分纯光谱差别较大的假设基础之上, 通过理论分析可认为杂质光谱在变换结果曲线原点处贡献最小, 因而可选择变换结果曲线原点处的小波变换系数作为待测组分定量分析的依据, 降低了分析位置选择的人为性, 增强了分析手段的可靠性与适应性。 模拟对比了理想曲线与含加性高斯白噪声信号的变换结果, 证明该方法具有好的抗噪特性。 模拟分析结果表明, 该方法相比以往文献报道的单纯利用小波系数作为定量分析依据的做法在分析误差方面有很大改善。
Abstract
In the present paper, the influence of the pure spectrum contained in the mixed spectrum was centralized at the origin, and in this way, the influence of the pure spectrum in the result curve reached the maximum value. This process is called the self intensification of the pure spectrum. Farther, considering that the center of the Gaussian function contained in the impure spectrum is much different from that of the pure spectrum, it can be accepted that the influence of the impure spectrum at the origin is approximately the minimum. So the origin was chosen as the analysis point when the authors perform the quantitative analysis according to the spectrum. Therefore we can reduce the subjectivity in choosing the analysis point. In addition, the wavelet coefficients of the result curve at the origin were used for the quantitative analysis. According to the simulated experiment, it was found that the final result is independent of the Gaussian white noise contained in the actual spectrum. Finally, the analytic result of the new method was compared with that of the method reported in the literature, which proved that the new method is much better in terms of the analytic error.

王志平, 唐延林, 张芙蓉, 刘芸. 混合光谱中已知组分光谱的自加强方法研究[J]. 光谱学与光谱分析, 2009, 29(7): 1946. WANG Zhi-ping, TANG Yan-lin, ZHANG Fu-rong, LIU Yun. The Self Intensification of the Pure Spectrum in the Mixed Spectrum[J]. Spectroscopy and Spectral Analysis, 2009, 29(7): 1946.

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