基于MATLAB洛伦兹线型非线性拟合算法实现

大气与环境光学学报 ›› 2015, Vol. 10 ›› Issue (3): 246-251.

基于MATLAB洛伦兹线型非线性拟合算法实现

徐秀敏, 张玉钧*, 何莹, 尤坤, 王立明, 周毅, 高彦伟, 刘建国

( 中国科学院安徽光学精密机械研究所中国科学院环境光学与技术重点实验室, 安徽合肥 230031 )

收稿日期:2014-04-24 修回日期:2014-05-08 出版日期:2015-05-28 发布日期:2015-05-18
作者简介:徐秀敏(1989-)，男,安徽无为人，研究生，主要从事可调谐半导体激光吸收光谱法痕量气体检测的应用研究。
基金资助:
国家重大科学仪器设备开发专项（2012YQ22011902），国家“十二五”科技支撑计划（2013BAK06B08），国家自然科学基金面上项目（41071150），“十二五”农村领域国家科技计划课题（2012BAJ24B02）资助

The Algorithm Implementation of Lorentz Linetype Nonlinear Fitting Based on MATLAB

XU Xiumin, ZHANG Yujun*, HE Ying, YOU Kun, WANG Liming, ZHOU Yi, GAO Yanwei, LIU Jianguo

(Key Laboratory of Environmental Opticsand Technology, Anhui Institute of Optics and Fine Mechanics, the Chinese Academy of Sciences, Hefei 230031, China)

Received:2014-04-24 Revised:2014-05-08 Published:2015-05-28 Online:2015-05-18

摘要/Abstract

摘要：

可调谐半导体吸收光谱（TDLAS）技术具有高选择性、高分辨率和速度快等优点，已经在环境检测、工业过程检测等方面得到广泛应用。本文主要分析洛伦兹线型拟合，研究Levenberg-Marquardt算法的原理及实现步骤，基于Levenberg Marquardt算法实现吸收谱线的洛伦兹线型拟合。对六组不同浓度的CO2标准气体进行浓度反演，反演浓度与实际浓度的相关系数达0.9928，表明洛伦兹线型拟合可以准确的反演出气体的浓度，对TDLAS技术中浓度的反演具有实际的指导意义。

关键词: 可调谐半导体吸收光谱, Levenberg-Marquardt算法, 浓度反演, 线型拟合

Abstract:

Because of the advantages of high selectivity, high resolution and fast speed, the tunable diode laser absorption spectroscopy(TDLAS) technology is widely used in such aspects as environmental testing and industrial process testing. The Lorentz linetype fitting, the principle and implementation steps of Levenberg-Marquardt algorithm, and the realization researches of Lorentz linetype fitting of absorption lines based on Levenberg-Marquardt algorithm are investigated. After concentration inversion of six group different concentrations of CO2 standard gas, the correlation coefficient between inversion concentration and the actual concentration is 0.9928. The result shows that Lorentz linetype fitting can invert gas concentration accurately, which has practical guiding significance for concentration inversion in the TDLAS technology.

Key words: tunable diode laser absorption spectroscopy, Levenberg-Marquardt algorithm, concentration inversion, linetype fitting

中图分类号:

TP271

徐秀敏张玉钧何莹尤坤王立明周毅高彦伟刘建国. 基于MATLAB洛伦兹线型非线性拟合算法实现[J]. 大气与环境光学学报, 2015, 10(3): 246-251.

XU Xiu-Min, ZHANG Yu-Jun, HE Ying, YOU Kun, WANG Li-Meng, ZHOU Yi, GAO Yan-Wei, LIU Jian-Guo. The Algorithm Implementation of Lorentz Linetype Nonlinear Fitting Based on MATLAB[J]. Journal of Atmospheric and Environmental Optics, 2015, 10(3): 246-251.

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