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光谱重叠峰的曲线拟合解析策略与实现
引用本文:胡耀垓,张晓星,赵正予,冯波.光谱重叠峰的曲线拟合解析策略与实现[J].重庆大学学报(自然科学版),2012,35(5):76-82.
作者姓名:胡耀垓  张晓星  赵正予  冯波
作者单位:武汉大学 电子信息学院,湖北 武汉 430079;重庆大学 高电压与电工新技术教育部重点实验室, 重庆 400044;武汉大学 电子信息学院,湖北 武汉 430079;重庆大学 高电压与电工新技术教育部重点实验室, 重庆 400044
基金项目:国家自然科学基金资助项目(60701020);中央高校基本科研业务费专项资金资助项目(3103001);输配电装备及系统安全与新技术国家重点实验室研究项目(2007DA10512708406)
摘    要:针对光谱分析中的重叠峰问题,提出了一种基于曲线拟合的光谱重叠峰解析算法,讨论了曲线拟合的参数调整和表达非唯一性等问题,提出了最小峰 峰间距(MRI)、可分离最小峰 峰间距(MSI)和拟合误差曲线的三个特征区间等概念;在峰位的确定中,引入由宽逐严的排除策略。含噪模拟光谱重叠峰解析结果表明,所提出的算法是有效的。

关 键 词:光谱重叠峰  曲线拟合  重叠峰解析  高斯分布

Strategy and implementation of resolve overlapping spectra based on curve fitting
HU Yao gai,ZHANG Xiao xing,ZHAO Zheng yu and FENG Bo.Strategy and implementation of resolve overlapping spectra based on curve fitting[J].Journal of Chongqing University(Natural Science Edition),2012,35(5):76-82.
Authors:HU Yao gai  ZHANG Xiao xing  ZHAO Zheng yu and FENG Bo
Institution:College of Electronic Information, Wuhan University, Wuhan 430079, P.R.China;Key Laboratory of High Voltage and Electrical New Technology, Ministry of Education, Chongqing University, Chongqing 400044, P.R.China;College of Electronic Information, Wuhan University, Wuhan 430079, P.R.China;Key Laboratory of High Voltage and Electrical New Technology, Ministry of Education, Chongqing University, Chongqing 400044, P.R.China
Abstract:Aming at the overlapping peaks in spectrum analysis, a novel method of curve fitting based on Gaussian function is presented to resolve the overlapping peaks. The theory of curve fitting is introduced firstly, and then an algorithm is proposed based on both the minimum separable peak peak interval and the curve fitting error. In the peak positioning, a gradually strict strategy is introduced to exclude the fake peaks. The resolution of several kinds of overlapping peaks with computer simulated noise has been performed and discussed in details. The calculated results indicate that the peak positions can be extracted effectively, even in the case of serious overlapped, and clearly show the effectiveness of the proposed method.
Keywords:overlapping peaks  curve fitting  resolving  Gaussian distribution
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