光谱学与光谱分析 |
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Decomposition of X-Ray Fluorescence Overlapping Peaks Based on Statistical and Genetic Algorithms |
HUANG Hong-quan, DING Wei-cheng*, GONG Di-chen, FANG Fang |
Chengdu University of Technology, Chengdu 610059, China |
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Abstract In fluorescence analysis, the phenomenon of overlapping often occurs among adjacent peaks. In the view of the random physical properties of formation process of X fluorescence spectra, Gaussian Mixture Statistics Model (GMSM) and Genetic Algorithms were used for the decomposition of overlapping peaks. First, the GMSM was proposed to describe the overlapping peaks, and the local convergence problem of expectation maximization (EM) was analyzed. Secondly, the GMSM parameters were regarded as individual genes, and the log-likelihood function of overlapping peaks random data was set as fitness function. A fast algorithm for the objective function value was proposed. Finally, the population search technology of Genetic Algorithm was used to find the global optimal solution, and to realize the decomposition of overlapping peaks. All measured data were regarded as “useful” data. The “useful” degree was reflected by their probability. The GMSM method can achieve the “best match” effect in the maximum global probability with zero loss of original data, which can fit the random of radiation measurement process. The decomposition experiments of four serious overlapping peaks show high precision of the peak position, peak area and standard deviation. The maximum error was 0.7 channel, 2.3% and 2.17%, respectively, which is especially suitable for the condition of serious overlap and can be widely used for the decomposition of other energy spectrum.
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Received: 2014-07-30
Accepted: 2014-11-05
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Corresponding Authors:
DING Wei-cheng
E-mail: dingweicheng@cdut.cn
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[1] HUANG Hong-quan, HE Zi-shu, FANG Fang, et al(黄洪全,何子述,方 方,等). Atomic Energy Science and Technology(原子能科学技术), 2010, 44(9): 1114. [2] HU Yao-gai, ZHANG Xiao-xing, ZHAO Zheng-yu, et al(胡耀垓,张晓星,赵正予,等). Journal of Chongqing University(重庆大学学报), 2012, 35(5): 76. [3] WANG Yi, LI Qin, JIANG Xiao-guo(王 毅,李 勤,江孝国). Chinese Physics C(中国物理 C), 2012, 36(9): 861. [4] ZENG Guo-qiang, LUO Yao-yao, GE Liang-quan, et al(曾国强,罗耀耀,葛良全,等). Spectroscopy and Spectral Analysis(光谱学与光谱分析), 2014, 34(2): 562. [5] Li F, Gardner R P. Appl. Radiat Isotopes, 2012, 70(7): 1243. [6] LIN Lin, WANG Shu-xun, WEI Xiao-li(林 琳,王树勋,魏小丽). Journal of Jilin University·Engineering and Technology Edition(吉林大学学报·工学版), 2006, 36(6), 967. [7] Qiu Jingke, Deng Biao, Yang Qun, et al. Nuclear Instruments and Methods in Physics Research B, 2011, 269(22): 2662. [8] Fu Chen, Wang Nanping. Nuclear Science and Techniques, 2010, 21(4), 214. [9] Angeyo K H, Gari S, Mustapha A O, et al. Applied Radiation and Isotopes, 2012, 70(11): 2596. [10] Sabriye Seven. Radiation Physics and Chemistry, 2012, 81(5): 489. |
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