A wavelet-based Gaussian method for energy dispersive X-ray fluorescence spectrum
This paper presents a wavelet-based Gaussian method (WGM) for the peak intensity estimation of energy dispersive X-ray fluorescence (EDXRF). The relationship between the parameters of Gaussian curve and the wavelet coefficients of Gaussian peak point is firstly established based on the Mexican hat w...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2017-05-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844016326081 |
| _version_ | 1818512505226395648 |
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| author | Pan Liu Xiaoyan Deng Xin Tang Shijian shen |
| author_facet | Pan Liu Xiaoyan Deng Xin Tang Shijian shen |
| author_sort | Pan Liu |
| collection | DOAJ |
| description | This paper presents a wavelet-based Gaussian method (WGM) for the peak intensity estimation of energy dispersive X-ray fluorescence (EDXRF). The relationship between the parameters of Gaussian curve and the wavelet coefficients of Gaussian peak point is firstly established based on the Mexican hat wavelet. It is found that the Gaussian parameters can be accurately calculated by any two wavelet coefficients at the peak point which has to be known. This fact leads to a local Gaussian estimation method for spectral peaks, which estimates the Gaussian parameters based on the detail wavelet coefficients of Gaussian peak point. The proposed method is tested via simulated and measured spectra from an energy X-ray spectrometer, and compared with some existing methods. The results prove that the proposed method can directly estimate the peak intensity of EDXRF free from the background information, and also effectively distinguish overlap peaks in EDXRF spectrum. |
| first_indexed | 2024-12-10T23:47:48Z |
| format | Article |
| id | doaj.art-07ae86dfc7994ab6a249245315615799 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-12-10T23:47:48Z |
| publishDate | 2017-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-07ae86dfc7994ab6a2492453156157992022-12-22T01:28:53ZengElsevierHeliyon2405-84402017-05-0135e00311A wavelet-based Gaussian method for energy dispersive X-ray fluorescence spectrumPan Liu0Xiaoyan Deng1Xin Tang2Shijian shen3College of Science, Huazhong Agricultural University, Wuhan, 430070 ChinaCollege of Science, Huazhong Agricultural University, Wuhan, 430070 China; College of Engineering, Huazhong Agricultural University, Wuhan 430070, China; Corresponding author.College of Science, Huazhong Agricultural University, Wuhan, 430070 ChinaCollege of Science, Huazhong Agricultural University, Wuhan, 430070 ChinaThis paper presents a wavelet-based Gaussian method (WGM) for the peak intensity estimation of energy dispersive X-ray fluorescence (EDXRF). The relationship between the parameters of Gaussian curve and the wavelet coefficients of Gaussian peak point is firstly established based on the Mexican hat wavelet. It is found that the Gaussian parameters can be accurately calculated by any two wavelet coefficients at the peak point which has to be known. This fact leads to a local Gaussian estimation method for spectral peaks, which estimates the Gaussian parameters based on the detail wavelet coefficients of Gaussian peak point. The proposed method is tested via simulated and measured spectra from an energy X-ray spectrometer, and compared with some existing methods. The results prove that the proposed method can directly estimate the peak intensity of EDXRF free from the background information, and also effectively distinguish overlap peaks in EDXRF spectrum.http://www.sciencedirect.com/science/article/pii/S2405844016326081Statistical physicsApplied mathematicsAnalytical chemistry |
| spellingShingle | Pan Liu Xiaoyan Deng Xin Tang Shijian shen A wavelet-based Gaussian method for energy dispersive X-ray fluorescence spectrum Heliyon Statistical physics Applied mathematics Analytical chemistry |
| title | A wavelet-based Gaussian method for energy dispersive X-ray fluorescence spectrum |
| title_full | A wavelet-based Gaussian method for energy dispersive X-ray fluorescence spectrum |
| title_fullStr | A wavelet-based Gaussian method for energy dispersive X-ray fluorescence spectrum |
| title_full_unstemmed | A wavelet-based Gaussian method for energy dispersive X-ray fluorescence spectrum |
| title_short | A wavelet-based Gaussian method for energy dispersive X-ray fluorescence spectrum |
| title_sort | wavelet based gaussian method for energy dispersive x ray fluorescence spectrum |
| topic | Statistical physics Applied mathematics Analytical chemistry |
| url | http://www.sciencedirect.com/science/article/pii/S2405844016326081 |
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