A wavelet-based Gaussian method for energy dispersive X-ray fluorescence spectrum. Issue 5 (May 2017)

• Record Type: Journal Article
• Authors: Liu, Pan; Deng, Xiaoyan; Tang, Xin; shen, Shijian
• Is Part Of: Heliyon. Volume 3:Issue 5(2017)
• Publication Date: 2017-05
• Subjects: Statistical physics -- Applied mathematics -- Analytical chemistry; Research -- Periodicals; Medical sciences -- Periodicals; Natural history -- Periodicals; Social sciences -- Periodicals; Earth sciences -- Periodicals; Physical sciences -- Periodicals; 507.2
• DOI: 10.1016/j.heliyon.2017.e00311
• Languages: English
• ISSNs: 2405-8440

Abstract

Abstract: 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.