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A background subtraction approach based on complex wavelet transforms in EDXRF
Author(s) -
Zhao Fengkui,
Wang Aimin
Publication year - 2014
Publication title -
x‐ray spectrometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.447
H-Index - 45
eISSN - 1097-4539
pISSN - 0049-8246
DOI - 10.1002/xrs.2576
Subject(s) - complex wavelet transform , wavelet , subtraction , energy (signal processing) , wavelet transform , spectral line , algorithm , background subtraction , invariant (physics) , computer science , discrete wavelet transform , harmonic wavelet transform , signal (programming language) , artificial intelligence , physics , mathematics , arithmetic , statistics , pixel , astronomy , mathematical physics , programming language
Subtracting the background accurately is one of the most important issues in energy‐dispersive X‐ray fluorescence (EDXRF) spectra processing. This paper presents a novel approach to perform background subtraction based on dual‐tree complex wavelet transform. Compared with real wavelet transform, the proposed method has some attractive properties, including a smooth, nonoscillating, and nearly shift‐invariant magnitude with a simple near‐linear phase encoding of signal shifts. Therefore, it outperforms real wavelet transform to decompose background into low‐frequency components. The effectiveness of the proposed approach is demonstrated via two simulated spectra with different kinds of backgrounds and one measured spectrum from an energy‐dispersive X‐ray spectrometer. Both simulated and experimental results prove that the proposed approach can subtract background in EDXRF spectra effectively. Copyright © 2014 John Wiley & Sons, Ltd.