Denoising scheme based on singular-value decomposition for one-dimensional spectra and its application in precision storage-ring mass spectrometry

doi:10.1103/PhysRevE.99.063320

	Denoising scheme based on singular-value decomposition for one-dimensional spectra and its application in precision storage-ring mass spectrometry
	Zhang, Y. H.2; Wang, Q.1,2; Wang, M.2; Litvinov, Yu A.2,3,4; Chen, X. C.2
刊名	PHYSICAL REVIEW E
	2019-06-28
卷号	99 期号:6 页码:10
ISSN号	2470-0045
DOI	10.1103/PhysRevE.99.063320
通讯作者	Chen, X. C.(cxc@impcas.ac.cn)
英文摘要	This work concerns noise reduction for one-dimensional spectra in the case that the signal is corrupted by an additive white noise. The proposed method starts with mapping the noisy spectrum to a partial circulant matrix. In virtue of singular-value decomposition of the matrix, components belonging to the signal are determined by inspecting the total variations of left singular vectors. Afterwards, a smoothed spectrum is reconstructed from the low-rank approximation of the matrix consisting of the signal components only. The denoising effect of the proposed method is shown to be highly competitive among other existing nonparametric methods, including moving average, wavelet shrinkage, and total variation. Furthermore, its applicable scenarios in precision storage-ring mass spectrometry are demonstrated to be rather diverse and appealing.
资助项目	China Scholarship Council ; German Academic Exchange Service (Deutscher Akademischer Austauschdienst) under the Project Based Personnel Exchange Program[57389367] ; Key Research Program of Frontier Sciences of Chinese Academy of Sciences[QYZDJ-SSW-S] ; Key Research Program of Frontier Sciences of Chinese Academy of Sciences[XDPB09] ; Chinese National Key Program for Science and Technology RD[2016YFA0400504] ; Chinese National Key Program for Science and Technology RD[2018YFA0404400] ; Major State Basic Research Development Program of China[2013CB834401] ; CAS President's International Fellowship Initiative[2016VMA043] ; European Research Council (ERC) under the Horizon 2020 Research and Innovation Program[682841] ; ExtreMe Matter Institute (EMMI) at GSI
WOS关键词	NOISE-REDUCTION ; WAVELET SHRINKAGE ; EXOTIC NUCLEI ; SVD ; REGRESSION ; MATRIX ; ALGORITHM ; DETECTOR ; DECAY
WOS研究方向	Physics
语种	英语
出版者	AMER PHYSICAL SOC
WOS记录号	WOS:000473138100018
资助机构	China Scholarship Council ; German Academic Exchange Service (Deutscher Akademischer Austauschdienst) under the Project Based Personnel Exchange Program ; Key Research Program of Frontier Sciences of Chinese Academy of Sciences ; Chinese National Key Program for Science and Technology RD ; Major State Basic Research Development Program of China ; CAS President's International Fellowship Initiative ; European Research Council (ERC) under the Horizon 2020 Research and Innovation Program ; ExtreMe Matter Institute (EMMI) at GSI
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/133043]
专题	中国科学院近代物理研究所
通讯作者	Chen, X. C.
作者单位	1.Univ Chinese Acad Sci, Sch Nucl Sci & Technol, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Modem Phys, Lanzhou 730000, Gansu, Peoples R China 3.G51 Helmholtzzentrum Schwerionenforsch GmbH, D-64291 Darmstadt, Germany 4.Max Planck Inst Kernphys, D-69117 Heidelberg, Germany
推荐引用方式 GB/T 7714	Zhang, Y. H.,Wang, Q.,Wang, M.,et al. Denoising scheme based on singular-value decomposition for one-dimensional spectra and its application in precision storage-ring mass spectrometry[J]. PHYSICAL REVIEW E,2019,99(6):10.
APA	Zhang, Y. H.,Wang, Q.,Wang, M.,Litvinov, Yu A.,&Chen, X. C..(2019).Denoising scheme based on singular-value decomposition for one-dimensional spectra and its application in precision storage-ring mass spectrometry.PHYSICAL REVIEW E,99(6),10.
MLA	Zhang, Y. H.,et al."Denoising scheme based on singular-value decomposition for one-dimensional spectra and its application in precision storage-ring mass spectrometry".PHYSICAL REVIEW E 99.6(2019):10.