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Simultaneous spectrum fitting and baseline correction using sparse representation
Han, Quanjie1,2; Xie, Qiong1,2; Peng, Silong1,2; Guo, Baokui1,2
Source PublicationANALYST
AbstractSparse representation has been applied in many domains, such as signal processing, image processing and machine learning. In this paper, a redundant dictionary with each column composed of a Voigt-like lineshape is constructed to represent the pure spectrum of the sample. With the prior knowledge that the baseline is smooth and sparse representation coefficient for a pure spectrum, a method simultaneously fitting the pure spectrum and baseline is proposed. Since the pure spectrum is nonnegative, the representation coefficients are also made to be nonnegative. Then through alternating optimization, a surrogate function based algorithm is used to obtain the sparse coefficients. Finally, we adopt one simulated data set and two real data sets to evaluate our method. The results of quantitative analysis show that our method successfully estimates the baseline and pure spectrum and is superior compared to other baseline correction and preprocessing methods.
KeywordSparse Representation
WOS HeadingsScience & Technology ; Physical Sciences
Indexed BySCI
Funding OrganizationNational Natural Science Foundation of China(61571438 ; Beijing Natural Science Foundation(1152001) ; 61601104)
WOS Research AreaChemistry
WOS SubjectChemistry, Analytical
WOS IDWOS:000404274500020
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Cited Times:6[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.Chinese Acad Sci, Inst Automat, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Beijing, Peoples R China
First Author AffilicationInstitute of Automation, Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Han, Quanjie,Xie, Qiong,Peng, Silong,et al. Simultaneous spectrum fitting and baseline correction using sparse representation[J]. ANALYST,2017,142(13):2460-2468.
APA Han, Quanjie,Xie, Qiong,Peng, Silong,&Guo, Baokui.(2017).Simultaneous spectrum fitting and baseline correction using sparse representation.ANALYST,142(13),2460-2468.
MLA Han, Quanjie,et al."Simultaneous spectrum fitting and baseline correction using sparse representation".ANALYST 142.13(2017):2460-2468.
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