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Numerical correction of spectrometric data using a rational filter
Author(s) -
Szczecinski Leszek,
Morawski Roman Z.,
Barwicz Andrzej
Publication year - 1998
Publication title -
journal of chemometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.47
H-Index - 92
eISSN - 1099-128X
pISSN - 0886-9383
DOI - 10.1002/(sici)1099-128x(199811/12)12:6<379::aid-cem521>3.0.co;2-q
Subject(s) - operator (biology) , spectrometer , moore–penrose pseudoinverse , calibration , computer science , algorithm , filter (signal processing) , chemistry , mathematics , optics , computer vision , physics , statistics , inverse , geometry , repressor , transcription factor , gene , biochemistry
Raw spectrometric data are subject to systematic errors of an instrumental type that may be reduced provided a mathematical model of the spectrometer used, or its pseudoinverse, i.e. an operator of reconstruction, is identified. The idea to identify this operator directly during calibration of the spectrometer is developed in this paper. The applicability of an operator of reconstruction having the form of a rational filter is studied when it is used for correction of the instrumental errors introduced by an absorption spectrometer. An algorithm for identification of this operator is proposed and studied using spectrometric‐type synthetic data and real‐world spectrometric data. The proposed operator is compared with some existing algorithms of spectrometric data correction, using accuracy‐related criteria, both non‐specific and specific to spectrometry. Copyright © 1998 John Wiley & Sons, Ltd.