Cauchy-filter-based algorithms for reconstruction of absorption spectra

The computer-based interpretation of spectrometric data {y/sub n//sup Tr/} is aimed at identification of the main components of an analyte. The first step of interpretation consists in estimation of its spectrum using an operator of (generalized) deconvolution {x/spl circ//sub n//sup Tr/}=R[{y/sub n...

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Bibliographic Details
Main Authors: Sprzeczak, P., Morawski, R.Z.
Format: Conference Proceeding
Language:English
Subjects:
Calibration
Data analysis
Data processing
Deconvolution
Electromagnetic wave absorption
Information technology
Nonlinear optics
Optical filters
Parameter estimation
Spectroscopy
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Summary:The computer-based interpretation of spectrometric data {y/sub n//sup Tr/} is aimed at identification of the main components of an analyte. The first step of interpretation consists in estimation of its spectrum using an operator of (generalized) deconvolution {x/spl circ//sub n//sup Tr/}=R[{y/sub n//sup /spl sim/Tr/}, p/sub R/], where p/sub R/ is a vector of parameters to be estimated during calibration of the spectrometer. A new structure of this operator based on a nonlinear transformation of the Cauchy filter, is proposed and studied in this paper using both synthetic and real-world spectrophotometric data. Its superiority over existing algorithms for spectrum reconstruction is demonstrated both with respect to accuracy of spectrum reconstruction and numerical complexity.
ISSN:1091-5281
DOI:10.1109/IMTC.2000.848884