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Mathematical Modelling and Data Analysis

Department 8.4

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Title: Comparison of the Richardson-Lucy method and a classical approach for spectrometer bandpass correction
Author(s): S. Eichstädt, F. Schmähling, G. Wübbeler, K. Anhalt, L. Bünger, U. Krüger and C. Elster
Journal: Metrologia
Year: 2013
Volume: 50
Issue: 2
Pages: 107-118
IOP Publishing
DOI: 10.1088/0026-1394/50/2/107
File URL: fileadmin/internet/fachabteilungen/abteilung_8/8.4_mathematische_modellierung/Publikationen_8.4/Eichstaedt_bandwidth_correction.pdf
Web URL: http://iopscience.iop.org/article/10.1088/0026-1394/50/2/107
Keywords: dynamic measurement, bandwidth correction, spectral estimation, deconvolution
Tags: 8.42, Dynamik
Abstract: Bandpass correction in spectrometer measurements using monochromators is often necessaryin order to obtain accurate measurement results. The classical approach of spectrometer bandpass correction is based on local polynomial approximations and the use of finite differences. Here we compare this approach with an extension of the Richardson–Lucy method, which is well known in image processing, but has not been applied to spectrum bandpass correction yet. Using an extensive simulation study and a practical example, we demonstrate the potential of the Richardson–Lucy method. In contrast to the classical approach, it is robust w.r.t. wavelength step size and measurement noise. In almost all cases the Richardson–Lucy method turns out to be superior to the classical approach both in terms of spectrum estimate and its associated uncertainties.

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