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Mathematische Modellierung und Datenanalyse

Fachbereich 8.4

Publikations Einzelansicht


Titel: Comparison of the Richardson-Lucy method and a classical approach for spectrometer bandpass correction
Autor(en): S. Eichstädt, F. Schmähling, G. Wübbeler, K. Anhalt, L. Bünger, U. Krüger and C. Elster
Journal: Metrologia
Jahr: 2013
Band: 50
Ausgabe: 2
Seite(n): 107-118
IOP Publishing
DOI: 10.1088/0026-1394/50/2/107
Datei / 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
Schlüsselwörter: dynamic measurement, bandwidth correction, spectral estimation, deconvolution
Marker: 8.42, Dynamik
Zusammenfassung: 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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