The problem of channel dependence in foil-absorption X-ray spectroscopy

We analyze the interdependence among measurements of X-ray spectra in the energy range 4-60 keV by a multi-channel instrument. Two methods of estimating it are described. One gives the error magnification expected in spectrum deconvolution resulting from the covariance matrix of the products of filt...

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Autores principales: Rodriguez-Trelles, F., Caputo, M.C.
Formato: JOUR
Materias:
X-RAYS - Spectrum Analysis
COVARIANCE MATRIX
ERROR MAGNIFICATION
SPECTRUM DECONVOLUTION
SPECTROSCOPY, X-RAY
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_01689002_v242_n3_p577_RodriguezTrelles
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_01689002_v242_n3_p577_RodriguezTrelles2023-10-03T15:06:40Z The problem of channel dependence in foil-absorption X-ray spectroscopy Rodriguez-Trelles, F. Caputo, M.C. X-RAYS - Spectrum Analysis COVARIANCE MATRIX ERROR MAGNIFICATION SPECTRUM DECONVOLUTION SPECTROSCOPY, X-RAY We analyze the interdependence among measurements of X-ray spectra in the energy range 4-60 keV by a multi-channel instrument. Two methods of estimating it are described. One gives the error magnification expected in spectrum deconvolution resulting from the covariance matrix of the products of filter transmission times detector sensitivity, evaluated over the whole accessible range of photon energies. The other is an extension of the former evaluating the covariance matrices over consecutive energy bands. This extension allows one to analyze channel dependence for each band, thus improving the prospects of filter and detector selection in the design of an experiment. We present tables showing the expected behaviors of several combinations of filters (homogeneous, heterogeneous, doublets, Ross) and detectors (flat, film, diodes). The advantages of heterogeneous filters are emphasized. © 1986. Fil:Rodriguez-Trelles, F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Caputo, M.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_01689002_v242_n3_p577_RodriguezTrelles
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic X-RAYS - Spectrum Analysis
COVARIANCE MATRIX
ERROR MAGNIFICATION
SPECTRUM DECONVOLUTION
SPECTROSCOPY, X-RAY
spellingShingle X-RAYS - Spectrum Analysis
COVARIANCE MATRIX
ERROR MAGNIFICATION
SPECTRUM DECONVOLUTION
SPECTROSCOPY, X-RAY
Rodriguez-Trelles, F.
Caputo, M.C.
The problem of channel dependence in foil-absorption X-ray spectroscopy
topic_facet X-RAYS - Spectrum Analysis
COVARIANCE MATRIX
ERROR MAGNIFICATION
SPECTRUM DECONVOLUTION
SPECTROSCOPY, X-RAY
description We analyze the interdependence among measurements of X-ray spectra in the energy range 4-60 keV by a multi-channel instrument. Two methods of estimating it are described. One gives the error magnification expected in spectrum deconvolution resulting from the covariance matrix of the products of filter transmission times detector sensitivity, evaluated over the whole accessible range of photon energies. The other is an extension of the former evaluating the covariance matrices over consecutive energy bands. This extension allows one to analyze channel dependence for each band, thus improving the prospects of filter and detector selection in the design of an experiment. We present tables showing the expected behaviors of several combinations of filters (homogeneous, heterogeneous, doublets, Ross) and detectors (flat, film, diodes). The advantages of heterogeneous filters are emphasized. © 1986.
format JOUR
author Rodriguez-Trelles, F.
Caputo, M.C.
author_facet Rodriguez-Trelles, F.
Caputo, M.C.
author_sort Rodriguez-Trelles, F.
title The problem of channel dependence in foil-absorption X-ray spectroscopy
title_short The problem of channel dependence in foil-absorption X-ray spectroscopy
title_full The problem of channel dependence in foil-absorption X-ray spectroscopy
title_fullStr The problem of channel dependence in foil-absorption X-ray spectroscopy
title_full_unstemmed The problem of channel dependence in foil-absorption X-ray spectroscopy
title_sort problem of channel dependence in foil-absorption x-ray spectroscopy
url http://hdl.handle.net/20.500.12110/paper_01689002_v242_n3_p577_RodriguezTrelles
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AT caputomc theproblemofchanneldependenceinfoilabsorptionxrayspectroscopy
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AT caputomc problemofchanneldependenceinfoilabsorptionxrayspectroscopy
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