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:	Rodríguez Trelles, Félix Luis, Caputo, María Cristina
Publicado:	1986
Materias:	X-RAYS - Spectrum Analysis COVARIANCE MATRIX ERROR MAGNIFICATION SPECTRUM DECONVOLUTION SPECTROSCOPY, X-RAY
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01689002_v242_n3_p577_RodriguezTrelles http://hdl.handle.net/20.500.12110/paper_01689002_v242_n3_p577_RodriguezTrelles
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_01689002_v242_n3_p577_RodriguezTrelles
record_format	dspace
spelling	paper:paper_01689002_v242_n3_p577_RodriguezTrelles2023-06-08T15:17:59Z The problem of channel dependence in foil-absorption X-ray spectroscopy Rodríguez Trelles, Félix Luis Caputo, María Cristina 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. 1986 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01689002_v242_n3_p577_RodriguezTrelles 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 Rodríguez Trelles, Félix Luis Caputo, María Cristina 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.
author	Rodríguez Trelles, Félix Luis Caputo, María Cristina
author_facet	Rodríguez Trelles, Félix Luis Caputo, María Cristina
author_sort	Rodríguez Trelles, Félix Luis
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
publishDate	1986
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01689002_v242_n3_p577_RodriguezTrelles http://hdl.handle.net/20.500.12110/paper_01689002_v242_n3_p577_RodriguezTrelles
work_keys_str_mv	AT rodrigueztrellesfelixluis theproblemofchanneldependenceinfoilabsorptionxrayspectroscopy AT caputomariacristina theproblemofchanneldependenceinfoilabsorptionxrayspectroscopy AT rodrigueztrellesfelixluis problemofchanneldependenceinfoilabsorptionxrayspectroscopy AT caputomariacristina problemofchanneldependenceinfoilabsorptionxrayspectroscopy
_version_	1768542122860871680

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

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