A Kalman Filter for Track-based Alignment

An iterative method for track-based global alignment is proposed. It is derived from the Kalman filter and is designed to avoid the inversion of large matrices. The update formulas for the alignment parameters and for the associated covariance matrix are described. The implementation and the computa...

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Detalles Bibliográficos
Autores principales: Widl, Edmund, Frühwirth, R, Adam, Wolfgang
Lenguaje:eng
Publicado: 2006
Materias:
Detectors and Experimental Techniques
Acceso en línea:http://cds.cern.ch/record/927376
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author Widl, Edmund
Frühwirth, R
Adam, Wolfgang
author_facet Widl, Edmund
Frühwirth, R
Adam, Wolfgang
author_sort Widl, Edmund
collection CERN
description An iterative method for track-based global alignment is proposed. It is derived from the Kalman filter and is designed to avoid the inversion of large matrices. The update formulas for the alignment parameters and for the associated covariance matrix are described. The implementation and the computational complexity is discussed, and it is shown how to limit the latter to an acceptable level by restricting the update to detectors that are close in the sense of a certain metrics. The performance of the Kalman filter with respect to precision and speed of convergence is studied in a simplified setup. First results from an implementation in the CMS reconstruction program ORCA are presented, using two sections of the barrel part of the CMS Tracker.
id cern-927376
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2006
record_format invenio
spelling cern-9273762019-09-30T06:29:59Zhttp://cds.cern.ch/record/927376engWidl, EdmundFrühwirth, RAdam, WolfgangA Kalman Filter for Track-based AlignmentDetectors and Experimental TechniquesAn iterative method for track-based global alignment is proposed. It is derived from the Kalman filter and is designed to avoid the inversion of large matrices. The update formulas for the alignment parameters and for the associated covariance matrix are described. The implementation and the computational complexity is discussed, and it is shown how to limit the latter to an acceptable level by restricting the update to detectors that are close in the sense of a certain metrics. The performance of the Kalman filter with respect to precision and speed of convergence is studied in a simplified setup. First results from an implementation in the CMS reconstruction program ORCA are presented, using two sections of the barrel part of the CMS Tracker.CMS-NOTE-2006-022oai:cds.cern.ch:9273762006-01-30
spellingShingle Detectors and Experimental Techniques
Widl, Edmund
Frühwirth, R
Adam, Wolfgang
A Kalman Filter for Track-based Alignment
title A Kalman Filter for Track-based Alignment
title_full A Kalman Filter for Track-based Alignment
title_fullStr A Kalman Filter for Track-based Alignment
title_full_unstemmed A Kalman Filter for Track-based Alignment
title_short A Kalman Filter for Track-based Alignment
title_sort kalman filter for track-based alignment
topic Detectors and Experimental Techniques
url http://cds.cern.ch/record/927376
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AT adamwolfgang akalmanfilterfortrackbasedalignment
AT widledmund kalmanfilterfortrackbasedalignment
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AT adamwolfgang kalmanfilterfortrackbasedalignment

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