The global covariance matrix of tracks fitted with a Kalman filter and an application in detector alignment

We present an expression for the covariance matrix for the set of state vectors describing a track fitted with a Kalman filter. We demonstrate that this expression facilitates the use of a Kalman filter track model in a minimum \(\chi^2\) algorithm for the alignment of tracking detectors. We also sh...

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Bibliographic Details
Published inarXiv.org
Main Author Hulsbergen, Wouter
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 18.11.2008
Subjects
Algorithms
Alignment
Covariance matrix
Kalman filters
Mathematical analysis
Matrix algebra
Matrix methods
Physics - Instrumentation and Detectors
Refitting
State vectors
Tracking
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ISSN2331-8422
DOI10.48550/arxiv.0810.2241

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Summary:We present an expression for the covariance matrix for the set of state vectors describing a track fitted with a Kalman filter. We demonstrate that this expression facilitates the use of a Kalman filter track model in a minimum \(\chi^2\) algorithm for the alignment of tracking detectors. We also show that it allows to incorporate vertex constraints in such a procedure without refitting the tracks.
Bibliography:SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
content type line 50
ISSN:2331-8422
DOI:10.48550/arxiv.0810.2241