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 of 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 χ 2 algorithm for the alignment of tracking detectors. We also show that...

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Bibliographic Details
Published inNuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment Vol. 600; no. 2; pp. 471 - 477
Main Author Hulsbergen, W.D.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.03.2009
Subjects
Alignment of tracking detectors
Kalman filter
Alignment of tracking detectors
Kalman filter
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ISSN0168-9002
1872-9576
DOI10.1016/j.nima.2008.11.094

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Summary:We present an expression for the covariance matrix of 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 χ 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.
ISSN:0168-9002
1872-9576
DOI:10.1016/j.nima.2008.11.094