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

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Abstract

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 χ2 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. © 2008 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)471-477
JournalNuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
Volume600
Issue number2
DOIs
Publication statusPublished - 1 Mar 2009
Externally publishedYes

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