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

W.D. Hulsbergen

doi:10.1016/j.nima.2008.11.094

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

W.D. Hulsbergen

Research output: Contribution to Journal › Article › Academic › peer-review

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 language	English
Pages (from-to)	471-477
Journal	Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
Volume	600
Issue number	2
DOIs	https://doi.org/10.1016/j.nima.2008.11.094
Publication status	Published - 1 Mar 2009
Externally published	Yes

Access to Document

10.1016/j.nima.2008.11.094

Persistent URL (handle)

Persistent link

Cite this

@article{98d11ed9bc61419dbec97363f545f895,

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

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. {\textcopyright} 2008 Elsevier B.V. All rights reserved.",

author = "W.D. Hulsbergen",

year = "2009",

month = mar,

day = "1",

doi = "10.1016/j.nima.2008.11.094",

language = "English",

volume = "600",

pages = "471--477",

journal = "Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment",

issn = "0168-9002",

publisher = "Elsevier B.V.",

number = "2",

}

The global covariance matrix of tracks fitted with a Kalman filter and an application in detector alignment. / Hulsbergen, W.D.
In: Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 600, No. 2, 01.03.2009, p. 471-477.

Research output: Contribution to Journal › Article › Academic › peer-review

TY - JOUR

T1 - The global covariance matrix of tracks fitted with a Kalman filter and an application in detector alignment

AU - Hulsbergen, W.D.

PY - 2009/3/1

Y1 - 2009/3/1

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/59649090232

UR - https://www.scopus.com/pages/publications/59649090232#tab=citedBy

U2 - 10.1016/j.nima.2008.11.094

DO - 10.1016/j.nima.2008.11.094

M3 - Article

SN - 0168-9002

VL - 600

SP - 471

EP - 477

JO - Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

JF - Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

IS - 2

ER -

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

Abstract

Access to Document

Persistent URL (handle)

Other files and links

Fingerprint

Cite this