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Journal ArticleDOI

Application of Kalman filtering to track and vertex fitting

R. Frühwirth
- 15 Dec 1987 - 
- Vol. 262, pp 444-450
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TLDR
In this article, the proper theoretical framework for these procedures is the theory of linear filtering, in particular the Kalman filter, and the results from filtering theory are confirmed and extend the previous results.
Abstract
Recently iterative procedures have been proposed for track and vertex fitting in counter experiments. We show that the proper theoretical framework for these procedures is the theory of linear filtering, in particular the Kalman filter. Using results from filtering theory we confirm and extend the previous results. We also discuss the detection of outliers and of secondary vertices.

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Citations
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Journal ArticleDOI

The ALICE experiment at the CERN LHC

K. Aamodt, +1154 more
TL;DR: The Large Ion Collider Experiment (ALICE) as discussed by the authors is a general-purpose, heavy-ion detector at the CERN LHC which focuses on QCD, the strong-interaction sector of the Standard Model.
Journal ArticleDOI

The ALICE Collaboration

K. Aamodt, +992 more
- 01 Nov 2009 - 
TL;DR: In this paper, the production of mesons containing strange quarks (KS, φ) and both singly and doubly strange baryons (,, and − + +) are measured at mid-rapidity in pp collisions at √ s = 0.9 TeV with the ALICE experiment at the LHC.
Journal ArticleDOI

The Belle detector

TL;DR: The BELLE detector for experiments at KEKB, a high luminosity, energy asymmetric B-factory, is now being constructed at KEK, and an overview of the detector systems and their status is presented.
Journal ArticleDOI

LHCb detector performance

Roel Aaij, +703 more
TL;DR: In this paper, the performance of the various LHCb sub-detectors and the trigger system are described, using data taken from 2010 to 2012, and it is shown that the design criteria of the experiment have been met.
Journal ArticleDOI

LHCb Detector Performance

Roel Aaij, +703 more
TL;DR: In this article, the performance of the various LHCb sub-detectors and the trigger system are described, using data taken from 2010 to 2012, and it is shown that the design criteria of the experiment have been met.
References
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Book

Stochastic Processes and Filtering Theory

TL;DR: In this paper, a unified treatment of linear and nonlinear filtering theory for engineers is presented, with sufficient emphasis on applications to enable the reader to use the theory for engineering problems.
Book

Applied Optimal Estimation

Arthur Gelb
TL;DR: This is the first book on the optimal estimation that places its major emphasis on practical applications, treating the subject more from an engineering than a mathematical orientation, and the theory and practice of optimal estimation is presented.
Journal ArticleDOI

Series representations of distributions of quadratic forms in normal variables, i. central case,

TL;DR: In this article, the authors show how all three kinds of expansion can be derived in a similar way, and incidentally, to obtain convenient recurrence formulae for determining the coefficients in the Laguerre and Maclaurin expansions.
Book

Digital and Kalman filtering

S. M. Bozic
Journal ArticleDOI

Track fitting with multiple scattering: A new method

TL;DR: In this paper, the points measured on the track are included backwards, one by one, in the fitting algorithm, and the scattering is handled locally at each step; the algorithm is very flexible and allows fast programmation; moreover the computation time is merely proportional to the number of measured points, contrary to the other optimal estimators.
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