Charged particle tracking without magnetic field: Optimal measurement of track momentum by a Bayesian analysis of the multiple measurements of deflections due to multiple scattering

Mikael Frosini; Denis Bernard

doi:10.1016/j.nima.2017.06.030

Charged particle tracking without magnetic field: Optimal measurement of track momentum by a Bayesian analysis of the multiple measurements of deflections due to multiple scattering

Mikael Frosini, Denis Bernard

Ip Paris

Research output: Contribution to journal › Article › peer-review

Abstract

We revisit the precision of the measurement of track parameters (position, angle) with optimal methods in the presence of detector resolution, multiple scattering and zero magnetic field. We then obtain an optimal estimator of the track momentum by a Bayesian analysis of the filtering innovations of a series of Kalman filters applied to the track. This work could pave the way to the development of autonomous high-performance gas time-projection chambers (TPC) or silicon wafer γ-ray space telescopes and be a powerful guide in the optimization of the design of the multi-kilo-ton liquid argon TPCs that are under development for neutrino studies.

Original language	English
Pages (from-to)	182-194
Number of pages	13
Journal	Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
Volume	867
DOIs	https://doi.org/10.1016/j.nima.2017.06.030
Publication status	Published - 21 Sept 2017

Keywords

Algebraic Riccati equation
Bayesian approach
Kalman filter
Multiple scattering
Noise covariance estimation
Track momentum measurement

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10.1016/j.nima.2017.06.030

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Frosini, M., & Bernard, D. (2017). Charged particle tracking without magnetic field: Optimal measurement of track momentum by a Bayesian analysis of the multiple measurements of deflections due to multiple scattering. Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 867, 182-194. https://doi.org/10.1016/j.nima.2017.06.030

Frosini, Mikael ; Bernard, Denis. / Charged particle tracking without magnetic field : Optimal measurement of track momentum by a Bayesian analysis of the multiple measurements of deflections due to multiple scattering. In: Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment. 2017 ; Vol. 867. pp. 182-194.

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title = "Charged particle tracking without magnetic field: Optimal measurement of track momentum by a Bayesian analysis of the multiple measurements of deflections due to multiple scattering",

abstract = "We revisit the precision of the measurement of track parameters (position, angle) with optimal methods in the presence of detector resolution, multiple scattering and zero magnetic field. We then obtain an optimal estimator of the track momentum by a Bayesian analysis of the filtering innovations of a series of Kalman filters applied to the track. This work could pave the way to the development of autonomous high-performance gas time-projection chambers (TPC) or silicon wafer γ-ray space telescopes and be a powerful guide in the optimization of the design of the multi-kilo-ton liquid argon TPCs that are under development for neutrino studies.",

keywords = "Algebraic Riccati equation, Bayesian approach, Kalman filter, Multiple scattering, Noise covariance estimation, Track momentum measurement",

author = "Mikael Frosini and Denis Bernard",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",

year = "2017",

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doi = "10.1016/j.nima.2017.06.030",

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Frosini, M & Bernard, D 2017, 'Charged particle tracking without magnetic field: Optimal measurement of track momentum by a Bayesian analysis of the multiple measurements of deflections due to multiple scattering', Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol. 867, pp. 182-194. https://doi.org/10.1016/j.nima.2017.06.030

Charged particle tracking without magnetic field: Optimal measurement of track momentum by a Bayesian analysis of the multiple measurements of deflections due to multiple scattering. / Frosini, Mikael; Bernard, Denis.
In: Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 867, 21.09.2017, p. 182-194.

Research output: Contribution to journal › Article › peer-review

TY - JOUR

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T2 - Optimal measurement of track momentum by a Bayesian analysis of the multiple measurements of deflections due to multiple scattering

AU - Frosini, Mikael

AU - Bernard, Denis

PY - 2017/9/21

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N2 - We revisit the precision of the measurement of track parameters (position, angle) with optimal methods in the presence of detector resolution, multiple scattering and zero magnetic field. We then obtain an optimal estimator of the track momentum by a Bayesian analysis of the filtering innovations of a series of Kalman filters applied to the track. This work could pave the way to the development of autonomous high-performance gas time-projection chambers (TPC) or silicon wafer γ-ray space telescopes and be a powerful guide in the optimization of the design of the multi-kilo-ton liquid argon TPCs that are under development for neutrino studies.

AB - We revisit the precision of the measurement of track parameters (position, angle) with optimal methods in the presence of detector resolution, multiple scattering and zero magnetic field. We then obtain an optimal estimator of the track momentum by a Bayesian analysis of the filtering innovations of a series of Kalman filters applied to the track. This work could pave the way to the development of autonomous high-performance gas time-projection chambers (TPC) or silicon wafer γ-ray space telescopes and be a powerful guide in the optimization of the design of the multi-kilo-ton liquid argon TPCs that are under development for neutrino studies.

KW - Algebraic Riccati equation

KW - Bayesian approach

KW - Kalman filter

KW - Multiple scattering

KW - Noise covariance estimation

KW - Track momentum measurement

U2 - 10.1016/j.nima.2017.06.030

DO - 10.1016/j.nima.2017.06.030

M3 - Article

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SN - 0168-9002

VL - 867

SP - 182

EP - 194

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

ER -

Frosini M, Bernard D. Charged particle tracking without magnetic field: Optimal measurement of track momentum by a Bayesian analysis of the multiple measurements of deflections due to multiple scattering. Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment. 2017 Sept 21;867:182-194. doi: 10.1016/j.nima.2017.06.030

Charged particle tracking without magnetic field: Optimal measurement of track momentum by a Bayesian analysis of the multiple measurements of deflections due to multiple scattering

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Keywords

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