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This paper presents a novel framework for track fitting which is usable in a wide range of experiments, independent of the specific event topology, detector setup, or magnetic field arrangement. This goal is achieved through a completely…

High Energy Physics - Experiment · Physics 2014-11-20 C. Höppner , S. Neubert , B. Ketzer , S. Paul

We have developed a track fitting procedure based on Kalman Filter technique for an Iron Calorimeter (ICAL) prototype detector when the detector is flushed with single muon tracks. The relevant track parameters i.e., momentum, direction and…

Nuclear Experiment · Physics 2009-08-07 Tapasi Ghosh , Subhasis Chattopadhyay

Recent detector concepts at future linear or circular $e^- e^+$ colliders emphasize the benefits of time-of-flight measurements for particle identification of long-lived charged hadrons. That method relies on a precise estimation of the…

Instrumentation and Detectors · Physics 2021-09-16 Winfried A. Mitaroff

The Kalman Filter is a widely used approach for the linear estimation of dynamical systems and is frequently employed within nuclear and particle physics experiments for the reconstruction of charged particle trajectories, known as tracks.…

Instrumentation and Detectors · Physics 2025-03-04 Xiaocong Ai , Heather M. Gray , Andreas Salzburger , Nicholas Styles

We present a particle vertex fitting method designed for B factories. The presented method uses a Kalman Filter to solve a least squares estimate to globally fit decay chains, as opposed to traditional methods that fit each vertex at a…

A Kalman filter package has been developed for reconstructing muon ($\mu^\pm$) tracks (coming from the neutrino interactions) in ICAL detector. Here, we describe the algorithm of muon track fitting, with emphasis on the error propagation of…

Instrumentation and Detectors · Physics 2015-10-13 Kolahal Bhattacharya , Arnab K. Pal , Gobinda Majumder , Naba K. Mondal

A novel approach for vehicle tracking using a hybrid adaptive Kalman filter is proposed. The filter utilizes recurrent neural networks to learn the vehicle's geometrical and kinematic features, which are then used in a supervised learning…

Robotics · Computer Science 2023-04-05 Barak Or , Itzik Klein

In the pursuit of further advancement in the field of target tracking, this paper explores the efficacy of a feedforward neural network in predicting drones tracks, aiming to eventually, compare the tracks created by the well-known Kalman…

Computer Vision and Pattern Recognition · Computer Science 2023-06-13 Haya Ejjawi , Amal El Fallah Seghrouchni , Frederic Barbaresco , Raed Abu Zitar

Kalman filter is widely used for residual generation in fault detection. It leads to optimality in fault detection using some performance indices and also leads to statistically sound residual evaluation and threshold setting. This paper…

Systems and Control · Electrical Eng. & Systems 2023-12-14 Jinming Zhou , Yucai Zhu

We present an alternative implementation of the Kalman filter employed for track fitting within the LHCb experiment. It uses simple parametrizations for the extrapolation of particle trajectories in the field of the LHCb dipole magnet and…

Instrumentation and Detectors · Physics 2021-05-18 Pierre Billoir , Michel De Cian , Paul André Günther , Simon Stemmle

In the context of track fitting problems by a Kalman filter, the appropriate functional forms of the elements of the random process noise matrix are derived for tracking through thick layers of dense materials and magnetic field. This work…

Instrumentation and Detectors · Physics 2016-07-21 Kolahal Bhattacharya , Sudeshna Banerjee , Naba K Mondal

We present a method to perform a least squares fit of a decay chain involving multiple decay vertices. Our technique allows for the simultaneous extraction of decay time, position and momentum parameters and their uncertainties and…

Computational Physics · Physics 2009-11-11 W. D. Hulsbergen

We study causal waveform estimation (tracking) of time-varying signals in a paradigmatic atomic sensor, an alkali vapor monitored by Faraday rotation probing. We use Kalman filtering, which optimally tracks known linear Gaussian stochastic…

The use of Kalman filtering, as well as its nonlinear extensions, for the estimation of system variables and parameters has played a pivotal role in many fields of scientific inquiry where observations of the system are restricted to a…

Dynamical Systems · Mathematics 2017-02-15 Joseph Arthur , Adam Attarian , Franz Hamilton , Hien Tran

Tracker detectors can be used to identify charged particles based on their global chi value obtained during track fitting with the Kalman filter. This approach builds upon the knowledge of detector material and local position resolution,…

Instrumentation and Detectors · Physics 2014-11-20 Ferenc Sikler

Automatic lane tracking involves estimating the underlying signal from a sequence of noisy signal observations. Many models and methods have been proposed for lane tracking, and dynamic targets tracking in general. The Kalman Filter is a…

Computer Vision and Pattern Recognition · Computer Science 2017-06-29 Jiawei Huang , Zhaowen Wang

Traditional tracking-by-detection systems typically employ Kalman filters (KF) for state estimation. However, the KF requires domain-specific design choices and it is ill-suited to handling non-linear motion patterns. To address these…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Momir Adžemović , Predrag Tadić , Andrija Petrović , Mladen Nikolić

The High-Luminosity Large Hadron Collider at CERN will be characterized by greater pileup of events and higher occupancy, making the track reconstruction even more computationally demanding. Existing algorithms at the LHC are based on…

Track geometry monitoring is essential for maintaining the safety and efficiency of railway operations. While Track Recording Cars (TRCs) provide accurate measurements of track geometry indicators, their limited availability and high…

Systems and Control · Electrical Eng. & Systems 2026-05-29 Huy Truong-Ba , Jacky Chin , Michael E. Cholette , Pietro Borghesani

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…

Data Analysis, Statistics and Probability · Physics 2017-07-04 Mikael Frosini , Denis Bernard
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