Gaussian‐like measurement likelihood based particle filter for extended target tracking

Abstract Extended target tracking based on the star‐convex model is a multi‐dimensional nonlinear estimation problem. To approximate the shape of an extended target, the star‐convex model requires a higher‐order Fourier series expansion, which will increase the dimensionality of the extended state,...

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Main Authors: Yiduo Liu, Hongbing Ji, Yongquan Zhang
Format: Article
Language:English
Published: Wiley 2023-04-01
Series:IET Radar, Sonar & Navigation
Subjects:
Online Access:https://doi.org/10.1049/rsn2.12362
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author Yiduo Liu
Hongbing Ji
Yongquan Zhang
author_facet Yiduo Liu
Hongbing Ji
Yongquan Zhang
author_sort Yiduo Liu
collection DOAJ
description Abstract Extended target tracking based on the star‐convex model is a multi‐dimensional nonlinear estimation problem. To approximate the shape of an extended target, the star‐convex model requires a higher‐order Fourier series expansion, which will increase the dimensionality of the extended state, so that the nonlinear filters under Gaussian assumptions cannot converge to the optimal state estimation. In this paper, a novel particle filter algorithm based on Gaussian‐like measurement likelihood (GL) is proposed. As latent variables with high uncertainty in the measurement model, the scattering centres are modelled as a Gaussian‐like probability distribution characterising the target's shape. Then the measurement noise is integrated into the Gaussian‐like probability distribution via Gaussian quadrature to obtain the accurate measurement likelihood. Moreover, particle swarm optimization is employed to reduce computational complexity. It enables particles to move into the vicinity of measurements, thereby increasing the diversity of the particles belonging to the target's shape. The simulation results show that the GL can improve the accuracy of shape estimation under high measurement noise and low measurement rates. Furthermore, the proposed particle filter can track the extended target effectively with an aeroplane‐like shape.
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spelling doaj.art-c39911dcff2b44e19bad6a22716397642023-04-14T03:27:01ZengWileyIET Radar, Sonar & Navigation1751-87841751-87922023-04-0117457959310.1049/rsn2.12362Gaussian‐like measurement likelihood based particle filter for extended target trackingYiduo Liu0Hongbing Ji1Yongquan Zhang2School of Electrical Engineering and Information Technology Xihua University Chengdu ChinaSchool of Electronic Engineering Xidian University Xi'an ChinaSchool of Electronic Engineering Xidian University Xi'an ChinaAbstract Extended target tracking based on the star‐convex model is a multi‐dimensional nonlinear estimation problem. To approximate the shape of an extended target, the star‐convex model requires a higher‐order Fourier series expansion, which will increase the dimensionality of the extended state, so that the nonlinear filters under Gaussian assumptions cannot converge to the optimal state estimation. In this paper, a novel particle filter algorithm based on Gaussian‐like measurement likelihood (GL) is proposed. As latent variables with high uncertainty in the measurement model, the scattering centres are modelled as a Gaussian‐like probability distribution characterising the target's shape. Then the measurement noise is integrated into the Gaussian‐like probability distribution via Gaussian quadrature to obtain the accurate measurement likelihood. Moreover, particle swarm optimization is employed to reduce computational complexity. It enables particles to move into the vicinity of measurements, thereby increasing the diversity of the particles belonging to the target's shape. The simulation results show that the GL can improve the accuracy of shape estimation under high measurement noise and low measurement rates. Furthermore, the proposed particle filter can track the extended target effectively with an aeroplane‐like shape.https://doi.org/10.1049/rsn2.12362nonlinear estimationparticle filterparticle swarm optimizationtarget tracking
spellingShingle Yiduo Liu
Hongbing Ji
Yongquan Zhang
Gaussian‐like measurement likelihood based particle filter for extended target tracking
IET Radar, Sonar & Navigation
nonlinear estimation
particle filter
particle swarm optimization
target tracking
title Gaussian‐like measurement likelihood based particle filter for extended target tracking
title_full Gaussian‐like measurement likelihood based particle filter for extended target tracking
title_fullStr Gaussian‐like measurement likelihood based particle filter for extended target tracking
title_full_unstemmed Gaussian‐like measurement likelihood based particle filter for extended target tracking
title_short Gaussian‐like measurement likelihood based particle filter for extended target tracking
title_sort gaussian like measurement likelihood based particle filter for extended target tracking
topic nonlinear estimation
particle filter
particle swarm optimization
target tracking
url https://doi.org/10.1049/rsn2.12362
work_keys_str_mv AT yiduoliu gaussianlikemeasurementlikelihoodbasedparticlefilterforextendedtargettracking
AT hongbingji gaussianlikemeasurementlikelihoodbasedparticlefilterforextendedtargettracking
AT yongquanzhang gaussianlikemeasurementlikelihoodbasedparticlefilterforextendedtargettracking