A probability hypothesis density filter for tracking non‐rigid extended targets using spatiotemporal Gaussian process model

Abstract This paper proposes a random finite set (RFS)‐based algorithm to deal with the tracking problem of multiple non‐rigid extended targets (MNRET) with irregular shapes in the presence of clutter, false alarms and missed detection. The extensions of targets are modelled by spatiotemporal Gaussi...

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Main Authors: Sunyong Wu, Yusong Zhou, Yun Xie, Qiutiao Xue
Format: Article
Language:English
Published: Hindawi-IET 2022-12-01
Series:IET Signal Processing
Subjects:
Online Access:https://doi.org/10.1049/sil2.12158
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author Sunyong Wu
Yusong Zhou
Yun Xie
Qiutiao Xue
author_facet Sunyong Wu
Yusong Zhou
Yun Xie
Qiutiao Xue
author_sort Sunyong Wu
collection DOAJ
description Abstract This paper proposes a random finite set (RFS)‐based algorithm to deal with the tracking problem of multiple non‐rigid extended targets (MNRET) with irregular shapes in the presence of clutter, false alarms and missed detection. The extensions of targets are modelled by spatiotemporal Gaussian process, which is augmented with internal reference point (IRP) modelling the kinematics to construct the state of MNRET. The probability hypothesis density (PHD) filter is employed to propagate the first‐order moment of the RFS of MNRET. A suitable predicted likelihood of MNRET for the optimal partition is given, and the filter recursion is presented along with the necessary approximations and assumptions. More importantly, the closed‐form implementation and its corresponding smoothing filter are derived by converting the posterior density to Gaussian mixture form. Simulation results show the robustness and effectiveness of the proposed algorithm.
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spelling doaj.art-92859451ccac4ccda8ddaeed3e1088862023-12-03T04:16:24ZengHindawi-IETIET Signal Processing1751-96751751-96832022-12-011691130114310.1049/sil2.12158A probability hypothesis density filter for tracking non‐rigid extended targets using spatiotemporal Gaussian process modelSunyong Wu0Yusong Zhou1Yun Xie2Qiutiao Xue3School of Mathematics and Computing Science Guilin University of Electronic Technology Guilin ChinaSchool of Mathematics and Computing Science Guilin University of Electronic Technology Guilin ChinaSchool of Mathematics and Computing Science Guilin University of Electronic Technology Guilin ChinaSchool of Mathematics and Computing Science Guilin University of Electronic Technology Guilin ChinaAbstract This paper proposes a random finite set (RFS)‐based algorithm to deal with the tracking problem of multiple non‐rigid extended targets (MNRET) with irregular shapes in the presence of clutter, false alarms and missed detection. The extensions of targets are modelled by spatiotemporal Gaussian process, which is augmented with internal reference point (IRP) modelling the kinematics to construct the state of MNRET. The probability hypothesis density (PHD) filter is employed to propagate the first‐order moment of the RFS of MNRET. A suitable predicted likelihood of MNRET for the optimal partition is given, and the filter recursion is presented along with the necessary approximations and assumptions. More importantly, the closed‐form implementation and its corresponding smoothing filter are derived by converting the posterior density to Gaussian mixture form. Simulation results show the robustness and effectiveness of the proposed algorithm.https://doi.org/10.1049/sil2.12158Gaussian mixturenon‐rigid extended targetspredicted likelihoodprobability hypothesis densityrandom finite setSpatiotemporal Gaussian process
spellingShingle Sunyong Wu
Yusong Zhou
Yun Xie
Qiutiao Xue
A probability hypothesis density filter for tracking non‐rigid extended targets using spatiotemporal Gaussian process model
IET Signal Processing
Gaussian mixture
non‐rigid extended targets
predicted likelihood
probability hypothesis density
random finite set
Spatiotemporal Gaussian process
title A probability hypothesis density filter for tracking non‐rigid extended targets using spatiotemporal Gaussian process model
title_full A probability hypothesis density filter for tracking non‐rigid extended targets using spatiotemporal Gaussian process model
title_fullStr A probability hypothesis density filter for tracking non‐rigid extended targets using spatiotemporal Gaussian process model
title_full_unstemmed A probability hypothesis density filter for tracking non‐rigid extended targets using spatiotemporal Gaussian process model
title_short A probability hypothesis density filter for tracking non‐rigid extended targets using spatiotemporal Gaussian process model
title_sort probability hypothesis density filter for tracking non rigid extended targets using spatiotemporal gaussian process model
topic Gaussian mixture
non‐rigid extended targets
predicted likelihood
probability hypothesis density
random finite set
Spatiotemporal Gaussian process
url https://doi.org/10.1049/sil2.12158
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