Variational Bayesian Inference for Multiple Extended Targets or Unresolved Group Targets Tracking

Fuente: arXiv
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Main Authors: Cheng, Yuanhao, Cao, Yunhe, Yeo, Tat-Soon, Zhang, Yulin, Fu, Jie
Format: Preprint
Published: 2024
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_version_ 1866915671736057856
author Cheng, Yuanhao
Cao, Yunhe
Yeo, Tat-Soon
Zhang, Yulin
Fu, Jie
author_facet Cheng, Yuanhao
Cao, Yunhe
Yeo, Tat-Soon
Zhang, Yulin
Fu, Jie
contents In this work, we propose a method for tracking multiple extended targets or unresolvable group targets in a clutter environment. Firstly, based on the Random Matrix Model (RMM), the joint state of the target is modeled as the Gamma Gaussian Inverse Wishart (GGIW) distribution. Considering the uncertainty of measurement origin caused by the clutters, we adopt the idea of probabilistic data association and describe the joint association event as an unknown parameter in the joint prior distribution. Then the Variational Bayesian Inference (VBI) is employed to approximately solve the non-analytical posterior distribution. Furthermore, to ensure the practicability of the proposed method, we further provide two potential lightweight schemes to reduce its computational complexity. One of them is based on clustering, which effectively prunes the joint association events. The other is a simplification of the variational posterior through marginal association probabilities. Finally, the effectiveness of the proposed method is demonstrated by simulation and real data experiments, and we show that the proposed method outperforms current state-of-the-art methods in terms of accuracy and adaptability.
format Preprint
id arxiv_https___arxiv_org_abs_2407_15226
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Variational Bayesian Inference for Multiple Extended Targets or Unresolved Group Targets Tracking
Cheng, Yuanhao
Cao, Yunhe
Yeo, Tat-Soon
Zhang, Yulin
Fu, Jie
Signal Processing
Systems and Control
In this work, we propose a method for tracking multiple extended targets or unresolvable group targets in a clutter environment. Firstly, based on the Random Matrix Model (RMM), the joint state of the target is modeled as the Gamma Gaussian Inverse Wishart (GGIW) distribution. Considering the uncertainty of measurement origin caused by the clutters, we adopt the idea of probabilistic data association and describe the joint association event as an unknown parameter in the joint prior distribution. Then the Variational Bayesian Inference (VBI) is employed to approximately solve the non-analytical posterior distribution. Furthermore, to ensure the practicability of the proposed method, we further provide two potential lightweight schemes to reduce its computational complexity. One of them is based on clustering, which effectively prunes the joint association events. The other is a simplification of the variational posterior through marginal association probabilities. Finally, the effectiveness of the proposed method is demonstrated by simulation and real data experiments, and we show that the proposed method outperforms current state-of-the-art methods in terms of accuracy and adaptability.
title Variational Bayesian Inference for Multiple Extended Targets or Unresolved Group Targets Tracking
topic Signal Processing
Systems and Control
url https://arxiv.org/abs/2407.15226