Derivation of the multi-model generalized labeled multi-Bernoulli filter: a solution to multi-target hybrid systems

Weihua WU , Yichao CAI , Hongbin JIN , Mao ZHENG , Xun FENG , Zewen GUAN

Front. Inform. Technol. Electron. Eng ›› 2021, Vol. 22 ›› Issue (1) : 79 -87.

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Front. Inform. Technol. Electron. Eng ›› 2021, Vol. 22 ›› Issue (1) : 79 -87. DOI: 10.1631/FITEE.2000105
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Derivation of the multi-model generalized labeled multi-Bernoulli filter: a solution to multi-target hybrid systems

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Abstract

In this study, we extend traditional (single-target) hybrid systems to multi-target hybrid systems with a focus on the multi-maneuvering-target tracking system. This system consists of a continuous state, a discrete and switchable state, and a discrete, time-constant, and unique state. By defining a new generalized labeled multi-Bernoulli density, we prove that it is closed under the Chapman-Kolmogorov prediction and Bayes update for multi-target hybrid systems. In other words, we provide the exact derivation of a solution to this system, i.e., the multi-model generalized labeled multi-Bernoulli filter, which has been developed without strict proof.

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Multi-maneuvering-target tracking / Multi-model / Generalized labeled multi-Bernoulli filter / Multi-target hybrid systems

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Weihua WU, Yichao CAI, Hongbin JIN, Mao ZHENG, Xun FENG, Zewen GUAN. Derivation of the multi-model generalized labeled multi-Bernoulli filter: a solution to multi-target hybrid systems. Front. Inform. Technol. Electron. Eng, 2021, 22(1): 79-87 DOI:10.1631/FITEE.2000105

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