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Bayesian Sequential Track Formation

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Open access
Authors
Garcia Fernandez, Angel
Morelande, M.
Grajal, J.
Date
2014
Type
Journal Article

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Garcia Fernandez, A. and Morelande, M. and Grajal, J. 2014. Bayesian Sequential Track Formation. IEEE Transactions on Signal Processing. 62 (24): pp. 6366-6379.
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IEEE Transactions on Signal Processing
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Department of Electrical and Computer Engineering
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Abstract

This paper presents a theoretical framework for track building in multiple-target scenarios from the Bayesian point of view. It is assumed that the number of targets is fixed and known. We propose two optimal methods for building tracks sequentially. The first one uses the labelling of the current multitarget state estimate that minimizes the mean-square labeled optimal subpatternassignment error. This method requires knowledge of the posterior density of the vector-valued state. The second assigns the labeling that maximizes the probability that the current multi-targetstate estimate is optimally linked with the available tracks at the previous time step. In this case, we only require knowledge of the random finite-set posterior density without labels.