Generalized labeled multi-Bernoulli space-object tracking with joint prediction and update
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Space-object tracking systems require robust and accurate methods of multi-target state estimation and prediction. This paper presents the application of labeled multi-Bernoulli filters for space-object tracking, and leverages a joint prediction and update with Gibbs sampling to improve computational efficiency. Based on the use of labeled random finite sets, the d-Generalized Labeled Multi-Bernoulli Filter provides a closed-form solution to the Bayes recursion for a multi-target filter. A similar filter, the Labeled Multi-Bernoulli Filter, is a principled approximation to reduce computational complexity. Upon combining these filters with astrodynamics-based models for orbit state probability density function prediction and initial orbit determination, a 100-object simulation is used to demonstrate the ability of these tools to track space objects in near-geosynchronous orbit. Both filters converge on solutions with sub-500 meter accuracy and demonstrate similar performance as a function of detection probability, clutter, and the birth model employed. A robust comparison of the two filters requires further Monte Carlo-based tests to quantify variance in the solutions due to random inputs.
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Reuter, S.; Vo, Ba Tuong; Vo, Ba-Ngu; Dietmayer, K. (2014)In this paper, we propose the labeled multi-Bernoulli filter which explicitly estimates target tracks and provides a more accurate approximation of the multi-object Bayes update than the multi-Bernoulli filter. In particular, ...
Reuter, S.; Vo, Ba Tuong; Vo, Ba-Ngu; Dietmayer, K. (2014)This paper proposes a generalization of the multi- Bernoulli filter called the labeled multi-Bernoulli filter that outputs target tracks. Moreover, the labeled multi-Bernoulli filter does not exhibit a cardinality bias ...
Jones, B.; Bryant, D.; Vo, Ba-Ngu; Vo, Ba Tuong (2015)The tracking of space objects poses unique challenges when compared to traditional applications. Direct application of standard multi-target tracking models fails to yield accurate results for the case of space objects. ...