Forsling, Robin;
Julier, Simon J;
Hendeby, Gustaf;
(2025)
Matrix-Valued Measures and Wishart Statistics for Target Tracking Applications.
IEEE Transactions on Aerospace and Electronic Systems
pp. 1-12.
10.1109/taes.2025.3571685.
(In press).
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Abstract
Ensuring sufficiently accurate models is crucial in target tracking systems. If the assumed models deviate too much from the truth, the tracking performance might be severely degraded. While the models are usually defined using multivariate conditions, the measures used to validate them are most often scalar-valued. In this paper, we propose matrix-valued measures for both offline and online assessment of target tracking systems. Recent results from Wishart statistics, and approximations thereof, are adapted and it is shown how these can be incorporated to infer statistical properties for the eigenvalues of the proposed measures. In addition, we relate these results to the statistics of the baseline measures. Finally, the applicability of the proposed measures are demonstrated using two important problems in target tracking: (i) distributed track fusion design; and (ii) filter model mismatch detection.
| Type: | Article |
|---|---|
| Title: | Matrix-Valued Measures and Wishart Statistics for Target Tracking Applications |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1109/taes.2025.3571685 |
| Publisher version: | https://doi.org/10.1109/taes.2025.3571685 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher's terms and conditions. |
| Keywords: | Target tracking, data fusion, evaluation measures, model imperfections, model validation, Wishart statistics |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10209041 |
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