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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.14765 |
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| _version_ | 1866911066637729792 |
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| author | Banerjee, Debadrita Mitra, Debjani Dey, Rajesh Khan, Mudassir Kumar, Lalan |
| author_facet | Banerjee, Debadrita Mitra, Debjani Dey, Rajesh Khan, Mudassir Kumar, Lalan |
| contents | In this paper, we mainly focus on the problem of multi-target observability, focusing on the unique state estimation criteria for multiple targets. We derive the condition which is necessary as well as sufficient for observability using bearing angles with multiple higher-order dynamics observed by a single observer. We then establish an alternative notion of observability by analyzing ambiguous target trajectories and deriving the condition which is NECNDSUF (Nec. and Suff.) for multi-target observability, considering three types of measurements: Doppler-only, bearing-only, and combined Doppler and bearing measurements, which offers insights that can improve target distinguishability, trajectory reconstruction, and overall tracking accuracy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_14765 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multi Target Observability Banerjee, Debadrita Mitra, Debjani Dey, Rajesh Khan, Mudassir Kumar, Lalan Systems and Control In this paper, we mainly focus on the problem of multi-target observability, focusing on the unique state estimation criteria for multiple targets. We derive the condition which is necessary as well as sufficient for observability using bearing angles with multiple higher-order dynamics observed by a single observer. We then establish an alternative notion of observability by analyzing ambiguous target trajectories and deriving the condition which is NECNDSUF (Nec. and Suff.) for multi-target observability, considering three types of measurements: Doppler-only, bearing-only, and combined Doppler and bearing measurements, which offers insights that can improve target distinguishability, trajectory reconstruction, and overall tracking accuracy. |
| title | Multi Target Observability |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2507.14765 |