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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.11189 |
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| _version_ | 1866915110452199424 |
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| author | Mahler, Ronald |
| author_facet | Mahler, Ronald |
| contents | This paper is a sequel of the 2019 paper [5]. It demonstrates the following: a) the Poisson multi-Bernoulli mixture (PMBM) approach to detected vs. undetected (U/D) targets cannot be rigorously formulated using either the two-step or single-step multitarget recursive Bayes filter (MRBF); b) it can, however, be partially salvaged using a novel single-step MRBF; c) probability hypothesis density (PHD) filters can be derived for both the original "S-U/D" approach in [5] and the novel "D-U/D" approach; d) important U/D formulas in [5] can be verified using purely algebraic methods rather than the intricate statistical analysis employed in that paper; and e) the claim, that PMBM filters can propagate detected and undetected targets separately in parallel, is doubtful. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11189 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Dynamical Behavior of Detected vs. Undetected Targets Mahler, Ronald Methodology Computation This paper is a sequel of the 2019 paper [5]. It demonstrates the following: a) the Poisson multi-Bernoulli mixture (PMBM) approach to detected vs. undetected (U/D) targets cannot be rigorously formulated using either the two-step or single-step multitarget recursive Bayes filter (MRBF); b) it can, however, be partially salvaged using a novel single-step MRBF; c) probability hypothesis density (PHD) filters can be derived for both the original "S-U/D" approach in [5] and the novel "D-U/D" approach; d) important U/D formulas in [5] can be verified using purely algebraic methods rather than the intricate statistical analysis employed in that paper; and e) the claim, that PMBM filters can propagate detected and undetected targets separately in parallel, is doubtful. |
| title | The Dynamical Behavior of Detected vs. Undetected Targets |
| topic | Methodology Computation |
| url | https://arxiv.org/abs/2501.11189 |