Explicit filtering equations for labelled random finite sets
We decompose a probability density function (PDF) of a labelled random finite set (RFS) into a probability mass function over a set of labels and a PDF on a vector-valued multitarget state given the labels. Using this decomposition, we write the Bayesian filtering recursion for labelled RFSs in an e...
| Main Authors: | , |
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| Format: | Conference Paper |
| Published: |
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/4474 |
| _version_ | 1848744525936197632 |
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| author | Garcia Fernandez, Angel Morelande, M. |
| author_facet | Garcia Fernandez, Angel Morelande, M. |
| author_sort | Garcia Fernandez, Angel |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We decompose a probability density function (PDF) of a labelled random finite set (RFS) into a probability mass function over a set of labels and a PDF on a vector-valued multitarget state given the labels. Using this decomposition, we write the Bayesian filtering recursion for labelled RFSs in an explicit form. The resulting formulas are of conceptual and practical interest in the RFS approach to multiple target tracking, especially, for track-before-detect particle filter implementations. |
| first_indexed | 2025-11-14T06:02:51Z |
| format | Conference Paper |
| id | curtin-20.500.11937-4474 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:02:51Z |
| publishDate | 2015 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-44742017-09-13T14:44:01Z Explicit filtering equations for labelled random finite sets Garcia Fernandez, Angel Morelande, M. We decompose a probability density function (PDF) of a labelled random finite set (RFS) into a probability mass function over a set of labels and a PDF on a vector-valued multitarget state given the labels. Using this decomposition, we write the Bayesian filtering recursion for labelled RFSs in an explicit form. The resulting formulas are of conceptual and practical interest in the RFS approach to multiple target tracking, especially, for track-before-detect particle filter implementations. 2015 Conference Paper http://hdl.handle.net/20.500.11937/4474 10.1109/ICCAIS.2015.7338691 restricted |
| spellingShingle | Garcia Fernandez, Angel Morelande, M. Explicit filtering equations for labelled random finite sets |
| title | Explicit filtering equations for labelled random finite sets |
| title_full | Explicit filtering equations for labelled random finite sets |
| title_fullStr | Explicit filtering equations for labelled random finite sets |
| title_full_unstemmed | Explicit filtering equations for labelled random finite sets |
| title_short | Explicit filtering equations for labelled random finite sets |
| title_sort | explicit filtering equations for labelled random finite sets |
| url | http://hdl.handle.net/20.500.11937/4474 |