Gaussian mixture PHD and CPHD filtering with partially uniform target birth
The standard Gaussian Mixture Probability Hypothesis Density (GMPHD) filter and Cardinalised Probability Hypothesis Density (GMCPHD) filter require the target birth model to take the form of a Gaussian mixture. Although any density (including a uniform density), can be approximated using a sum of Ga...
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Conference Paper |
| Published: |
IEEE
2012
|
| Online Access: | http://hdl.handle.net/20.500.11937/16543 |
| _version_ | 1848749206271950848 |
|---|---|
| author | Beard, Michael Vo, Ba Tuong Vo, Ba-Ngu Arulampalam, S. |
| author2 | Gee Wah NG |
| author_facet | Gee Wah NG Beard, Michael Vo, Ba Tuong Vo, Ba-Ngu Arulampalam, S. |
| author_sort | Beard, Michael |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The standard Gaussian Mixture Probability Hypothesis Density (GMPHD) filter and Cardinalised Probability Hypothesis Density (GMCPHD) filter require the target birth model to take the form of a Gaussian mixture. Although any density (including a uniform density), can be approximated using a sum of Gaussians, this can be inefficient in practice, especially when a large number of Gaussians is required to achieve the desired accuracy. A better alternative in the case of an uninformative birth model would be to directly use a uniform density instead of a Gaussian mixture approximation. In this paper we present new forms of the GMPHD and GMCPHD filtering equations, which allow part of the target birth model to take on a uniform distribution, thus obviating the need to use large Gaussian mixtures to approximate a uniform birth density. |
| first_indexed | 2025-11-14T07:17:15Z |
| format | Conference Paper |
| id | curtin-20.500.11937-16543 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:17:15Z |
| publishDate | 2012 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-165432017-05-30T08:11:14Z Gaussian mixture PHD and CPHD filtering with partially uniform target birth Beard, Michael Vo, Ba Tuong Vo, Ba-Ngu Arulampalam, S. Gee Wah NG The standard Gaussian Mixture Probability Hypothesis Density (GMPHD) filter and Cardinalised Probability Hypothesis Density (GMCPHD) filter require the target birth model to take the form of a Gaussian mixture. Although any density (including a uniform density), can be approximated using a sum of Gaussians, this can be inefficient in practice, especially when a large number of Gaussians is required to achieve the desired accuracy. A better alternative in the case of an uninformative birth model would be to directly use a uniform density instead of a Gaussian mixture approximation. In this paper we present new forms of the GMPHD and GMCPHD filtering equations, which allow part of the target birth model to take on a uniform distribution, thus obviating the need to use large Gaussian mixtures to approximate a uniform birth density. 2012 Conference Paper http://hdl.handle.net/20.500.11937/16543 IEEE restricted |
| spellingShingle | Beard, Michael Vo, Ba Tuong Vo, Ba-Ngu Arulampalam, S. Gaussian mixture PHD and CPHD filtering with partially uniform target birth |
| title | Gaussian mixture PHD and CPHD filtering with partially uniform target birth |
| title_full | Gaussian mixture PHD and CPHD filtering with partially uniform target birth |
| title_fullStr | Gaussian mixture PHD and CPHD filtering with partially uniform target birth |
| title_full_unstemmed | Gaussian mixture PHD and CPHD filtering with partially uniform target birth |
| title_short | Gaussian mixture PHD and CPHD filtering with partially uniform target birth |
| title_sort | gaussian mixture phd and cphd filtering with partially uniform target birth |
| url | http://hdl.handle.net/20.500.11937/16543 |