Convergence Analysis for the SMC-MeMBer and SMC-CBMeMBer Filters
The convergence for the sequential Monte Carlo (SMC) implementations of the multitarget multi-Bernoulli (MeMBer) filter and cardinality-balanced MeMBer (CBMeMBer) filters is studied here. This paper proves that the SMC-MeMBer and SMC-CBMeMBer filters, respectively, converge to the true MeMBer and CB...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/584140 |
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| _version_ | 1849691919780675584 |
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| author | Feng Lian Chen Li Chongzhao Han Hui Chen |
| author_facet | Feng Lian Chen Li Chongzhao Han Hui Chen |
| author_sort | Feng Lian |
| collection | DOAJ |
| description | The convergence for the sequential Monte Carlo (SMC) implementations of the multitarget multi-Bernoulli (MeMBer) filter and cardinality-balanced MeMBer (CBMeMBer) filters is studied here. This paper proves that the SMC-MeMBer and SMC-CBMeMBer filters, respectively, converge to the true MeMBer and CBMeMBer filters in the mean-square sense and the corresponding bounds for the mean-square errors are given. The significance of this paper is in theory to present the convergence results of the SMC-MeMBer and SMC-CBMeMBer filters and the conditions under which the two filters satisfy mean-square convergence. |
| format | Article |
| id | doaj-art-b42f1ef3fd8b4bcebe133b78a85c845f |
| institution | DOAJ |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b42f1ef3fd8b4bcebe133b78a85c845f2025-08-20T03:20:52ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/584140584140Convergence Analysis for the SMC-MeMBer and SMC-CBMeMBer FiltersFeng Lian0Chen Li1Chongzhao Han2Hui Chen3Ministry of Education Key Laboratory for Intelligent Networks and Network Security (MOE KLINNS), School of Electronics and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, ChinaSoftware Engineering School, Xi'an Jiaotong University, Xi’an 710049, ChinaMinistry of Education Key Laboratory for Intelligent Networks and Network Security (MOE KLINNS), School of Electronics and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, ChinaMinistry of Education Key Laboratory for Intelligent Networks and Network Security (MOE KLINNS), School of Electronics and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, ChinaThe convergence for the sequential Monte Carlo (SMC) implementations of the multitarget multi-Bernoulli (MeMBer) filter and cardinality-balanced MeMBer (CBMeMBer) filters is studied here. This paper proves that the SMC-MeMBer and SMC-CBMeMBer filters, respectively, converge to the true MeMBer and CBMeMBer filters in the mean-square sense and the corresponding bounds for the mean-square errors are given. The significance of this paper is in theory to present the convergence results of the SMC-MeMBer and SMC-CBMeMBer filters and the conditions under which the two filters satisfy mean-square convergence.http://dx.doi.org/10.1155/2012/584140 |
| spellingShingle | Feng Lian Chen Li Chongzhao Han Hui Chen Convergence Analysis for the SMC-MeMBer and SMC-CBMeMBer Filters Journal of Applied Mathematics |
| title | Convergence Analysis for the SMC-MeMBer and SMC-CBMeMBer Filters |
| title_full | Convergence Analysis for the SMC-MeMBer and SMC-CBMeMBer Filters |
| title_fullStr | Convergence Analysis for the SMC-MeMBer and SMC-CBMeMBer Filters |
| title_full_unstemmed | Convergence Analysis for the SMC-MeMBer and SMC-CBMeMBer Filters |
| title_short | Convergence Analysis for the SMC-MeMBer and SMC-CBMeMBer Filters |
| title_sort | convergence analysis for the smc member and smc cbmember filters |
| url | http://dx.doi.org/10.1155/2012/584140 |
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