Title | ||
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Convergence Results for the Gaussian Mixture Implementation of the Extended-Target PHD Filter and Its Extended Kalman Filtering Approximation. |
Abstract | ||
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The convergence of the Gaussian mixture extended-target probability hypothesis density (GMEPHD) filter and its extended Kalman (EK) filtering approximation in mildly nonlinear condition, namely, the EK-GM-EPHD filter, is studied here. This paper proves that both the GM-EPHD filter and the EK-GM-EPHD filter converge uniformly to the true EPHD filter. The significance of this paper is in theory to present the convergence results of the GM-EPHD and EK-GM-EPHD filters and the conditions under which the two filters satisfy uniform convergence. |
Year | DOI | Venue |
---|---|---|
2012 | 10.1155/2012/141727 | JOURNAL OF APPLIED MATHEMATICS |
Field | DocType | Volume |
Extended Kalman filter,Mathematical optimization,Alpha beta filter,Filtering problem,Adaptive filter,Invariant extended Kalman filter,Ensemble Kalman filter,Nonlinear filter,Mathematics,Filter design | Journal | 2012 |
Issue | ISSN | Citations |
null | 1110-757X | 0 |
PageRank | References | Authors |
0.34 | 11 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Feng Lian | 1 | 14 | 3.54 |
Chongzhao Han | 2 | 446 | 71.68 |
Jing Liu | 3 | 93 | 5.79 |
Hui Chen | 4 | 7 | 1.69 |