Geodesic
A linear multisensor PHD filters via the measurement product space
Liu, Weifeng1 ; Chen, Yimei2 ; Wen, Chenglin2 ; Cui, Hailong2
1 School of Automation, Hangzhou Dianzi University, Xiasha Higher Education Zone, 310018 Hangzhou, P. R. China;Science and Technology on Electro-optic Control Laboratory, Luoyang 471000, P. R. China
2 School of Automation, Hangzhou Dianzi University, Xiasha Higher Education Zone, 310018 Hangzhou, P. R. China
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 5, p. 2408-2422.

Voir la notice de l'article provenant de la source International Scientific Research Publications

The probability hypothesis density (PHD) is the first moment of RFS. Its integral over any region gives the expectation number of targets in that region. In the finite set statistics (FISST) framework, the PHD recursion, or PHD filter, approximate the multi-target Bayes recursion. This paper deals with the multisensor PHD filter under a linear correlation condition through multisensor product space and the measurement dimension extension (MDE) approach, which remains the similar appearance like the conventional PHD filters except the product space and some parameters in the filters. However, in the product space the dimension extended measurements may greatly increase the computational load. Therefore, we propose a fast algorithm for the linear multisensor PHD (LM-PHD) filters to increase the running speed and with cost of slightly sacrificing the tracking performance.
DOI : 10.22436/jnsa.010.05.12
Classification : 93E10
Keywords: Linear correlation, random finite set, PHD filter, dimension extension of measurements, product space.

Liu, Weifeng 1 ; Chen, Yimei 2 ; Wen, Chenglin 2 ; Cui, Hailong 2

1 School of Automation, Hangzhou Dianzi University, Xiasha Higher Education Zone, 310018 Hangzhou, P. R. China;Science and Technology on Electro-optic Control Laboratory, Luoyang 471000, P. R. China
2 School of Automation, Hangzhou Dianzi University, Xiasha Higher Education Zone, 310018 Hangzhou, P. R. China 
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Liu, Weifeng; Chen, Yimei; Wen, Chenglin; Cui, Hailong. A linear multisensor PHD filters via the measurement product space. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 5, p. 2408-2422. doi : 10.22436/jnsa.010.05.12. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.05.12/

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