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In order to make the cardinalized probability hypothesis density filter well understood, its function is deduced with the Bayes theorem and the total probability theorem based on the physical-space model made by Ozgur Erdin. The derivation is detailed and clear, and the results of the derivation are identical to those in the literature. This paper will provide the theory basis for the application and the performance improvement of the cardinalized probability hypothesis density filter in target tracking.
[1] Yang P, Hou W, Zhi R 2009 Acta Phys. Sin. 58 2097 (in Chinese) [杨萍, 侯威, 支蓉 2009 58 2097]
[2] Jiang X, Harishan K, Tharmarasa R, Kirubarajan T, Thayaparan T 2014 Signal Process. 94 241
[3] Chen X, Pelletier M, Kirubarajan T 2013 IEEE Trans. Aerosp. Electron. Syst. 49 395
[4] Sheng Z 2011 Acta Phys. Sin. 60 119301 (in Chinese) [盛峥 2011 60 119301]
[5] Wu X D, Wang Y N, Liu W T, Zhu Z Y 2011 Chin. Phys. B 20 069201
[6] Leng H Z, Song J Q 2013 Chin. Phys. B 22 030505
[7] Bi J, Guan W, Qi L T 2012 Chin. Phys. B 21 068901
[8] Mahler R 2003 IEEE Trans. Aerosp. Electron. Syst. 39 1152
[9] Erdinc O, Willett P, Bar-Shalom Y 2006 Signal and Data Processing of Small Targets 2006 Kissimmee, FL Republic April 18-20, 2006 p623619
[10] Erdinc O, Willett P, Bar-Shalom Y 2009 IEEE Trans. Signal Process. 57 4232
[11] Zhai D L, Lei H M, Li H N, Li J, Shao L 2014 Acta Phys. Sin. 63 200204 (in Chinese) [翟岱亮, 雷虎民, 李海宁, 李炯, 邵雷 2014 63 200204]
[12] Mahler R 2007 Statistical Multisource-Multitarget Information Fusion (Norwood: Artech House) pp632-651
[13] Beard M, Vo B T, Vo B N, Arulampalam A 2013 IEEE Trans. Aerosp. Electron. Syst. 49 2835
[14] Nannuru S, Coates M, Mahler R 2013 IEEE J. STSP 7 410
[15] Lian F, Han C Z, Liu W F, Liu J, Yuan X H 2012 Sci. China. F 55 501
[16] Lin Z P, Zhou Y Y, An W 2012 J. Infrared Millim. Waves 31 475 (in Chinese) [林再平, 周一宇, 安玮 2012 红外与毫米波学报 31 475]
[17] Ulmke M, Franken D, Schmidt M 2008 11th International Conference on Information Fusion Cologne, Germany Republic June 30-July 3, 2008 p1
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[1] Yang P, Hou W, Zhi R 2009 Acta Phys. Sin. 58 2097 (in Chinese) [杨萍, 侯威, 支蓉 2009 58 2097]
[2] Jiang X, Harishan K, Tharmarasa R, Kirubarajan T, Thayaparan T 2014 Signal Process. 94 241
[3] Chen X, Pelletier M, Kirubarajan T 2013 IEEE Trans. Aerosp. Electron. Syst. 49 395
[4] Sheng Z 2011 Acta Phys. Sin. 60 119301 (in Chinese) [盛峥 2011 60 119301]
[5] Wu X D, Wang Y N, Liu W T, Zhu Z Y 2011 Chin. Phys. B 20 069201
[6] Leng H Z, Song J Q 2013 Chin. Phys. B 22 030505
[7] Bi J, Guan W, Qi L T 2012 Chin. Phys. B 21 068901
[8] Mahler R 2003 IEEE Trans. Aerosp. Electron. Syst. 39 1152
[9] Erdinc O, Willett P, Bar-Shalom Y 2006 Signal and Data Processing of Small Targets 2006 Kissimmee, FL Republic April 18-20, 2006 p623619
[10] Erdinc O, Willett P, Bar-Shalom Y 2009 IEEE Trans. Signal Process. 57 4232
[11] Zhai D L, Lei H M, Li H N, Li J, Shao L 2014 Acta Phys. Sin. 63 200204 (in Chinese) [翟岱亮, 雷虎民, 李海宁, 李炯, 邵雷 2014 63 200204]
[12] Mahler R 2007 Statistical Multisource-Multitarget Information Fusion (Norwood: Artech House) pp632-651
[13] Beard M, Vo B T, Vo B N, Arulampalam A 2013 IEEE Trans. Aerosp. Electron. Syst. 49 2835
[14] Nannuru S, Coates M, Mahler R 2013 IEEE J. STSP 7 410
[15] Lian F, Han C Z, Liu W F, Liu J, Yuan X H 2012 Sci. China. F 55 501
[16] Lin Z P, Zhou Y Y, An W 2012 J. Infrared Millim. Waves 31 475 (in Chinese) [林再平, 周一宇, 安玮 2012 红外与毫米波学报 31 475]
[17] Ulmke M, Franken D, Schmidt M 2008 11th International Conference on Information Fusion Cologne, Germany Republic June 30-July 3, 2008 p1
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