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In order to well understand the probability hypothesis density, according to the physical-space model given by Ozgur Erdin, we deduce the probability hypothesis density filter function with the Bayes theorem and the total probability theorem. The derivation result is identical to the result in the literature, and the derivation process is described in detail. The results in this paper will provide a theoretical basis for solving the target-death problem.
[1] Gan L, Xiong B 2012 Acta Phys. Sin. 61 210504 (in Chinese) [甘露, 熊波 2012 61 210504]
[2] Zhang Z T, Zhang J S 2010 Chin. Phys. B 19 104601
[3] Wu X F, Wang Y N, Liu W T, Zhu Z Y 2011 Chin. Phys. B 20 069201
[4] Sheng Z, Chen J Q, Xu R H 2012 Acta Phys. Sin. 61 069301 (in Chinese) [盛峥, 陈加清, 徐如海 2012 61 069301]
[5] Bi J, Guan W, Qi L T 2012 Chin. Phys. B 21 068901
[6] Leng H Z, Song J Q 2013 Chin. Phys. B 22 030505
[7] Kang J, Li Y B, Lin Y, Xie H 2013 J. Syst. Eng. Electron. 35 1620 (in Chinese) [康健, 李一兵, 林云, 谢红 2013 系统工程与电子技术 35 1620]
[8] Ruan Y, Willett P 2004 IEEE Trans. Aerosp. Electron. Syst. 40 1337
[9] Hu Z H, Feng J C 2011 Acta Phys. Sin. 60 070505 (in Chinese) [胡志辉, 冯久超 2011 60 070505]
[10] Mahler R 2003 IEEE Trans. Aerosp. Electron. Syst. 39 1152
[11] 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]
[12] Liu Z X, Xie W X, Wang P, Yu Y 2013 Sci. China F 56 102302
[13] Lian F, Han C Z, Liu W F, Liu J, Yuan X H 2012 Sci. China F 55 501
[14] Li W L, Jia Y M, Du J P, Zhang J 2014 Signal Process. 94 48
[15] Zhou X L, Li Y F, He B W 2014 Signal Process. 94 650
[16] Erdinc O, Willett P, Bar-Shalom Y 2006 Signal and Data Processing of Small Targets 2006 Kissimmee, FL Republic, April 18-20, 2006 pp623,619
[17] Erdinc O, Willett P, Bar-Shalom Y 2009 IEEE Trans. Signal Process. 57 4232
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[1] Gan L, Xiong B 2012 Acta Phys. Sin. 61 210504 (in Chinese) [甘露, 熊波 2012 61 210504]
[2] Zhang Z T, Zhang J S 2010 Chin. Phys. B 19 104601
[3] Wu X F, Wang Y N, Liu W T, Zhu Z Y 2011 Chin. Phys. B 20 069201
[4] Sheng Z, Chen J Q, Xu R H 2012 Acta Phys. Sin. 61 069301 (in Chinese) [盛峥, 陈加清, 徐如海 2012 61 069301]
[5] Bi J, Guan W, Qi L T 2012 Chin. Phys. B 21 068901
[6] Leng H Z, Song J Q 2013 Chin. Phys. B 22 030505
[7] Kang J, Li Y B, Lin Y, Xie H 2013 J. Syst. Eng. Electron. 35 1620 (in Chinese) [康健, 李一兵, 林云, 谢红 2013 系统工程与电子技术 35 1620]
[8] Ruan Y, Willett P 2004 IEEE Trans. Aerosp. Electron. Syst. 40 1337
[9] Hu Z H, Feng J C 2011 Acta Phys. Sin. 60 070505 (in Chinese) [胡志辉, 冯久超 2011 60 070505]
[10] Mahler R 2003 IEEE Trans. Aerosp. Electron. Syst. 39 1152
[11] 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]
[12] Liu Z X, Xie W X, Wang P, Yu Y 2013 Sci. China F 56 102302
[13] Lian F, Han C Z, Liu W F, Liu J, Yuan X H 2012 Sci. China F 55 501
[14] Li W L, Jia Y M, Du J P, Zhang J 2014 Signal Process. 94 48
[15] Zhou X L, Li Y F, He B W 2014 Signal Process. 94 650
[16] Erdinc O, Willett P, Bar-Shalom Y 2006 Signal and Data Processing of Small Targets 2006 Kissimmee, FL Republic, April 18-20, 2006 pp623,619
[17] Erdinc O, Willett P, Bar-Shalom Y 2009 IEEE Trans. Signal Process. 57 4232
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