[1]许志刚,盛安冬.基于不完全量测下三维纯方位系统的Cramer-Rao下界[J].南京理工大学学报(自然科学版),2010,(01):8-12.
 XU Zhi-gang,SHENG An-dong.Cramer-Rao Lower Bound in 3-D Bearings-only System Based on Incomplete Measurements[J].Journal of Nanjing University of Science and Technology,2010,(01):8-12.
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基于不完全量测下三维纯方位系统的Cramer-Rao下界
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
2010年01期
页码:
8-12
栏目:
出版日期:
2010-02-28

文章信息/Info

Title:
Cramer-Rao Lower Bound in 3-D Bearings-only System Based on Incomplete Measurements
作者:
许志刚;盛安冬;
南京理工大学自动化学院
Author(s):
XU Zhi-gang 12SHENG An-dong 1
1.School of Automation,NUST,Nanjing 210094,China;2.School of Science,Huaihai Institute of Technology,Lianyungang 222005,China
关键词:
非线性滤波 纯方位跟踪 不完全量测 Cramer-Rao下界 三维空间
Keywords:
nonlinear filtering bearings-only tracking incomplete measurements Cramer-Rao lower bound three-dimensional spaces
分类号:
TN953
摘要:
在量测数据随机丢失情况下,对非线性的纯方位跟踪(Bearings-only tracking,BOT)滤波Cramer-Rao下界(Cramer-Rao lower bound,CRLB)问题进行了讨论。针对量测信息来自探测概率小于1的不同信号通道且每个通道的探测概率不同情况,利用Fisher信息阵迭代法建立了多输入多输出三维BOT系统滤波的CRLB模型,它的计算量随探测序列呈指数增长;一种基于统计意义下的缩减因子法被给出,理论证明它小于理想CRLB;另外,一个适合工程应用的近似理论CRLB被提出,分析表明能降低计算复杂度。
Abstract:
The Cramer-Rao lower bound(CRLB) of nonlinear filtering for bearings-only tracking(BOT) is considered based on the measurements that contain stochastic missing observations.The measurement information comes from different detection probability signal channels in which the detection probability is less than 1.The model of CRLB for BOT in 3-D is derived by using the recursive Fisher information matrix(FIM) in multiple-input-multiple-output(MIMO) system.The theoretical formula involves the evaluation of the exponentially growing number of detection sequences.A detection reduction factor method in a sense of statistics is presented,and the result that the method here is always less than the theoretical CRLB is proved.In addition,an approximation of the theoretical bound for practical applications is proposed,which can reduce the computation load by analysis.

参考文献/References:

[ 1] Nardone S C, Lingren A G. Fundam enta l prope rtiesand perfo rmance of conventiona l bearings- on ly ta rgetm o tion analysis[ J]. IEEE Transactions on Au tom aticContro,l 1984, 29( 9): 775- 787.
[ 2] Ba r- sha lom Y, L i X R, K irubara jan T. Estima tionw ith applica tions to track ing and nav iga tion[M ]. NewYork: W iley, 2001.[ 3 ] Douce t A, Freitas N, Go rdon N. Sequentia lM on teCarlo me thods in practice[M ]. New York: Spr ing er-Ve rlag, 2001.
[ 4] Kerr T H. Status o f CR- like low er bounds for non linearfiltering [ J]. IEEE T ransactions on Aerosppaceand E lectron ic System s, 1989, 25( 9): 590- 601.
[ 5] H ernandezM, K irubara jan T, Bar-Sha lom Y. Mu lt-isensor resource deploym ent using posterior C ram er-Rao bounds[ J] . IEEE Transac tions on Aero space andE lectron ic System s, 2004, 40( 2): 399- 416.
[ 6] Passer ieux JM, C appel D V. Optima l observerm aneuverfo r bear ing s-on ly tracking [ J]. IEEE T ransactionson Aerospace and E lectronic Systems, 1998, 34 ( 3):777- 788.
[ 7] T ichavsky P, Mu ravch ik C H, Neho ra i A. Poste rio rCram er-Rao bounds fo r discrete- tim e non linear filtering[ J ]. IEEE T ransactions on S ignal Processing,1998, 46( 5): 1386- 1396.
[ 8] Boers Y, Dr iessen H. Results on them odified Riccatiequation: Ta rget tracking app lications [ J] . IEEETransac tions on Aerospace and E lectronic System s,2006, 42( 1): 379- 384.
[ 9] Sinopo l B, Schenato L, FransceschettiM, et a .l Ka-lm an filte ring w ith interm ittent obse rvations[ J]. IEEETransac tions on Autom atic Contro,l 2004, 49 ( 9 ):1453- 1464.
[ 10] Zhang X, Bar-Shalom Y. Dynam ic C ram er-Rao boundfo r ta rget tracking in clutter[ J]. IEEE Transactions onAero space and E lectronic System s, 2005, 41 ( 4 ):1154- 1167.
[ 11] H ernandezM, R istic B, Farina A, et a.l A compar-ison of two Cram er-Rao bounds fo r non linear filter ingw ith Pd < 1[ J]. IEEE Transactions on S igna lProcessing,2004, 52( 9): 2361- 2370.
[ 12] 许志刚, 陈黎, 穆玉强, 等. 不完全量测下C ram er-Rao下界与数据丢失位置的关系[ J] . 自动化学报, 2009, 35( 8): 1080- 1086.
[ 13] Far ina A, R istic B, T imm oneri L. C ram er-Rao boundfo r non linear filtering w ithPd < 1 and its applica tion tota rget track ing[ J]. IEEE Transactions on S ignal Processing,2002, 50( 8): 1916- 1924.
[ 14] 许志刚, 盛安冬. 基于初距划分的纯方位目标跟踪的EKF滤波器群[ J]. 南京理工大学学报( 自然科学版), 2007, 31( 4): 440- 443.

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备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 60804019) 作者简介: 许志刚( 1965- ), 男, 博士, 副教授, 主要研究方向: 非线性滤波, 目标定位跟踪等, E-m a il: xuzh igang@126. com。
更新日期/Last Update: 2012-11-02