| 基于不完全量测下三维纯方位系统的Cramer-Rao下界 |
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| 引用本文： | 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),2010,34(1). |
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| 作者姓名： | 许志刚 盛安冬 |
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| 作者单位： | 1. 南京理工大学,自动化学院,江苏,南京,210094;淮海工学院,理学院,江苏,连云港,222005
2. 南京理工大学,自动化学院,江苏,南京,210094 |
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| 基金项目： | 国家自然科学基金(60804019) |
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| 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。
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| 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 |
Cramer-Rao Lower Bound in 3-D Bearings-only System Based on Incomplete Measurements |
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| 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(Nature Science),2010,34(1). |
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| Authors: | XU Zhi-gang SHENG An-dong |
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| Institution: | 1.School of Automation/a>;NUST/a>;Nanjing 210094/a>;China/a>;2.School of Science/a>;Huaihai Institute of Technology/a>;Lianyungang 222005/a>;China |
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| 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 ex... |
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| Keywords: | nonlinear filtering bearings-only tracking incomplete measurements Cramer-Rao lower bound three-dimensional spaces |
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