Error bounds for joint detection and estimation of multiple unresolved target-groups

被引:1
|
作者
Lian Feng [1 ]
Duan Zhan-Sheng [1 ]
Yuan Xiang-Hui [1 ]
Han Chong-Zhao [1 ]
机构
[1] Xi An Jiao Tong Univ, Coll Elect & Informat Engn, Minist Educ, Key Lab Intelligent Networks & Network Secur MOE, Xian 710049, Peoples R China
基金
中国国家自然科学基金;
关键词
Error bounds; Unresolved target-groups; Joint detection and estimation; Random finite set; MULTITARGET TRACKING; RESOLUTION; OBJECT; SINGLE;
D O I
10.1016/j.dsp.2015.08.017
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
According to random finite set (RFS) and information inequality, this paper derives an error bound for joint detection and estimation (JDE) of multiple unresolved target-groups in the presence of clutters and missed detections. The JDE here refers to determining the number of unresolved target-groups and estimating their states. In order to obtain the results of this paper, the states of the unresolved target groups are modeled as a multi-Bernoulli RFS first. The point cluster model proposed by Mahler is used to describe the observation likelihood of each group. Then, the error metric between the true and estimated state sets of the groups is defined by the optimal sub-pattern assignment distance rather than the usual Euclidean distance. The maximum a posteriori detection and unbiased estimation criteria are used in deriving the bound. Finally, we discuss some special cases of the bound when the number of unresolved target-groups is known a priori or is at most one. Example 1 shows the variation of the bound with respect to the probability of detection and clutter density. Example 2 verifies the effectiveness of the bound by indicating the performance limitations of the cardinalized probability hypothesis density and cardinality balanced multi-target multi-Bernoulli filters for unresolved target-groups. Example 3 compares the bound of this paper with the (single-sensor) bound of [4] for the case of JDE of a single unresolved target-group. At present, this paper only addresses the static JDE problem of multiple unresolved target groups. Our future work will study the recursive extension of the bound proposed in this paper to the filtering problems by considering the group state evolutions. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码:10 / 24
页数:15
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