Optimal estimation of sensor biases for asynchronous multi-sensor data fusion

doi:10.1007/s10107-018-1304-2

	Optimal estimation of sensor biases for asynchronous multi-sensor data fusion
	Pu, Wenqiang 1; Liu, Ya-Feng2 ; Yan, Junkun 1; Liu, Hongwei 1; Luo, Zhi-Quan 3
	2018-07-01
发表期刊	MATHEMATICAL PROGRAMMING
ISSN	0025-5610
卷号	170 期号:1 页码:357-386
摘要	An important step in a multi-sensor surveillance system is to estimate sensor biases from their noisy asynchronous measurements. This estimation problem is computationally challenging due to the highly nonlinear transformation between the global and local coordinate systems as well as the measurement asynchrony from different sensors. In this paper, we propose a novel nonlinear least squares formulation for the problem by assuming the existence of a reference target moving with an (unknown) constant velocity. We also propose an efficient block coordinate decent (BCD) optimization algorithm, with a judicious initialization, to solve the problem. The proposed BCD algorithm alternately updates the range and azimuth bias estimates by solving linear least squares problems and semidefinite programs. In the absence of measurement noise, the proposed algorithm is guaranteed to find the global solution of the problem and the true biases. Simulation results show that the proposed algorithm significantly outperforms the existing approaches in terms of the root mean square error.
关键词	Block coordinate decent algorithm Nonlinear least squares Sensor registration problem Tightness of semidefinite relaxation
DOI	10.1007/s10107-018-1304-2
语种	英语
资助项目	National Natural Science Foundation of China (NSFC) Key Project Grant[61731018] ; NSFC[11331012] ; NSFC[11631013] ; NSFC[61601340] ; China National Funds for Distinguished Young Scientists Grant[61525105]
WOS研究方向	Computer Science ; Operations Research & Management Science ; Mathematics
WOS类目	Computer Science, Software Engineering ; Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000435787200014
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30614
专题	计算数学与科学工程计算研究所
通讯作者	Luo, Zhi-Quan
作者单位	1.Xidian Univ, Natl Lab Radar Signal Proc, Collaborat Innovat Ctr Informat Sensing & Underst, Xian 710071, Shaanxi, Peoples R China 2.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chinese Univ Hong Kong, Shenzhen Res Inst Big Data, Shenzhen 518172, Peoples R China
推荐引用方式 GB/T 7714	Pu, Wenqiang,Liu, Ya-Feng,Yan, Junkun,et al. Optimal estimation of sensor biases for asynchronous multi-sensor data fusion[J]. MATHEMATICAL PROGRAMMING,2018,170(1):357-386.
APA	Pu, Wenqiang,Liu, Ya-Feng,Yan, Junkun,Liu, Hongwei,&Luo, Zhi-Quan.(2018).Optimal estimation of sensor biases for asynchronous multi-sensor data fusion.MATHEMATICAL PROGRAMMING,170(1),357-386.
MLA	Pu, Wenqiang,et al."Optimal estimation of sensor biases for asynchronous multi-sensor data fusion".MATHEMATICAL PROGRAMMING 170.1(2018):357-386.