Anchor-Based Three-Dimensional Localization Using Range Measurements

	Anchor-Based Three-Dimensional Localization Using Range Measurements
	Wang, Yue; Xiong, Weiming
	2012
会议名称	8th International Conference on Wireless Communications, Networking and Mobile Computing (WiCOM)
会议日期	SEP 21-23, 2012
会议地点	Shanghai, PEOPLES R CHINA
关键词	Localization three-dimensional (3D) Cramer-Rao bound (CRB) geometric dilusion of precision (GDOP) maximum likelihood (ML) least square (LS)
通讯作者	Wang, Y (reprint author), Chinese Acad Sci, Ctr Space Sci & Appl Res, Beijing 100190, Peoples R China.
中文摘要	Real-time high-accuracy position information is essential to a variety of applications. This paper discusses anchor-based three-dimensional (3D) localization problem using range measurements. Under zero-mean independent Gaussian ranging error model, Cramer-Rao bound (CRB) is derived and its relationship with geometric dilution of precision (GDOP) is given. Maximum likelihood (ML) and least square (LS) localization algorithms are given and Newton-Raphson (NR), Gauss-Newton (GN), and steepest decent (SD) methods are used to approximate the ML/LS estimation. Ranging error is related to signal-to-noise-ratio (SNR) in simulation examples, and we illustrate that the geometric relationship between agent and anchors can influence the localization performance, especially outside the cube bounded by anchors and in the direction from the cubic center to each anchor. We also intuitively show that GDOP is not a proper measurement for localization performance, when the differences on ranging error variances under different SNRs are nonnegligible. We demonstrate the feasibility of using NR, GN, and SD methods to approach the ML/LS estimation and show the relatively slow convergence speed feature of SD method. We illustrate ML estimator is optimal since its mean square error attains the CRB for high SNR conditions, while LS can only provide suboptimal localization accuracy. We also show that decreasing the number of anchors will degrade the localization performance and vice versa.
英文摘要	Real-time high-accuracy position information is essential to a variety of applications. This paper discusses anchor-based three-dimensional (3D) localization problem using range measurements. Under zero-mean independent Gaussian ranging error model, Cramer-Rao bound (CRB) is derived and its relationship with geometric dilution of precision (GDOP) is given. Maximum likelihood (ML) and least square (LS) localization algorithms are given and Newton-Raphson (NR), Gauss-Newton (GN), and steepest decent (SD) methods are used to approximate the ML/LS estimation. Ranging error is related to signal-to-noise-ratio (SNR) in simulation examples, and we illustrate that the geometric relationship between agent and anchors can influence the localization performance, especially outside the cube bounded by anchors and in the direction from the cubic center to each anchor. We also intuitively show that GDOP is not a proper measurement for localization performance, when the differences on ranging error variances under different SNRs are nonnegligible. We demonstrate the feasibility of using NR, GN, and SD methods to approach the ML/LS estimation and show the relatively slow convergence speed feature of SD method. We illustrate ML estimator is optimal since its mean square error attains the CRB for high SNR conditions, while LS can only provide suboptimal localization accuracy. We also show that decreasing the number of anchors will degrade the localization performance and vice versa.
收录类别	EI ; CPCI
会议主办者	IEEE, IEEE Antennas & Propagat Soc, Shanghai Jiao Tong Univ, Wuhan Univ, Huazhong Univ Sci & Technol, Commun Univ China, Wuhan Univ Technol, Sch Informat Engn, Beijing Jiaotong Univ, Tianjin Univ, Lanzhou Univ, Xidian Univ, S-Cent Univ Nationalities, Fujian Normal Univ, Hainan Univ, Chongqing Univ, Changan Univ, Fuzhou Univ, Guangdong Univ Technol
会议录	2012 INTERNATIONAL CONFERENCE ON WIRELESS COMMUNICATIONS, NETWORKING AND MOBILE COMPUTING (WICOM)
会议录出版者	IEEE
会议录出版地	NEW YORK
学科主题	空间技术
语种	英语
ISSN号	2161-9646
ISBN号	978-1-61284-683-5; 978-1-61284-682-8
内容类型	会议论文
源URL	[http://ir.nssc.ac.cn/handle/122/2958]
专题	国家空间科学中心_空间技术部
推荐引用方式 GB/T 7714	Wang, Yue,Xiong, Weiming. Anchor-Based Three-Dimensional Localization Using Range Measurements[C]. 见:8th International Conference on Wireless Communications, Networking and Mobile Computing (WiCOM). Shanghai, PEOPLES R CHINA. SEP 21-23, 2012.