ACCURATE SEMIDEFINITE RELAXATION METHOD FOR 3-D RIGID BODY LOCALIZATION USING AOA

被引:0
作者
Wang, Gang [1 ]
Ho, K. C. [2 ]
机构
[1] Ningbo Univ, Fac Elect Engn & Comp Sci, Ningbo, Peoples R China
[2] Univ Missouri, Elect Engn & Comp Sci Dept, Columbia, MO 65211 USA
来源
2020 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING | 2020年
关键词
Angle-of-arrival; rigid body localization; constrained weighted least squares; semidefinite program; NETWORK LOCALIZATION; EFFICIENT ESTIMATOR; ARRIVAL; RANGE; TIME;
D O I
10.1109/icassp40776.2020.9054338
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
This paper addresses the rigid body localization problem using angle-of-arrival measurements. We formulate the problem as a constrained weighted least squares (CWLS) minimization problem with the rotation matrix and position vector as variables, which is a challenging non-convex problem. To approximately solve this problem, we first relax it as a convex semidefinite program (SDP), and then tighten the relaxed problem by adding some reasonable second-order cone constraints. Simulations show that the tightened SDP problem is able to reach the performance of the original CWLS problem, making its solution achieve the Cramer-Rao lower bound accuracy, when the noise level is not too high.
引用
收藏
页码:4955 / 4959
页数:5
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