首页|Localization in modified polar representation:hybrid measurements and closed-form solution

Localization in modified polar representation:hybrid measurements and closed-form solution

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Classical localization methods use Cartesian or Polar coordinates,which require a priori range information to deter-mine whether to estimate position or to only find bearings.The modified polar representation(MPR)unifies near-field and far-field models,alleviating the thresholding effect.Current localiza-tion methods in MPR based on the angle of arrival(AOA)and time difference of arrival(TDOA)measurements resort to semidefinite relaxation(SDR)and Gauss-Newton iteration,which are computationally complex and face the possible diverge problem.This paper formulates a pseudo linear equation between the measurements and the unknown MPR position,which leads to a closed-form solution for the hybrid TDOA-AOA localization problem,namely hybrid constrained optimization(HCO).HCO attains Cramér-Rao bound(CRB)-level accuracy for mild Gaussian noise.Compared with the existing closed-form solutions for the hybrid TDOA-AOA case,HCO provides compa-rable performance to the hybrid generalized trust region sub-problem(HGTRS)solution and is better than the hybrid succes-sive unconstrained minimization(HSUM)solution in large noise region.Its computational complexity is lower than that of HGTRS.Simulations validate the performance of HCO achieves the CRB that the maximum likelihood estimator(MLE)attains if the noise is small,but the MLE deviates from CRB earlier.

localizationmodified polar representationtime dif-ference of arrival(TDOA)angle of arrival(AOA)closed-form solution

CONG Xunchao、SUN Yimao、YANG Yanbing、ZHANG Lei、CHEN Liangyin

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The 10th Research Institute of China Electronics Technology Group Corporation,Chengdu 610036,China

College of Computer Science and Institute for Industrial Internet Research,Sichuan University,Chengdu 610065,China

国家自然科学基金Sichuan University and Yibin Municipal People's Government University and City Strategic Cooperation Special Fund ProjectScience and Technology Plan Transfer Payment Project of Sichuan ProvinceKey Research and Development Program of Science and Technology Department of Sichuan Province

621013592020CDYB-292021ZYSF0072020YFS05752021KJT0012-2021YFS-0067

2024

10.23919/JSEE.2023.000146

系统工程与电子技术(英文版)
中国航天科工防御技术研究院 中国宇航学会 中国系统工程学会 中国系统仿真学会

系统工程与电子技术(英文版)

CSTPCD
影响因子：0.64
ISSN：1004-4132
年,卷(期)：2024.35(3)
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