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未知信号传播速度的TDOA定位方法研究

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研究了未知信号传播速度时的到达时间差(Time-Difference-Of-Arrival,TDOA)定位问题,提出两种联合估计信号传播速度和目标位置的定位方法.第一种方法为两步加权最小二乘方法.在该方法中,首先不考虑变量之间关系,得到一个关于未知变量的初始加权最小二乘估计.为改进第一步估计的性能,第二步考虑第一步估计中变量之间的关系,将其转换为一个标准的广义信赖域子问题,最终获得更高精度的估计性能.第二种方法为半正定松弛方法,通过构建非线性非凸加权最小二乘问题,然后利用半正定松弛技术将其松弛为凸的半正定规划问题,容易求解.仿真结果表明,所提两种方法均能够在高斯噪声下,且噪声不太大时达到克拉美-罗界.
Research on TDOA Localization under Unknown Signal Propagation Speed
Localization for the time-difference-of-arrival(TDOA)measurement under unknown signal propagation speed is studied,and two localization methods based on joint signal propagation speed and target location estimation are proposed. The first method is the two-step weighted least squares method. In this method,an initial weighted least squares estimation of unknown parameters is obtained with-out considering the relation between parameters. To improve the estimation performance in the first step,the second step is considered to transform the relationship between the parameters in the first step into a standard generalized trust-region subproblem,thus higher preci-sion estimation performance is obtained. The second method is the positive semidefinite relaxation method,which constructs the nonlin-ear non-convex weighted least squares problem, and then a semidefinite programming optimization problem is formulated through utilizing semidefinite relaxation. The result of simulation shows that the two proposed methods are very close to the Cramer-Rao lower bound under Gaussian noise when the noise is not too loud.

localizationSemidefinite relaxationtime difference of arrivalMaximum likehood estimationtwo-step weighted least squares method

薛燕、王磊

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中国电子科技集团公司第三十六研究所,浙江 嘉兴314033

定位 半正定松弛 到达时间差 最大似然估计 两步加权最小二乘法

2024

传感技术学报
东南大学 中国微米纳米技术学会

传感技术学报

CSTPCD北大核心
影响因子:1.276
ISSN:1004-1699
年,卷(期):2024.37(3)
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