赵勇胜,
赵拥军,
储美娟
中国人民解放军战略支援部队信息工程大学 郑州 450001
基金项目:国家自然科学基金(61703433),河南省科技攻关项目(192102210095)
详细信息
作者简介:黄东华:女,1982年生,副教授,研究方向为电子信号分析与处理、无源定位
赵勇胜:男,1990年生,博士生,研究方向为参数估计、无源定位
赵拥军:男,1964年生,教授,博士生导师,主要研究方向为雷达信号处理、阵列信号处理
储美娟:女,1988年生,助理工程师,主要研究方向为信息化建设、教育技术、数字媒体设计制作
通讯作者:黄东华 donghua0928@163.com
中图分类号:TN971计量
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被引次数:0
出版历程
收稿日期:2020-06-11
修回日期:2021-01-28
网络出版日期:2021-02-24
刊出日期:2021-03-22
An Algebraic Solution for Single-Observer Passive Coherent Location Using DOA-TDOA-FDOA Measurements
Donghua HUANG,,Yongsheng ZHAO,
Yongjun ZHAO,
Meijuan CHU
PLA Strategic Support Force Information Engineering University, Zhengzhou 450001, China
Funds:The National Natural Science Foundation of China (61703433), The Scientific and Technological Research Project in Henan Province (192102210095)
摘要
摘要:针对利用单站接收多个外辐射源信号实现目标定位的问题,该文提出一种基于两步加权最小二乘的到达角度(DOA)、时差(TDOA)和频差(FDOA)联合定位代数解算法。首先,在第1步加权最小二乘估计中,通过引入辅助参数,将非线性的角度、时差和频差方程转化为伪线性形式,并利用加权最小二乘得到目标位置和速度的粗估计;而后在第2步加权最小二乘估计中利用辅助参数和目标位置参数之间的约束关系来构造另外一组线性方程,并再次利用加权最小二乘得到目标位置和速度的精确估计。推导了联合角度、时差和频差定位的克拉美罗界。理论分析和仿真结果表明,算法在观测误差较小时的定位误差可以达到克拉美罗界。
关键词:无源相干定位/
到达角度/
到达时差/
到达频差/
两步加权最小二乘
Abstract:To achieve the target localization using single-observer receiving multiple external illuminators, an algebraic solution based on two-step Weighted Least Squares (2WLS) is proposed to find the target position and velocity from Direction Of Arrival (DOA), Time Difference Of Arrival (TDOA), and Frequency Difference Of Arrival (FDOA) measurements. In the first WLS step, the DOA, TDOA, and FDOA measurements are pseudo-linearized by introducing additional parameters and a WLS minimization is used to obtain an rough estimate of target position and velocity; Then in the second WLS step, the relationship between the additional parameters and the target location parameters is utilized to form another set of linear equations, from which the final accurate estimate of target position and velocity are obtained by using WLS minimization again. The Cramer-Row Lower Bound (CRLB) for DOA-TDOA-FDOA-based target position and velocity estimation are derived. Theoretical accuracy analysis and simulation results indicate that the proposed solution can achieve the CRLB at sufficiently small measurement noise levels.
Key words:Passive coherent location/
Direction Of Arrival (DOA)/
Time Difference Of Arrival (TDOA)/
Frequency Difference Of Arrival (FDOA)/
Two-step Weighted Least Squares (2WLS)
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