未知信号传播速度下存在时钟同步和传感器误差的多基地定位算法

孙霆; 王威; 陈鹏; 高婧洁

doi:10.12263/DZXB.20230046

您当前的位置：

首页 >

文章列表页 >

未知信号传播速度下存在时钟同步和传感器误差的多基地定位算法

学术论文 | 更新时间：2025-12-08

- 未知信号传播速度下存在时钟同步和传感器误差的多基地定位算法
- Multistatic Localization Algorithm Under Unknown Signal Propagation Speed Scenario with Clock Synchronization and Sensor Position Errors
- 电子学报 2023年51卷第8期页码：2124-2133
- 作者机构：
  
  长安大学信息工程学院，陕西西安 710064
- 作者简介：
  
  [ "孙霆男，1994年1月出生于山西省汾阳市.现为长安大学信息工程学院讲师.主要研究方向为雷达对抗、无源定位及多基地定位.中国电子学会会员：E190087617M. E-mail: sunting123aa@126.com" ]
  [ "王威（通讯作者）男，1981年9月出生于湖北省荆门市.现为长安大学信息工程学院教授、博士生导师，2017年入选国家级青年人才.主要研究方向为车联网定位导航技术、通信感知一体化. Email: wei.wang@chd.edu.cn" ]
  [ "陈鹏男，1992年4月出生于安徽省合肥市.现为长安大学信息工程学院讲师、硕士生导师.主要研究方向为阵列信号处理、声学信号处理. E-mail: pchen@chd.edu.cn" ]
  [ "高婧洁女，1988年8月出生于陕西省西安市.现为长安大学信息工程学院讲师、硕士生导师.主要研究方向为无线网络通信、定位及导航. E-mail: gaojingj@chd.edu.cn" ]
- 基金信息：
  
  陕西省创新能力支撑计划项目(2022TD-41);陕西省自然科学基础研究计划资助(2023-JC-QN-0743);长安大学中央高校基本科研业务费专项资金资助(300102243101;300102243401)
- DOI：10.12263/DZXB.20230046
  中图分类号： TN971.5
- 收稿：2023-01-13，
  
  修回：2023-06-03，
  
  纸质出版：2023-08-25
- 稿件说明：
移动端阅览
孙霆,王威,陈鹏等.未知信号传播速度下存在时钟同步和传感器误差的多基地定位算法[J].电子学报,2023,51(08):2124-2133.

SUN Ting,WANG Wei,CHEN Peng,et al.Multistatic Localization Algorithm Under Unknown Signal Propagation Speed Scenario with Clock Synchronization and Sensor Position Errors[J].ACTA ELECTRONICA SINICA,2023,51(08):2124-2133.
孙霆,王威,陈鹏等.未知信号传播速度下存在时钟同步和传感器误差的多基地定位算法[J].电子学报,2023,51(08):2124-2133. DOI： 10.12263/DZXB.20230046.

SUN Ting,WANG Wei,CHEN Peng,et al.Multistatic Localization Algorithm Under Unknown Signal Propagation Speed Scenario with Clock Synchronization and Sensor Position Errors[J].ACTA ELECTRONICA SINICA,2023,51(08):2124-2133. DOI： 10.12263/DZXB.20230046.

摘要

现有未知信号传播速度场景下的多基地定位算法在实际场景中受地形、遮挡等因素影响可能无法利用直接路径获取测量值.同时，这些算法引入了较多辅助变量，在相对较少数目发射站和接收站场景下也无法实现定位.为了弥补这些不足，本文对未知信号传播速度下存在时钟同步误差和传感器位置误差的多基地定位问题开展研究，并提出一种新的闭式算法.所提算法包含两个阶段，第一阶段利用发射站-目标-接收站这一间接路径的时延观测量，基于单一辅助变量构建矩阵方程，随后通过加权最小二乘技术给出初始解.第二步利用未知参数与单一额外变量的关系修正初始估计值，进一步提升定位精度.理论分析表明所提算法在适度的误差条件下可实现克拉美罗下界（Cramer Rao Lower Bound， CRLB），且在较少数目发射站和接收站场景下仍可实现目标位置和信号传播速度估计.仿真实验进一步验证了理论分析，同时表明所提算法定位精度优于现有算法.

Abstract

Existing multistatic localization algorithms with unknown signal propagation speed may not obtain measurements according to direct paths due to terrain and occlusion in general scenarios. These algorithms introduce additional variables and cannot determine the target position when the number of transmitters and receivers is relatively small. To overcome these drawbacks

this paper investigates the multistatic localization problem under the unknown signal propagation speed scenario

considering clock synchronization and sensor position errors

and develops a novel closed-form solution. The proposed method consists of two steps: In the first stage

the delay observation measurement of the indirect path of transmitter-target-receiver is used to construct the matrix equation based on a single auxiliary variable

and then the initial solution is given by the weighted least squares technique. In the second stage

the initial estimates are refined by exploiting the relationships between the extra variable and unknown parameters to improve localization accuracy. Theoretical analysis shows that the proposed method can achieve the CRLB (Cramer Rao Lower Bound) under moderate error conditions and can determine the target position and unknown signal propagation speed when the number of transmitters and receivers is small. Numerical simulations confirm the analytical results and show that the proposed method outperforms the state-of-the-art methods.

关键词

Keywords

references

ZHANG Y , HO K C . Multistatic moving object localization by a moving transmitter of unknown location and offset [J ] . IEEE Transactions on Signal Processing , 2020 , 68 : 44384453 .

赵勇胜 , 赵拥军 , 赵闯 . 基于双基地距离的多站多外辐射源无源定位算法 [J ] . 电子学报 , 2018 , 46 ( 12 ): 2840 - 2847 .

ZHAO Y S , ZHAO Y J , ZHAO C . Multi-transmitter multi-receiver passive location using bistatic range measurements [J ] . Acta Electronica Sinica , 2018 , 46 ( 12 ): 2840 - 2847 . (in Chinese)

YU Z H , LI J , GUO Q H , et al . Efficient direct target localization for distributed MIMO radar with expectation propagation and belief propagation [J ] . IEEE Transactions on Signal Processing , 2021 , 69 : 4055 - 4068 .

YANG L , YANG L , HO K C . Moving target localization in multistatic sonar by differential delays and Doppler shifts [J ] . IEEE Signal Processing Letters , 2016 , 23 ( 9 ): 1160 - 1164 .

SHEN J Y , MOLISCH A F , SALMI J . Accurate passive location estimation using TOA measurements [J ] . IEEE Transactions on Wireless Communications , 2012 , 11 ( 6 ): 2182 - 2192 .

ZHAO Y S , ZHAO Y J , ZHAO C . A novel algebraic solution for moving target localization in multi-transmitter multi-receiver passive radar [J ] . Signal Processing , 2018 , 14 : 303 - 310 .

SUN T , YU Z H . Moving target localization in distributed MIMO radar systems with sensor position errors in the presence of a calibration object [J ] . Digital Signal Processing , 2022 , 131 : 103751 .

AMIRI R , BEHNIA F , ZAMANI H . Asymptotically efficient target localization from bistatic range measurements in distributed MIMO radars [J ] . IEEE Signal Processing Letters , 2017 , 24 ( 3 ): 299 - 303 .

SONG H B , WEN G J , ZHU L X . An approximately efficient estimator for moving target localization in distributed MIMO radar systems in presence of sensor location errors [J ] . IEEE Sensors Journal , 2020 , 20 ( 2 ): 931 - 938 .

NOROOZI A , SEBT M ALI . Algebraic solution for three-dimensional TDOA/AOA localisation in multiple-input-multiple-output passive radar [J ] . IET Radar , Sonar & Navigation, 2018 , 12 ( 1 ): 21 - 29 .

KAZEMI S A R , AMIRI R , BEHNIA F . Efficient closed-form solution for 3-D hybrid localization in multistatic radars [J ] . IEEE Transactions on Aerospace & Electronic System , 2021 , 57 ( 6 ): 3886 - 3895 .

MALANOWSK M , KULPA K . Two methods for target localization in multistatic passive radar [J ] . IEEE Transactions on Aerospace & Electronic System , 2012 , 48 ( 1 ): 572 - 580 .

ZHAO Y S , LIU Z X , HU D X , et al . Target localisation from bistatic range measurements in multistatic passive radar using MDS [J ] . Journal of Engineering , 2019 , 2019( 19 ): 5770 - 5774 .

ZHANG F R , SUN Y M , ZOU J F , et al . Closed-form localization method for moving target in passive multistatic radar network [J ] . IEEE Sensors Journal , 2020 , 20 ( 2 ): 980 - 990 .

GODRICH H , HAIMOVICH A M , BLUM R S . Target localization accuracy gain in MIMO radar-based systems [J ] . IEEE Transactions on Information Theory , 2010 , 56 ( 6 ): 2783 - 2803 .

AMIRI R , BEHNIA F , NOROOZI A . Efficient joint moving target and antenna localization in distributed MIMO radars [J ] . IEEE Transactions on Wireless Communications , 2019 , 18 ( 9 ): 4425 - 4435 .

SUN T , DONG C X , MAO Y , et al . Moving target localization in multiple-input multiple-output radar systems without the prior knowledge of measurement noise powers [J ] . IEEE Communication Letters , 2020 , 24 ( 9 ): 1957 - 1960 .

KAY S M . Fundamentals of Statistical Signal Processing: Estimation Theroy [M ] . New Jersey : Prentice-Hall , 1993 .

陈嘉兴 , 程杰 , 董云玲 , 等 . 基于弯曲声线和测距修正的水下节点定位算法 [J ] . 电子学报 , 2022 , 50 ( 7 ): 1567 - 1572 .

CHEN J X , CHENG J , DONG Y L , et al . Underwater node localization algorithm based on ranging correction and curved sound ray [J ] . Acta Electronica Sinica , 2022 , 50 ( 7 ): 1567 - 1572 . (in Chinese)

AKYILDIZ I F , STUNTEBECK E P . Wireless underground sensor networks: Research challenges [J ] . Ad Hoc Networks , 2006 , 4 ( 6 ): 669 - 686 .

LUI K W K , MA W K , SO H , et al . Semi-definite programming algorithms for sensor network node localization with uncertainties in anchor positions and/or propagation speed [J ] . IEEE Transactions on Signal Processing , 2009 , 57 ( 2 ): 752 - 763 .

RUI L Y , HO K C . Efficient closed-form estimators for multistatic sonar localization [J ] . IEEE Transactions on Aerospace & Electronic Systems , 2015 , 51 ( 1 ): 600 - 614 .

范超 , 王鼎 , 杨宾 , 等 . 信号传播速度未知下水下多基地声呐定位算法 [J ] . 兵工学报 , 2022 , 43 ( 3 ): 637 - 652 .

FAN C , WANG D , YANG B , et al . An algorithm for underwater target localization of multistatic sonar system with unknown signal propagation speed [J ] . Acta Armamentarii , 2022 , 43 ( 3 ): 637 - 652 . (in Chinese)

YANG S L , WANG G , HO K C . Noise resilient solution and its analysis for multistatic localization using differential arrival times [J ] . Signal Processing , 2021 , 188 : 1 - 16 .

AMIRI R , KAZEMI S A R , BEHNIA F , et al . Efficient elliptic localization in the presence of antenna position uncertainties and clock parameter imperfections [J ] . IEEE Transactions on Vehicular Technology , 2019 , 68 ( 10 ): 9797 - 9805 .

HU D X , HUAN Z , ZHANG S Y , al et , Joint TDOA , FDOA and differential Doppler rate estimation method and its performance analysis [J ] . Chinese Journal of Aeronautics , 2018 , 31 ( 1 ): 137 - 147 .

DONG Y Y , DONG C X , LIU W , al et , 2 -D DOA estimation for L-shaped array with array aperture and snapshots extension techniques, 2017, 24 ( 4 ): 495 - 499 .

张贤达 . 矩阵分析与应用 [M ] . 北京 : 清华大学出版社 , 2004 .

ZHANG X D . Matrix Analysis and Applications [M ] . Beijing : Tsinghua University Press , 2004 . (in Chinese)

JIA T Y , HO K C , WANG H Y , et al . Localization of a moving object with sensors in motion by time delays and Doppler shifts [J ] . IEEE Transactions on Signal Processing , 2020 , 68 : 5824 - 5841 .

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

暂无数据