摘要
针对传统多站雷达定位系统硬件复杂度高、算法性能分析不充分,本文研究单发多收配置下的二次雷达目标定位方法。首先,建立目标与发射站双程距离及与各接收站单程距离相结合的测距观测模型,推导系统费舍尔信息矩阵(FIM)和克拉美罗下界(CRLB);其次,在利用全部测距数据构造非线性最小二乘目标函数的基础上,设计基于高斯-牛顿近似的牛顿迭代定位算法,并结合初值与步长控制提高收敛性;最后,采用高斯白噪声进行1000次蒙特卡洛仿真。结果表明,在测距噪声标准差1~5 m时,算法定位均方根误差(RMSE)接近CRLB,验证了所提方法在硬件简化的同时具有高精度和良好工程前景。
To address the high hardware complexity and insufficient analysis of algorithm performance of conventional multistatic radar localization systems,this paper investigates a secondary radar target localization method under a single-transmitter multiple-receiver configuration.First,a ranging observation model is established by combining the two-way range between the target and the transmitting station and the one-way ranges to each receiving station,and the Fisher information matrix(FIM)and Cramér-Rao lower bound(CRLB)of the system are derived.Then,based on a nonlinear least-squares objective function constructed from all ranging data,a Newton iterative localization algorithm based on Gauss-Newton approximation is designed,where suitable initialization and step-size control are employed to improve convergence.Finally,1000 Monte Carlo simulations with additive white Gaussian noise are carried out.The results show that,when the ranging noise standard deviation is 1~5 m,the root mean square error(RMSE)of the algorithm localization closely approaches the CRLB,verifying that the proposed method achieves high accuracy while simplifying the hardware and thus has good engineering prospects.
作者
郑超
杨晨煜
刘文超
ZHENG Chao;YANG Chenyu;LIU Wenchao(Sichuan Jiuzhou Aerocont Technologies Co Ltd,Mianyang 621000,China;School of Information and Communication Engineering,University of Electronic Science and Technology of China,Chengdu 611731,China;The 27th Research Institute of China Electronics Technology Group Corporation,Zhengzhou 450047,China)
出处
《传感器与微系统》
北大核心
2026年第4期167-172,共6页
Transducer and Microsystem Technologies
基金
四川省科技计划项目(2023JDRC0003)。
关键词
二次雷达
多站定位
牛顿迭代法
克拉美罗下界
secondary radar
multistatic localization
Newton’s iteration method
CRLB
