基于高斯牛顿迭代的CWLS时频差无源定位方法  

A Method of CWLS Time-Frequency Difference Passive Localization Based on Gaussian Newton Iteration

作　　者：王政 余建宇[1] 解佳龙 石砚文 WANG Zheng;YU Jianyu;XIE Jialong;SHI Yanwen(Xi'an Electronic Engineering Research Institute,Xi'an 710100,China)

机构地区：[1]西安电子工程研究所,西安710100

出　　处：《火控雷达技术》2025年第1期25-31,共7页Fire Control Radar Technology

摘　　要：针对动目标时差频差无源定位问题以及高斯牛顿迭代法在使用不准初始值进行迭代时会出现结果不准的问题,提出一种基于高斯牛顿迭代的约束加权最小二乘(CWLS)时差频差定位算法。该算法首先把求解非线性时差频差定位方程问题转化为二次规划问题,然后重新构造约束条件方程并利用拉格朗日乘子求极值思想求解出目标定位初始解,然后将初始解代入构建的目标位置和速度高斯牛顿迭代方程进行迭代优化。通过计算机仿真在近远场条件下分别对比了所提方法和两步加权最小二乘法(two-stage weighted least squares,TSWLS)等方法的定位性能。仿真实验表明,所提算法对近场目标和远场目标均有着较好的定位效果,其适应高噪声环境能力强、定位精度高。Aiming at the moving target time-difference frequency-difference passive localization problem and the problem that the Gaussian Newton iteration method will produce inaccurate results when iterating with inaccurate initial values,a constrained weighted least squares(CWLS)time-difference frequency-difference localization algorithm based on the Gaussian Newton iteration was proposed.The algorithm firstly transforms the problem of solving nonlinear time-difference frequency-difference localization equations into a quadratic programming problem,then reconstructed the constraint equations and solved the initial solution of target localization by using the idea of Lagrange multiplier for extremum,and then substitutes the initial solution into the Gaussian Newton iterative equations of the constructed target position and velocity for iterative optimization.The localization performance of the proposed method and two-stage weighted least squares(TSWLS)and other methods were compared by computer simulation under near and far field conditions,respectively.The simulation experiments showed that the proposed algorithm had good localization effect on both near-field and far-field targets,and it had strong ability to adapt to the high-noise environment and high localization accuracy.

关 键 词：无源定位 时差频差无源定位 拉格朗日乘子 高斯牛顿迭代 约束加权最小二乘 

分 类 号：TN95[电子电信—信号与信息处理] TP2[电子电信—信息与通信工程]