电光与控制, 2015, 22 (12): 93, 网络出版: 2015-12-18
基于约束总体最小二乘方法的联合TDOA/GROA信号源定位算法
A Source Localization Algorithm Using TDOA/GROA Measurements Based on CTLS
信号源定位 到达时间差 到达增益比 约束总体最小二乘 牛顿迭代 source localization time difference of arrival gain ratio of arrival constrained total least-square Newton iterative method
摘要
为了提高无源定位的准确度,提出一种基于约束总体最小二乘(CTLS)的联合到达时间差(TDOA)和到达增益比(GROA)的定位算法。首先联合TDOA/GROA测量值建立伪线性方程,考虑到伪线性方程中系数噪声的相关性,采用CTLS方法对其进行建模,用拉格朗日乘子法和牛顿迭代法联合求解。仿真结果表明,噪声比较小时,该方法逼近克拉美-罗(CRLB)下限。在噪声比较大时,相比两步加权最小二乘方法具有更好的定位准确度。随着参数c/w的增大,该算法的定位均方误差也要小于两步加权最小二乘方法。
Abstract
In order to improve the accuracy of passive localization,a localization algorithm using the Time Difference of Arrival (TDOA) and Gain Ratio of Arrival (GROA) measurements is proposed based on Constrained Total Least-Square algorithm (CTLS).Firstly,a pseudo linear equation is established by using TDOA/GROA measurements.Taking the correlation of coefficient noise in pseudo linear equation into consideration,CTLS method is used for modeling,Lagrange multipliers together with the Newton iterative method are used for solution.Simulation results show that: 1) When the noise is relatively low,the proposed method approximates the lower limit of CRLB; 2) When the noise is higher,the proposed method offers better localization accuracy compared with the two-step WLS method; and 3) With the increase of parameter c/w,the localization mean square error of this proposed algorithm is also less than that of the two-step WLS method.
刘艳芳, 杨育捷. 基于约束总体最小二乘方法的联合TDOA/GROA信号源定位算法[J]. 电光与控制, 2015, 22(12): 93. LIU Yan-fang, YANG Yu-jie. A Source Localization Algorithm Using TDOA/GROA Measurements Based on CTLS[J]. Electronics Optics & Control, 2015, 22(12): 93.