基于约束加权最小二乘的时差频差联合定位算法  

Constrained Weighted Least-Squares Algorithm for Moving Source Location Using TDOA and FDOA Measurements

作　　者：朱华进 张洋 鄂嵋 禹华钢 

机构地区：[1]解放军91469部队 [2]海军司令部军务部 [3]解放军91033部队

出　　处：《电讯技术》2013年第4期395-401,共7页Telecommunication Engineering

基　　金：国家高技术研究发展计划(863计划)项目(2010AA7010422)~~

摘　　要：针对运动目标源定位问题,提出了一种基于约束加权最小二乘(Constrained Weighted Leas-tSquares,CWLS)的时差频差定位算法。该算法利用目标源到达多个接收站的时差和频差信息,对目标源的位置和速度进行估计。通过引入中间变量,将时差频差非线性方程转换成伪线性方程(中间变量与目标源位置和速度之间存在约束关系),再对此约束条件引入拉格朗日乘子技术,将此伪线性方程的求解转化为求条件极值问题,创造性地求解了此非线性定位方程,提高了定位精度,并能满足实时性和全局收敛要求。仿真实验表明,该算法在保持相近复杂度的同时,进一步提高了定位性能,优于两步加权最小二乘算法,在噪声较高时仍然能达到克拉美罗下限。By utilizing the time difference of arrival （TDOA） and frequency difference of arrival （FDOA） mea- surements of a signal received at a number of receivers, a constrained weighted least-squares （CWLS） algorithms for estimating the position and velocity of a moving source is proposed. By utilizing the Lagrange multipliers technique, the known relation between the intermediate variables and the source location coordinates can be ex- ploited to constrain the solution. And, on basis of convolute and polynomial rooting operations, the Lagrange multipliers can be obtained efficiently and robustly, which can allow real-time implementation as well as ensure global convergence. Simulation results show that the proposed estimator achieves remarkably better performance than the two-step weighted least squares（WLS） approach especially for higher measurement noise level, which makes the Crmn^r-Rao lower bound（CRLB） at a sufficiently high noise level before the threshold effect occurs possible.

关 键 词：目标源定位 约束加权最小二乘 到达时差 到达频差 拉格朗日乘子技术 

分 类 号：TN97[电子电信—信号与信息处理] V556[电子电信—信息与通信工程]