基于约束总体最小二乘的单站TDOA-FDOA定位算法

Single-Observer TDOA-FDOA Location Based on Constrained Total Least Squares

针对利用基于外辐射源的单站定位目标问题,提出了一种基于约束总体最小二乘(CTLS)的TDOA-FDOA联合定位算法。首先构建TDOA和FDOA的观测方程,通过引入目标到观测站的距离及其变化率作为冗余参量,将观测方程线性化。然后考虑方程中各项系数的误差及冗余参量与待估参量之间的函数关系,将定位问题建立为CTLS模型,并利用拉格朗日乘数法求解。最后推导了算法的克拉美罗界和理论误差。通过仿真实验证明了算法的有效性。

To solve the single-observer passive location estimation using illuminators of opportu- nity, a jointing the time differences of arrival （TDOAs） and frequency differences of arrival （FDOAs） location algorithm based on constrained total least squares （CTLS） is proposed. Firstly, the TDOA and FDOA measurement equations are constructed, and the equations by in- troducing the distance from the target to the observer and change rate are linearized as additional variables. Considering the errors in the equations and the relationship between the additional variables and the unknown parameters of interest, the location problem is established as the CTLS model, and then Lagrange multiplier method is applied to solve the CTLS model. Finally, the Cramer-Rao lower bound （CRLB） and theoretical error of the proposed algorithm are also derived. Simulation results show the validity of the algorithm.