基于总体最小二乘算法的多站无源定位

Multi-Station Passive Location Based on TLS Algorithm

将总体最小二乘算法应用于多站无源定位中,分别提出了基于角度估计的总体最小二乘算法,基于时差估计的总体最小二乘算法以及基于角度和时差估计的总体最小二乘算法。算法首先把非线性的观测方程转化为伪线性的观测方程,然后构造增广矩阵,并对该矩阵进行奇异值分解即可估计出目标位置,因此无需迭代计算或者获得目标位置的粗略估计,仿真结果表明该算法具有较高的定位精度。

The total least squares （TLS） algorithm is applied to multi-station passive location, the TLS algorithm based on DOA, TDOA and DOA jointed TDOA are presented. Firstly the nonlinear observation equation is transformed into pseudo-linear observation equation, then the target location can be estimated by singular value decomposition （SVD） for the matrix constructed without iterative calculations or rough estimation for target location ,the computer simulation confirms the algorithm has better performance.