总体最小二乘波达方向估计方法

Total Least Squares Method for Direction of Arrival Estimation

在到达时间差定位技术中,当传感器位置坐标存在误差时,最小二乘法(LS)所得估计值不再具有最优无偏性,导致测向精度下降。针对该问题,提出基于总体最小二乘的测向方法。将非线性的观测方程转化为伪线性方程,构成增广矩阵并对其进行奇异值分解,从而得到目标位置。理论分析和仿真结果表明,与经典的LS法和 LS-Tylar法相比,该方法的定位精度较高。

In the Time Difference of Arrival(TDOA) positioning technology,when the position coordinates of the sensor have errors,the estimated value obtained by the Least Squares(LS) method no longer has the best unbiasedness,resulting in a decrease in the direction finding accuracy.Aiming at this problem,a direction finding method based on Total Least Squares(TLS) is proposed.By transforming the nonlinear observation equation into pseudo-linear equation,the augmented matrix is constructed and the singular value decomposition is carried out to achieve the target position.Theoretical analysis and simulation results show that this method is more accurate than the classical LS method and LS-Tylar method.