考虑站址误差的稳健TDOA定位算法

Robust Source Localization Using TDOA with Receiver Location Errors

针对现有定位算法非线性运算多,误差易传递,且存在缺秩矩阵,致使算法稳健性低、定位精度差的问题,本文提出一种站址误差条件下基于误差校正的时差定位算法。首先通过引入辅助变量伪线性化时差定位方程,并利用加权最小二乘初步估计目标位置;接着利用辅助变量与目标位置之间的非线性函数关系,构建并求解关于目标位置误差的定位方程,对目标位置初估值进行线性校正,最终得到更为精确的估计结果。理论性能分析表明在噪声较小时,所提算法能够达到克拉美罗下界,且相比于现有定位算法具有更高的定位精度和定位稳健性。仿真结果验证了所提算法具有更好的定位性能。

Considering the problem that the existing localization methods have many nonlinear operations,which makes the error easy to transfer,and have rank-deficient matrix,which leads to weak robustness and low location accuracy,this paper proposes a time difference of arrival(TDOA)localization method based on error correction under the condition of sensor location error.Firstly,the location equation was pseudo-linearized by introducing nuisance variable,and the weighted least squares(WLS)method was used to obtain the initial estimate of the target location.Then,the nonlinear function relation between the nuisance variable and the target location was used to construct and solve the equation about the target location error,and the initial estimated target position was rectified linearly to obtain a more accurate final estimation result.Theoretical analysis showed that the proposed method can reach Cramer-Rao lower bound(CRLB)when the noise is weak,and has higher location accuracy and robustness than the existing localization methods.Simulation results showed that the proposed method has better performance.