存在站址误差时的线性校正TDOA定位算法

TDOA localization with linear-correction in the presence of sensor position errors

针对到达时间差定位中接收传感器位置信息含有随机误差这一问题,提出了一种线性校正到达时间差定位算法.首先通过引入中间变量将非线性时差定位方程转化为伪线性方程,并利用加权最小二乘估计求得目标位置的初始解;接着通过求解初始位置估计的误差对目标位置初始解进行线性校正,得到目标位置更为精确的最终估计.仿真结果验证了所提算法具有较好的定位性能.

This paper considers the problem of locating a source using time difference of arrival （TDOA） measurements obtained at spatially distributed sensors in the presence of sensor position errors. A linear-correction TDOA localization algorithm that involves closed-form weighted least squares （WLS） optimization only is developed. The proposed method first converts nonlinear TDOA equations into pseudo-linear ones by introducing an intermediate variable and obtains the initial source position estimate using the WLS technique. Then a linear- correction method is applied to improve the initial localization result by estimating and subtracting its positioning error. Simulation results demonstrate the good performance of the proposed method.