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航空学报  2013 

传感器位置误差条件下的约束总体最小二乘时差定位算法

DOI: 10.7527/S1000-6893.2013.0060, PP. 1165-1173

Keywords: 目标定位,传感器位置误差,约束总体最小二乘,到达时差,牛顿迭代方法

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Abstract:

现代定位系统中,传感器往往被安放在运动平台上,其位置无法精确得知,存在估计误差,将严重影响对目标的定位精度。针对这一问题,提出基于约束总体最小二乘(CTLS)的到达时差(TDOA)定位算法。首先通过引入中间变量,将非线性TDOA定位方程转化为伪线性方程,再利用CTLS技术,全面考虑伪线性方程所有系数中的噪声。在此基础上推导了定位方程的目标函数,再根据牛顿迭代方法,进行数值迭代,快速得到精确解。采用一阶小噪声扰动分析方法,对该算法的理论性能进行了分析,证明了算法的无偏性和逼近克拉美-罗下限(CRLB)。仿真实验表明,该算法克服了现有总体最小二乘(TLS)算法不能达到CRLB、两步加权最小二乘(two-stepWLS)算法在较高噪声时性能发散的缺陷,在较高噪声时定位精度仍然能达到CRLB。

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