散射体位置扰动条件下约束总体最小二乘单站定位方法

A single observer location method under the scatter signals position disturbance situation:the constraint total least square method

非视距条件下的单站定位过程中,需借助散射体位置估计被测目标的位置,而对散射体位置的估计不可避免地要引入误差,因此在散射体位置扰动条件下对被测目标位置的估计方法研究是十分必要的.文中从系统总体误差入手,将定位的最优化问题转化为具有约束条件的极值求解问题.利用约束最小二乘方法将该极值问题等价为无约束条件的极值求解问题,最后采用Newton迭代方法来求解最优点.仿真结果验证了文中算法的有效性.

A target position can be estimated using position information from scattered signals in the nonline-of-sight propagation environment in a single observer location system.There is always an error in the final estimated result of the position obtained using scatter signals because measurement noise is inevitable.To reduce the total error of the system,we propose a method of converting the problem of optimizing location into a one of solving the extremes of the constraints.And the problem of how to solve the extremes of the constraints is converted into an unconstrained problem by using the constrained total least squares（CTLS） method.Finally,the Newton iteration method is used to obtain the optimized solution.Simulation results also verify the capability of this method.