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

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.