GPS Single Point Positioning Algorithm Based on Least Squares

Abstract

In our daily life, we need to get the accurate location information by GPS(Global Positioning System) receiver, GPS system is based on pseudo-range measurement, and there is four unknown parameter, but the navigation observation equation is nonlinear. The nonlinear equation can be solved by least squares iterative algorithm, the algorithm is based on linearization by Taylor model. The paper gives an overview of nonlinear least squares method, and presents GPS satellite pseudo-range observation equations by true GPS receiver, the simulation results show that weighted least squares iterative algorithm is simple, fast, and accurate, the localization error can meet the demands of positioning accuracy.