Research on Satellite Positioning Based on Total Least Squares Algorithm

Abstract

In the technology of satellite positioning, positioning observation equation is constructed by measuring pseudo distance between the satellite and the receiver and the satellite position coordinates from navigation message, then the equation is solved and positioning results are obtained. The algorithm proposed in this paper is to use total least squares method to calculate initial value, and then someone carry out the Taylor series expansion on the basis of it, and then use weighted least squares in the iterative process to get the calculation results. Finally, user positioning is achieved. The algorithm is simulated by using observation series of Fangshan GNSS station in Beijing, and the simulation results are compared with the results obtained by the least squares algorithm. The results show that the satellite positioning algorithm based on total least squares is more accurate and faster in positioning calculation.