Abstract: According to the characteristics of high precision related GPS data, the problems which should be paid attention to in the data processing are introduced, and the related symmetry weight function is constructed to improve the quality of data processing and the calculation speed.Through the analysis of the major factors which influence the quality of data processing, the robust estimation model of correlated observation data with outliers is invested and the existing IGIII scheme is improved by constructing the related symmetric weight function to keep the symmetric of the weight matrix.Then a relevant symmetric weight function is constructed to improve the original IGIII scheme, and keep the symmetric of the weight matrix and the corresponding matrix.The results show that the improved algorithm greatly saves the calculating time, ensures the correctness of the model and improves the quality of data processing.

Key words: Quality control, Related symmetric weight function, Robust estimation, Data processing, Gross error