正交多项式在GPS数据处理中的应用

APPLICATIONS OF ORTHOGONAL POLYNOMIALS IN GPS DATA PROCESSING

讨论几种不同的正交多项式在GPS数据处理中的应用。在GPS数据处理中 ,对相位观测值周跳的解算及卫星轨道坐标的拟合推算 ,切比雪夫多项式是比较好的算法之一。提出了另 3种可以用于解算周跳及卫星轨道坐标拟合的正交多项式 ,并利用实测数据进行了解算 ,取得与切比雪夫多项式相同的结果。

In this paper,some orthogonal polynomials used in GPS data processing is studied. For determination of cycle slips of GPS phase measurements and calculation of satellite orbital coordinates in GPS data processing the Chebyshev polynomial is a good method.In addition,other 3 orthogonal polynomials for determining the cycle slips and calculating the satellite orbital coordinates are proposed.A practical resolution of some measured data with these polynomials has been done and the results are the same as with Chebyshev polynomial.