线性多步预测校正法在GLONASS卫星位置解算中的应用

Application of Linear Multi-Step Forecasting-Correcting Algorithm to Calculate GLONASS Satellite Position

GLONASS卫星位置解算是多系统兼容卫星导航接收机组合定位解算中一项重要的内容,对算法的稳定性、精度和计算量有较高的要求。引入了一种求解GLONASS卫星位置的新方法-Adams线性多步预测校正方法,详细推导了应用此方法进行卫星位置解算的过程。应用实际数据对此算法和四阶龙格-库塔算法进行了对比验证,结果表明:Adams线性多步预测校正方法是一种求解GLONASS卫星位置的有效方法,其稳定度优于四阶龙格-库塔方法,且计算量小。

Calculation of GLONASS satellite position is an important part of multiple systems combined positioning algorithm of the GNSS receiver, which has more demands to algorithm＇s stability, accuracy and computational cost. A new algorithm Adams linear multistep forecasting-correcting algorithm was introduced in this paper. The processes of calculating GLONASS satellite position by the new method were derived. This paper verified the algorithm via the real data compared with the Fourth-Order Runge-Kutta method. The results show that Adams linear multi-step forecasting-correcting algorithm was an effective method to calculate GLONASS satellite position. It was obvious that the stability of the proposed method was superior to the Fourth-Order Runge-Kutta method and the computational cost was low.