一种用于BDS-3接收机的分段Hermite插值方法

针对卫星导航定位过程中卫星位置、速度解算耗时高的问题,提出了一种用于北斗三号卫星导航系统（BDS-3）接收机的分段Hermite插值方法. 该方法首先推导了BDS-3卫星速度、加速度解算公式,然后分别构造卫星位置、速度的分段三次Hermite插值多项式. 所提方法在不增加运算复杂度的情况下,提升了卫星速度插值精度,同时公式简单、便于编程. 采用作者单位自研接收机对所提方法插值精度、效率进行了验证,同时对比了Hermite插值、分段三次Hermite插值和分段五次Hermite插值. 

A piecewise Hermite interpolation method for BDS-3 receiver

In order to speed up the time-consuming computation of satellite position and velocity in the process of satellite navigation and positioning, a piecewise Hermite interpolation method for BDS-3 receiver is proposed. This method first derives the velocity and acceleration formulas of BDS-3 satellite, and then constructs a piecewise cubic Hermite interpolation polynomial of satellite position and velocity, respectively. The proposed method improves the satellite velocity interpolation accuracy without increasing the computational complexity, and the formula is simple and easy to program. The self developed receiver of our company was used to verify the accuracy and efficiency of the proposed method, compared with Hermite interpolation,piecewise cubic Hermite interpolation and piecewise quintic Hermite interpolation.