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.