基于Kalman滤波器的卫星钟差预报精度分析

Precision Analysis of Satellite Clock Offset Prediction based on Kalman Filter

Kalman滤波器稳态条件下的卫星钟差预报精度可作为评估星地时间同步性能的重要依据,研究了基于Kalman滤波器的卫星钟差预报精度问题。在卫星钟差包括3阶白噪声情况下,建立了卫星钟差的状态方程和测量方程,利用离散Riccati方程的非递归代数解,得到了Kalman滤波器的稳态解,进一步得到了卫星钟差预报误差,做了典型参数情况下的数值分析。

Prediction errors of Kalman filter of satellite clock offset prediction in steadystate condition is taken as an important aspect for performance evaluation of satellite-ground time synchronization, so prediction precision of satellite clock offset based on Kalman filter is studied. In the case of three order white noise of satellite clock offset, the state equation and the measurement equation of satellite clock offset are established, the closed-form steadystate solution is derived by non-recursive solution for the discrete Riccati equation, then the prediction error of satellite clock offset is derived. Finally numerical calculation is done in the case of typical parameters.