修正钟差的脉冲星方位误差估计算法

为克服时钟钟差对脉冲星方位误差估计的影响, 设计了两步卡尔曼滤波(two-stage Kalman filter, TSKF)算法。首先, 分析时钟钟差对脉冲星方位误差估计的影响, 并通过仿真进行验证。其次, 结合脉冲星方位误差估计原理重新推得考虑时钟钟差的状态和观测方程。再次, 根据TSKF算法, 在估计方位误差的同时解耦估计时钟钟差。最后, 仿真结果显示, 当钟差导致传统算法估计偏差较大时, TSKF算法依然能有效抑制钟差的影响, 使赤经和赤纬误差估计精度均保持在0.1 mas以内。

Pulsar position error estimation algorithm with corrected clock error

In order to overcome the influence of clock error on pulsar position error estimation,a two-stage Kalman filter(TSKF)algorithm is designed.Firstly,the influence of the clock error on the estimation of pulsar position error is analyzed and verified by simulation.Secondly,combined with the principle of pulsar position error estimation,the state and observation equations of the clock error are considered again.Thirdly,according to the TSKF algorithm,when estimating the position error,the clock error is decoupled.Finally,the simulation results show that when the clock error causes the traditional algorithm to estimate a large deviation,the TSKF algorithm can still effectively suppress the influence of the clock error,so that the accuracy of right ascension and declination error estimation are both kept within 0.1 mas.