| Citation: | XIAO Yongqiang, WANG Hongli, FENG Lei, et al. Two-step Kalman filter algorithm for pulsar position error estimation[J]. Journal of Beijing University of Aeronautics and Astronautics, 2021, 47(7): 1446-1452. doi: 10.13700/j.bh.1001-5965.2020.0201(in Chinese)
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A Two-Step Kalman Filter (TSKF) algorithm is designed to overcome the influence of clock error and satellite position error on pulsar position error estimation. First, the traditional model of pulsar position error estimation is introduced, and it is confirmed by analysis that the clock error, satellite position error, and both errors will have serious impact on the estimation. Second, the clock error and satellite position error are added to the traditional estimation model, and the clock error and its rate of change are expanded to a new state quantity, thereby deducing a new model of pulsar position error estimation containing these two errors. And its observability is proved through theoretical analysis. Then the update equation of the TSKF algorithm is written combined with the new model and based on the two-step Kalman filter principle. Finally, simulations show that the TSKF algorithm can effectively isolate the influences of the two errors and make the estimation accuracy kept within 0.2 mas while the traditional pulsar position error estimation algorithm has a large deviation and divergence of the right ascension and declination errors under the influence of the two errors.
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XU Q, FAN X H, XU L G, et al. TSKF algorithm for pulsar position error estimation[J]. Journal of Beijing University of Aeronautics and Astronautics, 2020, 46(4): 761-768(in Chinese). doi: 10.13700/j.bh.1001-5965.2019.0288
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