修正钟差的脉冲星方位误差估计算法

doi:10.12305/j.issn.1001-506X.2021.03.24

Abstract

Abstract:

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.

Key words: position error, clock error, Kalman filter, two-stage filtering

CLC Number:

Yongqiang XIAO, Hongli WANG, Lei FENG, Sihai YOU, Yiyang HE, Qiang XU. Pulsar position error estimation algorithm with corrected clock error[J]. Systems Engineering and Electronics, 2021, 43(3): 789-795.

Figures/Tables 12

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References 34

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脉冲星参数	参数值
赤经/(°)	83.63
赤纬/(°)	22.01
距离/kpc	2.0
P/ms	33.4
W/ms	1.7
F_x/(ph·cm^-2·s^-1)	1.54
p_f/%	70

卫星轨道参数	参数值
半长轴/km	7 460
离心率	4.55×10^-16
轨道倾角/(°)	25
近地点幅角/(°)	45
升交点赤经/(°)	0
初始真近地点/(°)	30
起始时间	2015-7-1T12-00-00

钟差(×10^-6)/s	未修正钟差的估计偏差/mas	TSKF估计偏差/mas
1	(2.940, 21.090)	(0.002, 0.013)
2	(4.760, 34.070)	(0.005, 0.034)
3	(6.580, 46.870)	(0.007, 0.062)
4	(8.410, 59.960)	(0.008, 0.063)
5	(10.230, 74.920)	(0.010, 0.092)
6	(12.050, 85.890)	(0.012, 0.101)
7	(13.870, 98.890)	(0.014, 0.124)
8	(15.690, 111.790)	(0.015, 0.125)
9	(17.510, 124.740)	(0.019, 0.150)
10	(19.330, 137.660)	(0.020, 0.160)

钟差(×10^-6)/s	TSKF估计偏差/mas	ASKF估计偏差/mas
2	(0.005, 0.034)	(0.005, 0.031)
5	(0.010, 0.092)	(0.008, 0.086)
10	(0.020, 0.160)	(0.020, 0.139)

A₀(×10^-6)/s	B₀(×10^-6)/s	TSKF估计偏差/mas
1	1	(0.015, 0.048)
2	1	(0.021, 0.057)
1	2	(0.019, 0.061)
2	2	(0.036, 0.077)

Pulsar position error estimation algorithm with corrected clock error

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