Fast Position and Velocity Determination for Pulsar Navigation Using NML and LSM

LIU Jin; WU Jin; XIONG Ling; FANG Jiancheng; LIU Gang

doi:10.1049/cje.2017.09.005

Volume 26 Issue 6

Turn off MathJax

Article Contents

Article Navigation > Chinese Journal of Electronics > 2017 > 26(6): 1325-1329

LIU Jin, WU Jin, XIONG Ling, et al., “Fast Position and Velocity Determination for Pulsar Navigation Using NML and LSM,” Chinese Journal of Electronics, vol. 26, no. 6, pp. 1325-1329, 2017, doi: 10.1049/cje.2017.09.005

Citation:

LIU Jin, WU Jin, XIONG Ling, et al., “Fast Position and Velocity Determination for Pulsar Navigation Using NML and LSM,” Chinese Journal of Electronics, vol. 26, no. 6, pp. 1325-1329, 2017, doi: 10.1049/cje.2017.09.005

Citation:

PDF( 245 KB)

Fast Position and Velocity Determination for Pulsar Navigation Using NML and LSM

doi: 10.1049/cje.2017.09.005

1.
College of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan 430081, China;
2.
School of Instrumentation Science and Opto-electronics Engineering, Beihang University, Beijing 100191, China

Funds: This work is supported by the National Natural Science Foundation of China (No.61501336, No.61104191), the State Key Program of National Natural Science Foundation of China (No.61233005), and the National Basic Research Program of China (No.2014CB744202).

More Information

Corresponding author: WU Jin (corresponding author) was born in Wuhu, China, in 1967. She received the Ph.D. degree in pattern recognition and intelligent system from Huazhong University of Science and Technology in 2006.(Email:471854385@qq.com)
Received Date: 2014-05-07
Rev Recd Date: 2015-01-15
Publish Date: 2017-11-10

Abstract

Abstract

To reduce the computational cost, a Fast position and velocity joint determination (FPVD) method based on the Near-maximum likelihood (NML) and the Least square method (LSM) is proposed for X-ray pulsar navigation. Considering the fact that the Doppler effects caused by the velocity of the spacecraft alters the X-ray pulse Time-of-arrival (TOA), we adopt the NML to obtain multi-TOAs, and then utilize the LSM to estimate the variation of TOAs instead of the pulsar profile distortion adopted by the Maximum-likelihood (ML) estimation method. Finally, according to the variation value and TOAs, the position and velocity information of the spacecraft are calculated. The simulation results have demonstrated that the FPVD method is far faster than the ML estimation method, and its accuracy approaches the CramerRao lower bound (CRLB).
- Velocity determination,
- Pulsar,
- Maximum likelihood,
- Least square method

FullText(HTML)

References(13)

References

A.A. Emadzadeh and J.L. Speyer, "X-ray pulsar-based relative navigation using epoch folding", IEEE Transactions on Aerospace and Electronic Systems, Vol.47, No.4, pp.2317-2328, 2011.

J. Liu, J.C. Fang, Z.W. Kang, et al., "Novel algorithm for X-ray pulsar navigation against Doppler effects", IEEE Transactions on Aerospace and Electronic Systems, Vol.51, No.1, pp.228-241, 2015.

J. Liu, J.C. Fang, Z.H. Yang, et al., "Star selection strategy using measurement coupling matrix in starlight Doppler-based integrated navigation system", Proceedings of the Institution of Mechanical Engineers, Part G:Journal of Aerospace Engineering, Vol.230, No.6, pp.1114-1125, 2016.

H. Zhang, L.P. Xu, Y. Shen, et al., "A new maximum-likelihood phase estimation method for X-ray pulsar signals", Journal of Zhejiang University Science C, Vol.15, No.6, pp.458-469, 2014.

A.A. Emadzadeh and J.L. Speyer, "Relative navigation between two spacecraft using X-ray pulsars", IEEE Transactions on Control Systems Technology, Vol.19, No.5, pp.1021-1035, 2011.

S. Rinauro, S. Colonnese and G. Scarano, "Fast near-maximum likelihood phase estimation of X-ray pulsars", Signal Processing, Vol. 93, No.1, pp. 326-331, 2013.

R. Golshan and S. Sheikh, "On pulse phase estimation and tracking of variable celestial X-ray sources", Proc. of the Institute of Navigation, San Diego, CA, United States, pp.101-109, 2008

N. Ashby and R. Golshan, "Minimum uncertainties in position and velocity determination using X-ray photons from millisecond pulsars", Proc. of ION NTM 2008, San Diego, CA, United States, pp.110-118, 2008.

H. Zhang and L.P. Xu, "An improved phase measurement method of integrated pulse profile for pulsar", Science China:Technological Sciences, Vol.54, No.9, pp.2273-2270, 2011.

H. Zhang, L.P. Xu and Q.H. Xie, "Modeling and Doppler measurement of X-ray pulsar", Science China:Physics, Mechanics & Astronomy, Vol.54, No.6, pp.1068-1076, 2011.

Q. Xie, L.P. Xu, H. Zhang, et al., "Doppler estimation of X-ray pulsar signals based on profile feature", Journal of Astronautics, Vol.33, No.9, pp.1301-1307, 2012.

W.W. Dennis, "The use of X-ray pulsars for aiding GPS satellite orbit determination", Master Thesis, Air Force Institute of Technology, USA, 2005.

F.J. Lu, "The hard X-ray modulation telescope (HXMT):Mission and its current status", AAPPS Bulletin, Vol.19, No.2, pp.36-38, 2009.

Relative Articles

Supplements(0)

Cited By

Proportional views