Abstract
Using the timing information of pulsar signal for autonomous navigation of spacecraft in deep space has the vital significance, the accurate timing model (period and period derivation) is the foundation of achieving high precision auto-navigation solution. Both \( \chi^{2} \) assessment method and Lomb algorithm are analyzed, the idea is brought forward that the initial value of pulsar period is gained using the \( \chi^{2} \) assessment method, then the result of period is refined by Lomb algorithm. Meanwhile, the Lomb algorithm is ameliorated using by the idea of FFT algorithm, the efficiency of operation is advanced highly. Finally the exact pulsar period is estimated and correct pulse profile is replicated using the algorithms and the measured timing data from the X-ray source simulated system.
Keywords
- Pulsar navigation
- Period search
- Profile replicate
- Lomb algorithm
- FFT
This is a preview of subscription content, access via your institution.
Buying options
References
Woodfork, D. W. (2005). The use of x-ray pulsars for aiding GPS satellite orbit determination. Air Force Institute of Technology, Ohio, Degree of Master of Science in Astronautical Engineering.
Mao, Y. (2009). Research on X-ray pulsar navigation algorithms. Zhengzhou, Henan: PLA Information Engineering University, Zhengzhou.
Sheikh, S. I. (2005). The use of variable celestial x-ray sources for spacecraft navigation. Maryland, MD: University of Maryland, Maryland, Department of Aerospace Engineering.
Burns, W. R., & Clark, B. G. (1969). Pulsar search techniques. Journal of Astronomy and Astrophysics, 2, 280–287.
Ransom, S. M. (2001). New search Techniques for binary Pulsars. Newland, NC: Harvard University, Newland.
Li, J. X. (2008). Theoretical research on timing and autonomous positioning based on X-ray pulsar. Xi’an, Shaanxi: Xi’an polytechnic university, Xi’an.
Su, Z., Wang, Y., Xu, L. p., et al. (2010). A new pulsar Integrates pulse profile recognition algorithm. Journal of Astronautics, 31(6), 1563–1568.
Li, J. X., & Ke, X. Z. (2008). A cumulation method on pulsar stand profile based on Wavelet-Modulus-Maxima correlation information. Acta Astronomica Sinica, 49(4), 394–402.
Lynne, A., & Graham-Smith, F. (2005). Pulsar astronomy. London, England: Cambridge University Press.
Press, W. H., Teukolsky, S. A, Vetterling, W. T. et al. (2007). Numerical Recipes: the art of scientific computing (3rd ed.). London, England: Cambridge University Press.
Hu, G. (2009). Numeric signal processing. Beijing, China: Tsing University Press.
Lomb, N. R. (1976). Least-square frequency analysis of unequally spaced data. Astrophysics and Space Science, 39, 447–462.
Scargle, J. D. (1989). Studies in astronomical time series analysis II-statistical aspects of spectral analysis of unevenly spaced data. Astrophysical Journal, 338, 277–280.
Korenberg, M. J., & Brenan, C. J. (1997). Raman spectral estimation via fast orthogonal search. Analyst, 122(9), 879–882.
Jian, N. C., Wang, G. L., Li, J. L., & Zhang, B. (2006). A study about the formational Mechanism of Fake Signals in Spectrum Analysis of Unevenly Sampled Data from VLBI Measurements. Acta Astronomica Sinica, 47(3), 336–347.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag GmbH Berlin Heidelberg
About this paper
Cite this paper
Zhou, Q., Ren, H., Wu, F., Ji, J., Zhai, Z., Ban, B. (2012). The Quick Search Algorithm of Pulsar Period Based on Unevenly Spaced Timing Data. In: Sun, J., Liu, J., Yang, Y., Fan, S. (eds) China Satellite Navigation Conference (CSNC) 2012 Proceedings. Lecture Notes in Electrical Engineering, vol 159. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29187-6_57
Download citation
DOI: https://doi.org/10.1007/978-3-642-29187-6_57
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-29186-9
Online ISBN: 978-3-642-29187-6
eBook Packages: EngineeringEngineering (R0)