Table of Contents
International Journal of Navigation and Observation
Volume 2008, Article ID 261384, 8 pages
http://dx.doi.org/10.1155/2008/261384
Research Article

GPS Composite Clock Analysis

Analytical Graphics, Inc., 220 Valley Creek Blvd, Exton 19341, PA, USA

Received 30 June 2007; Accepted 6 November 2007

Academic Editor: Demetrios Matsakis

Copyright © 2008 James R. Wright. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. T. W. Anderson, “The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities,” Proceedings of the American Mathematical Society, vol. 6, no. 2, pp. 170–176, 1955. View at Publisher · View at Google Scholar
  2. K. R. Brown, “The theory of the GPS composite clock,” in Proceedings of the 4th International Technical Meeting of the Satellite Division of the Institute of Navigation (ION GPS '91), pp. 223–241, Albuquerque, NM, USA, September 1991. View at Google Scholar
  3. R. S. Bucy and P. D. Joseph, Filtering for Stochastic Processes with Applications to Guidance, Interscience, New York, NY, USA, 1968.
  4. W. Feess, “The Aerospace Corporation,” 2006, private Communications. View at Google Scholar
  5. R. J. Gardner, “The Brunn-Minkowski inequality,” Bulletin of the American Mathematical Society, vol. 39, no. 3, pp. 355–405, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. C. A. Greenhall, 2006-2007, private Communications.
  7. C. A. Greenhall, “A Kalman filter clock ensemble algorithm that admits measurement noise,” Metrologia, vol. 43, no. 4, pp. S311–S321, 2006. View at Publisher · View at Google Scholar
  8. S. T. Hutsell, “Relating the hadamard variance to MCS Kalman filter clock estimation,” in Proceedings of the 27th Annual Precise Time and Time Interval (PTTI) Applications and Planning Meeting, p. 293, San Diego, Calif, USA, December 1995. View at Google Scholar
  9. R. E. Kalman, “New methods in wiener filtering theory,” in Proceedings of the 1st Symposium on Engineering Applications of Random Function Theory and Probability, J. L. Bogdanoff and F. Kozin, Eds., John Wiley & Sons, New York, NY, USA, 1963. View at Google Scholar
  10. D. Matsakis, November 2007, private Communication.
  11. J. S. Meditch, Stochastic Optimal Linear Estimation and Control, McGraw-Hill, New York, NY, USA, 1969.
  12. O. J. Oaks, T. B. McCaskill, M. M. Largay, W. G. Reid, and J. A. Buisson, “Performance of GPS on-orbit NAVSTAR frequency standards and monitor station time references,” in Proceedings of the 30th Annual Precise Time and Time Interval (PTTI) Meeting, pp. 135–143, Reston, Va, USA, December 1998. View at Google Scholar
  13. E. Powers, 2006, private Communications.
  14. W. Riley, December 2006, private Communications, PTTI meeting.
  15. S. Sherman, “A theorem on convex sets with applications,” The Annals of Mathematical Statistics, vol. 26, no. 4, pp. 763–767, 1955. View at Google Scholar
  16. S. Sherman, “Non-mean-square error criteria,” IEEE Transactions on Information Theory, vol. 4, no. 3, pp. 125–126, 1958. View at Google Scholar
  17. E. M. Stein and R. Shakarchi, Real Analysis, Princeton University Press, Princeton, NJ, USA, 2005.
  18. J. R. Wright, “Sherman's theorem,” in The Malcolm D. Shuster Astronautics Symposium (AAS '05), Grand Island, NY, USA, June 2005. View at Google Scholar
  19. C. Zucca and P. Tavella, “The clock model and its relationship with the allan and related variances,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 52, no. 2, pp. 289–295, 2005. View at Publisher · View at Google Scholar
  20. J. R. Wright, “GPS composite clock analysis,” in IEEE International Frequency Control Symposium, European Frequency and Time Forum, pp. 523–528, Geneva, Switzerland, June 2007. View at Google Scholar