Browse > Article
http://dx.doi.org/10.5139/IJASS.2012.13.4.499

GPS Output Signal Processing considering both Correlated/White Measurement Noise for Optimal Navigation Filtering  

Kim, Do-Myung (Chungnam National University)
Suk, Jinyoung (Chungnam National University)
Publication Information
International Journal of Aeronautical and Space Sciences / v.13, no.4, 2012 , pp. 499-506 More about this Journal
Abstract
In this paper, a dynamic modeling for the velocity and position information of a single frequency stand-alone GPS(Global Positioning System) receiver is described. In static condition, the position error dynamic model is identified as a first/second order transfer function, and the velocity error model is identified as a band-limited Gaussian white noise via non-parametric method of a PSD(Power Spectrum Density) estimation in continuous time domain. A Kalman filter is proposed considering both correlated/white measurements noise based on identified GPS error model. The performance of the proposed Kalman filtering method is verified via numerical simulation.
Keywords
GPS Error Modeling; Power Spectral Density; Correlated Measurement Noise; Kalman filter;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Change No. 1 to RTCA/DO-208, RTCA paper no. 479-93/TMC-106, RTCA Inc.,Washington, DC, 1993.
2 Y. Bian, "GPS signal selective availability modeling and simulation for FAA WAAS IV&V," ION GPS-95, pp. 761-769, 1995.
3 X. Kong, "GPS Modeling in Frequency Domain," Proc. of the 2nd International Conference on Wireless broadband and Ultra Wideband Communications, 2007.
4 S. Khoomboon, T. Kasetkasem, R. Keinprasit, N. Sugino, "Increase a standalone GPS positioning accuracy by using a proximity sensor," Proc. of the International Conference on ECTI-CON, pp. 584-587, 2010.
5 A. Gelb "Applied optimal estimation," The MIT Press, Cambridge, 1974.
6 A. E. Jr. Bryson, L. J. Henrikson "Estimation using sampled data containing sequentially correlated noise," Journal of Spacecraft and Rockets, Vol. 5, Issue 6, pp. 662-665, 1968.   DOI
7 R. G. Brown and P. Y. C. Hwang, Introduction to Random Signals and Applied Kalman Filtering, Second Edition, John Wiley & Sons, Inc, 1992
8 M. G. Petovello, K. O'Keefe, G. Lachapelle, M. E. Cannon, "Consideration of time-correlated errors in a Kalman filter applicable to GNSS," Journal of Geodesy, Volume 83, Issue 1, pp. 51-56, 2009.   DOI
9 R. GAZIT, "Digital Tracking Filters with High Order Correlated Measurement Noise," IEEE Transactions on Aerospace and Electronic Systems, Vol. 33, Issue 1, pp. 171- 177, 1997.   DOI   ScienceOn
10 J. S. Kim, Linear Control System Engineering, Choungmoongak, Inc, 2001.
11 J. S. Bendat and A. G. Piersol, Random Data: Analysis & Measurement Procedures, Third Edition, John Wiley & Sons, Inc, 1986.
12 D. Simon, Optimal State Estimation, Wiley-Interscience, 2006.