Publisher : The Korean Society for Aeronautical & Space Sciences
DOI : 10.5139/IJASS.2012.13.4.499
Title & Authors
GPS Output Signal Processing considering both Correlated/White Measurement Noise for Optimal Navigation Filtering Kim, Do-Myung; Suk, Jinyoung;
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.
Change No. 1 to RTCA/DO-208, RTCA paper no. 479-93/TMC-106, RTCA Inc.,Washington, DC, 1993.
Y. Bian, "GPS signal selective availability modeling and simulation for FAA WAAS IV&V," ION GPS-95, pp. 761-769, 1995.
X. Kong, "GPS Modeling in Frequency Domain," Proc. of the 2nd International Conference on Wireless broadband and Ultra Wideband Communications, 2007.
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.
A. Gelb "Applied optimal estimation," The MIT Press, Cambridge, 1974.
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.
R. G. Brown and P. Y. C. Hwang, Introduction to Random Signals and Applied Kalman Filtering, Second Edition, John Wiley & Sons, Inc, 1992
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.
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.
J. S. Kim, Linear Control System Engineering, Choungmoongak, Inc, 2001.
J. S. Bendat and A. G. Piersol, Random Data: Analysis & Measurement Procedures, Third Edition, John Wiley & Sons, Inc, 1986.
D. Simon, Optimal State Estimation, Wiley-Interscience, 2006.