Characterizing positioning errors when using the second-generation Australian satellite-based augmentation system

• Autorzy: Khaki Mehdi , El-Mowafy Ahmed

Identyfikatory

DOI

10.2478/arsa-2020-0001

• Języki publikacji: EN

Abstrakty

EN

Fault detection and exclusion (FDE) is the main task for pre-processing of global navigation satellite system (GNSS) positions and is a fundamental process in integrity monitoring that is needed to achieve reliable positioning for applications such as in intelligent transport systems. A widely used method is the solution separation (SS) algorithm. The FDE in SS traditionally builds the models assuming positioning errors are normally distributed. However, in urban environments, this traditional assumption may no longer be valid. The objective of this study is to investigate this and further examine the performance of alternative distributions, which can be useful for FDE modelling and thus improved navigation. In particular, it investigates characterization of positioning errors using GNSS when the Australian satellite-based augmentation system (SBAS) test bed is used, which comprised different positioning modes, including single-point positioning (SPP) using the L1 global positioning system (GPS) legacy SBAS, the second-generation dual-frequency multi-constellation (DFMC) SBAS service for GPS and Galileo, and, finally, precise point positioning (PPP) using GPS and Galileo observations. Statistical analyses are carried out to study the position error distributions over different possible operational environments, including open sky, low-density urban environment, and high-density urban environment. Significant autocorrelation values are also found over all areas. This, however, is more evident for PPP solution. Furthermore, the applied distribution analyses applied suggest that in addition to the normal distribution, logistic, Weibull, and gamma distribution functions can fit the error data in various cases. This information can be used in building more representative FDE models according to the work environment.

Słowa kluczowe

EN

GNSS; SBAS; error characteristics; urban environment; kinematic positioning

• Wydawca: Centrum Badań Kosmicznych PAN ; De Gruyter
• Czasopismo: Artificial Satellites : Journal of Planetary Geodesy
• Rocznik: 2020
• Tom: Vol. 55, No. 1
• Strony: 1--15
• Opis fizyczny: Bibliogr. 33 poz., tab., wykr.

Twórcy

autor

Khaki Mehdi

• School of Engineering, University of Newcastle, Callaghan, New South Wales, Australia
• School of Earth and Planetary Sciences, Curtin University, Perth, Australia

autor

El-Mowafy Ahmed

• School of Earth and Planetary Sciences, Curtin University, Perth, Australia

Bibliografia

• Ahmad, K.A.B., Sahmoudi, M., Macabiau, C., (2014). Characterization of GNSS Receiver Position Errors for User Integrity Monitoring in Urban Environments. ENC-GNSS 2014, European Navigation Conference, Apr 2014, Rotterdam, Netherlands. <hal - 01160130>.
• Balakrishnan, K. (1996). Exponential Dist: Theory, Methods and Applications. CRC Press.
• Barrios, J., Caro, J., Calle, J.D., Carbonell, E., Rodriguez, I., Romay, M.M., Jackson, R., Reddan, P.E., Bunce, D., Soddu, C., (2017). Australian and New Zealand Second Generation Satellite Positioning Augmentation System Supporting Global SBAS Concept, Proceedings of the 30th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2017), Portland, Oregon, September 2017, pp. 979-996. https://doi.org/10.33012/2017.15243
• Barrios, J., Caro, J., Calle, J.D., Carbonell, E., Pericacho, J.G., Fernandez, G., Esteban, V.M., Fernandez, M.A., Bravo, F., Torres, B., Calabrese, A., Diaz, A., Rodriguez, I., Lainez, M.D., Romay, M.M., Jackson, R., Reddan, P.E., Bunce, D., Soddu, C., (2018). Update on Australia and New Zealand DFMC SBAS and PPP System Results. In proceedings of ION GNSS+ 2018, Miami, Florida, September 24-28, 2018, pp. 1038-1067.
• Birnbaum, Z.W., Saunders, S.C. (1969), A new family of life distributions, Journal of Applied Probability, 6 (2): 319-327, doi:10.2307/3212003.
• Blanch, J., Walter, T., Enge, P., et al., (2015). Baseline advanced RAIM user algorithm and possible improvements, IEEE Transactions on Aerospace and Electronic Systems. 51(1):713-732.
• Braasch, M.S., (1996). Multipath effects, in Global Positioning System: Theory and Applications, vol. 1, B. W. Parkinson and J. J. Spilker, Jr., Eds. Washington, DC, USA: AIAA, ch. 14, pp. 547-568.
• Chakravarti, Laha, Roy, (1967). Handbook of Methods of Applied Statistics, Volume I, John Wiley and Sons, pp. 392-394.
• Cox, D.R., Oakes, D. (1984). Analysis of Survival Data, Chapman & Hall.
• deCani, J.S., Stine, R.A. (1986). A note on deriving the information matrix for a logistic distribution. The American Statistician. American Statistical Association. 40: 220-222. doi:10.2307/2684541.
• CRC.SI Technical report (2017). Technical Specifications Document for Satellite-Based Augmentation System (SBAS) Testbed, The Australia and New Zealand Cooperative Research Centre, Revision 5 10 November 2017, https://www.crcsi.com.au/assets/Program-1/SBASProject/Australia-NZ-Testbed-Technical-Specifications-Rev05.pdf.
• Dawson, J., Amos, M., (2018). Progress Towards a Regional SBAS Service for Australia and New Zealand, Proc. Of the Institute of Navigation, ION GNSS+, Miami, FL, 24-28 Sept, 1-11.
• El-Mowafy, A., Yang, C., (2016). Limited Sensitivity Analysis of ARAIM Availability for LPV-200 over Australia using real data. Advances in Space Research, 57(2): 659-670.
• El-Mowafy, A., (2017). Advanced Receiver Autonomous Integrity Monitoring Using Triple Frequency Data with a Focus on Treatment of Biases. Advances in Space Research, 59(8): 2148-2157.
• Frank, A.H. (1967). Handbook of the Poisson Distribution. New York: John Wiley & Sons.
• Hosking, J.R.M., Wallis, J.R. (1987). Parameter and Quantile Estimation for the Generalized Pareto Distribution. Technometrics. 29 (3): 339-349. doi:10.2307/1269343.
• Imparato, D., El-Mowafy, A., Rizos, C. (2018). Positioning Integrity Monitoring: from Aviation to Land Applications. Multifunctional Operation and Application of GPS. In Tech Publisher, UK, Chapter 2, 23-43.
• Jambunathan, M.V. (1954). Some Properties of Beta and Gamma Distributions. Ann. Math. Stat. 25, 401-405.
• Joanes, A.H., Gill, C.A. (1998). Comparing Measures of Sample Skewness and Kurtosis. The Statistician 47(1): 183-189.
• Johnson, N.L., Kotz, S., Balakrishnan, N. (1994). 14: Lognormal Distributions, Continuous univariate distributions. Vol. 1, Wiley Series in Probability and Mathematical Statistics: Applied Probability and Statistics (2nd ed.), New York: John Wiley & Sons, ISBN 978-0-471-58495-7, MR 1299979.
• Johnson, N.L., Kotz, Samuel, B.N. (1995). Chapter 21: Beta Distributions. Continuous Univariate Distributions Vol. 2 (2nd ed.). Wiley. ISBN 978-0-471-58494-0.
• Khaki, M., Hoteit, I., Kuhn, et al., (2017). Assessing sequential data assimilation techniques for integrating GRACE data into a hydrological model, Advances in Water Resources, Volume 107, Pages 301-316, ISSN 0309-1708, http://dx.doi.org/10.1016/j.advwatres.2017.07.001.
• Laurenson, D. (1994). Nakagami Distribution. Indoor Radio Channel Propagation Modelling by Ray Tracing Techniques. Retrieved 2007-08-04.
• Lawless, J.F. (2003). Statistical Models and Methods for Lifetime Data, 2nd ed., Wiley.
• Lukas, E. (1942) A characterization of the normal distribution. Annals of Mathematical Statistics 13: 91-93.
• Meyer, J. (1987). Two-Moment Decision Models and Expected Utility Maximization. American Economic Review. 77 (3): 421-430.
• Rice, S.O. (1945). Mathematical Analysis of Random Noise. Bell System Technical Journal 24, 46-156.
• Siddiqui, M.M. (1964). Statistical inference for Rayleigh distributions, The Journal of Research of the National Bureau of Standards, Sec. D: Radio Science, 68D(9): 1005-1010.
• Snedecor, G.W., Cochran, William, G. (1989). Statistical Methods, Eighth Edition, Iowa State University Press.
• Spilker, J.J., Axelrad, P., Parkinson, B.W., et al., (1996). Interference effects and mitigation techniques, in Global Positioning System: Theory and Applications, vol. 1, B. W. Parkinson and J. J. Spilker, Jr., Eds. Washington, DC, USA: AIAA, 1996, ch. 20, pp. 717-771.
• Stephens, M.A. (1974). EDF Statistics for Goodness of Fit and Some Comparisons, Journal of the American Statistical Association, 69, 730-737.
• Weibull, W. (1951). A statistical distribution function of wide applicability (PDF), J. Appl. Mech.-Trans. ASME, 18 (3): 293-297.
• Zhu, N., Marais, J., Betaille, D., Berbineau, M. (2018). GNSS Position Integrity in Urban Environments: A Review of Literature, in IEEE Transactions on Intelligent Transportation Systems. 19(9):2762-2778. doi: 10.1109/TITS.2017.2766768

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).