Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-10T08:45:32.220Z Has data issue: false hasContentIssue false
  • English
  • Français

New Characteristics of Geometric Dilution of Precision (GDOP) for Multi-GNSS Constellations

Published online by Cambridge University Press:  15 July 2014

Yunlong Teng  and
Jinling Wang
Yunlong Teng*
Affiliation:
(School of Energy Science and Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan Province, 611731, PR China)
Jinling Wang
Affiliation:
(School of Civil and Environmental Engineering, University of New South Wales, Sydney, NSW 2052, Australia)
*
(E-mail: ylteng@uestc.edu.cn)
Get access Rights & Permissions [Opens in a new window]

Abstract

For multi-Global Navigation Satellite System (GNSS) constellations, the Geometric Dilution of Precision (GDOP) is an important parameter utilised for the selection of satellites. This paper has derived new formulae to describe the change of GDOP. The result shows that, for GNSS single point positioning solutions, if one more satellite belonging to the existing tracked multi-GNSS constellation used in the single point positioning solution is added, the GDOP always decreases with the number of the added satellites. On the other hand, when the constellation of the added satellite is not from the tracked existing constellations, the different numbers of the added satellites have different influences on the change of GDOP. Generally, adding one satellite from another constellation into the existing multi-GNSS constellations will increase the GDOP, but adding two satellites will decrease the GDOP compared with adding one from another constellation. Additionally, the GDOP also increases in the cases of adding two satellites from two different constellations into the tracked existing constellations.

Keywords

Satellite NavigationGNSSConstellationDilution of Precision
Type
Research Article
Information
The Journal of Navigation , Volume 67 , Issue 6 , November 2014 , pp. 1018 - 1028
Copyright
Copyright © The Royal Institute of Navigation 2014 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Blanco-Delgado, N. and Nunes, F. (2010a). A satellite selection method for multi-constellation GNSS using convex geometry. IEEE Transactions on Vehicular Technology, 59(9): 4289–4297.CrossRefGoogle Scholar
Blanco-Delgado, N. and Nunes, F. (2010b). Satellite selection based on WGDOP concept and convex geometry. 2010 5th ESA Workshop on Satellite Navigation Technologies and European Workshop on GNSS Signals and Signal Processing, Noordwijk, Netherlands.CrossRefGoogle Scholar
Choi, M., Blanch, J., Akos, D., Heng, L., Gao, G., Walter, T. and Enge, P. (2011). Demonstrations of multi-constellation advanced RAIM for vertical guidance using GPS and GLONASS signals. Proceedings of the 24th international technical meeting of the satellite division of the institute of navigation, Portland, OR.Google Scholar
Hewitson, S. and Wang, J. (2006). GNSS receiver autonomous integrity monitoring (RAIM) performance analysis. GPS Solutions, 10(3): 155–170.CrossRefGoogle Scholar
Hofmann-Wellenhof, B., Lichtenegger, H. and Walse, E. (2008). GNSS-Global Navigation Satellite Systems-GPS, GLONASS, Galileo & more. SpringerWien, NewYork.Google Scholar
Horn, R. and Johnson, C. R. (2010). Matrix Analysis. Cambridge University Press.Google Scholar
Hotelling, H. (1943a). Some new methods in matrix calculation. The Annals of Mathematical Statistics, 14(1): 1–34.CrossRefGoogle Scholar
Hotelling, H. (1943b). Further points on matrix calculation and simultaneous equations. The Annals of Mathematical Statistics, 14(4): 440–441.CrossRefGoogle Scholar
Kaplan, D. and Hegarty, C. J. (2006). Understanding GPS Principles and Application. Artech House.Google Scholar
Liu, H. T., Shi, Q., Li, G. T. and Wan, J. W. (2006). Performance analysis of GPS and Galileo receivers in urban automatic vehicle location. Proceedings of IEEE/ION PLANS 2006. San Diego, CA.Google Scholar
Liu, J., Lu, M., Cui, C. and Feng, Z. (2007). Theoretical analysis of RAIM in the occurrence of simultaneous two-satellites faults. IET Radar Sonar Navigation, 1(2): 92–97.CrossRefGoogle Scholar
Lundberg, J. B. (2001). Alternative algorithms for the GPS static positioning solution. Applied Mathematics and Computation, 119: 21–34.CrossRefGoogle Scholar
Ong, R. B., Petovello, M. G. and Lachapelle, G. (2009). Assessment of GPS/GLONASS RTK under a variety of operational conditions. Proceedings of the 22nd International Technical Meeting of the Satellite Division of the Institute of Navigation, Savannah, GA.Google Scholar
Sherman, J. and Morrison, W. J. (1949). Adjustment of an inverse matrix corresponding to changes in the elements of a given column or a given row of the original matrix (abstract). The Annals of Mathematical Statistics, 20(2): 621–622.Google Scholar
Sherman, J. and Morrison, W. J. (1950). Adjustment of an inverse matrix corresponding to a change in the elements of a given matrix. The Annals of Mathematical Statistics, 21(1): 124–127.CrossRefGoogle Scholar
Teng, Y. L. and Shi, Y. B. (2012). Clock-based RAIM method and its application in GPS receiver positioning. Journal of Central South University, 19(6), 1558–1563.CrossRefGoogle Scholar
Wang, J. N., Knight, N. and Lu, X. (2011). Impact of the GNSS time offsets on positioning reliability. Journal of Global Positioning Systems, 10(2), 165–172.CrossRefGoogle Scholar
Wang, J. and Ober, P. B. (2009). On the Availability of Fault Detection and Exclusion in GNSS Receiver Autonomous Integrity Monitoring. Journal of Navigation, 62(2), 251–261.CrossRefGoogle Scholar
Wu, C. H., Su, W. H. and Ho, Y. W. (2011). A study on GPS GDOP approximation using support-vector machines. IEEE Transactions on Instrumentation and Measurement, 60(1): 137–145.CrossRefGoogle Scholar
Yang, Y. X. (2009). Chinese geodetic coordinate system 2000. Chinese Science Bulletin, 56(15): 2714–2721.CrossRefGoogle Scholar
Yang, Y. X., Li, J. Z., Xu, J. Y., Tang, J., Guo, H. R. and He, H. B. (2011a). Contribution of the Compass satellite navigation system to global PNT users. Chinese Science Bulletin, 56(26): 2813–2819.CrossRefGoogle Scholar
Yang, Y., Peng, B., Dong, X. R., Fan, L., Liu, L. and Wang, W. (2011b). Performance evaluation method of hybrid navigation constellations with invalid satellites. Science in China Series G: Physics, Mechanics & Astronomy, 54(6): 1046–1050.CrossRefGoogle Scholar
Yarlagadda, R., Ali, I., Al-Dhahir, N. and Hershey, J. (2000). GPS GDOP metric. IEE Proceedings Radar Sonar Navigation, 147(5): 259–264.CrossRefGoogle Scholar
Zhao, C. M., Ou, J. K. and Yuan, Y. B. (2005). Positioning accuracy and reliability of GALILEO, integrated GPS-GALILEO system based on single positioning model. Chinese Science Bulletin, 50(12): 1252–1260.CrossRefGoogle Scholar
Zhang, M. Y., Zhang, J. and Qin, Y. (2008). Satellite selection for multi-constellation. Proceedings of IEEE/ION PLANS 2008, Monterey, CA.Google Scholar