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A statistical characterization of the Galileo-to-GPS inter-system bias

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Abstract

Global navigation satellite system operates using independent time scales and thus inter-system time offsets have to be determined to enable multi-constellation navigation solutions. GPS/Galileo inter-system bias and drift are evaluated here using different types of receivers: two mass market and two professional receivers. Moreover, three different approaches are considered for the inter-system bias determination: in the first one, the broadcast Galileo to GPS time offset is used to align GPS and Galileo time scales. In the second, the inter-system bias is included in the multi-constellation navigation solution and is estimated using the measurements available. Finally, an enhanced algorithm using constraints on the inter-system bias time evolution is proposed. The inter-system bias estimates obtained with the different approaches are analysed and their stability is experimentally evaluated using the Allan deviation. The impact of the inter-system bias on the position velocity time solution is also considered and the performance of the approaches analysed is evaluated in terms of standard deviation and mean errors for both horizontal and vertical components. From the experiments, it emerges that the inter-system bias is very stable and that the use of constraints, modelling the GPS/Galileo inter-system bias behaviour, significantly improves the performance of multi-constellation navigation.

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References

  • Afifi A, El-Rabbany A (2015) An improved model for single-frequency gps/galileo precise point positioning. Positioning 6:7–21

    Article  Google Scholar 

  • Allan DW (1966) Statistics of atomic frequency standards. Proc. IEEE 54(2):221–230. doi:10.1109/PROC.1966.4634

    Article  Google Scholar 

  • Borio D, Gioia C, Mitchison N (2015) Identifying a low-frequency oscillation in Galileo IOV pseudorange rates. GPS Solut. doi:10.1007/s10291-015-0443-7

  • Bregni S (1997) Clock stability characterization and measurement in telecommunications. IEEE Trans Instrum Meas 46(6):1284–1294

    Article  Google Scholar 

  • Bregni S (2002) Synchronization of digital telecommunications networks. Wiley, New York

  • Brown RG, Hwang PYC (1996) Introduction to random signals and applied kalman filtering. Wiley, New York

  • Cernigliaro A, Valloreia S, Galleani L, Tavella P (2013) GNSS space clocks: performance analysis. In: Proceedings of the international conference on localization and GNSS (ICL-GNSS), pp 1–5 (2013). doi:10.1109/ICL-GNSS.2013.6577251

  • Dierendonck AJV, McGraw B, Brown RG (1984) Relationship between Allan variances and kalman filter parameters. In: Proceedings of the sixteenth annual precise time and time interval (PTTI) applications and planning meeting. Greenbelt, MD (1984)

  • European Union: European GNSS (Galileo) Open service signal in space interface control document. OS SIS IC 1.1, European Union (2010)

  • Gioia C (2014) GNSS navigation in difficult environments: hybridization and reliability. Ph.D. thesis, University Parthenope of Naples, Naples

  • Gioia C, Borio D, Angrisano A, Gaglione S, Fortuny J (2015) A Galileo IOV assessment: measurement and position domain. GPS Solut 19:187–199. doi:10.1007/s10291-014-0379-3

    Article  Google Scholar 

  • Gioia C, Pisoni F, Fortuny J: Estimation of the GPS to Galileo time offset and its validation on a mass market receiver. In: 7th ESA workshop on GNSS signals and signal processing (NAVITEC) (2014)

  • Hahn J (2013) Galileo and coordinated universal time leap seconds. ITU News

  • Hahn JH, Powers ED (2007) A report on GPS and Galileo time offset coordination efforts. Tech. report, joint 21st EFTF and FCS (2007)

  • Hewitson S, Wang J (2004) Impact of dynamic information on GNSS receiver integrity monitoring. In: International Symposium on GNSS/GPS. Sydney, Australia (2004)

  • International Committee on Global Navigation Satellite Systems : GNSS Timescale Description. Tech. rep., United Nations Office for Outer Space Affairs (2012)

  • Kaplan ED, Hegarty C (2005) Understanding GPS: principles and applications, 2nd edn. Artech House, Norwood

    Google Scholar 

  • Klobuchar JA (1987) Ionospheric time-delay algorithm for single-frequency GPS users. Ionospheric time-delay algorithm for single-frequency GPS users. IEEE Trans Aerospace Electron Syst AES- 23(N. 3), 325–331 (1987)

  • Lindsey WC, Chie CM (1976) Theory of oscillator instability based upon structure functions. Proc. IEEE 64(12):1652–1666. doi:10.1109/PROC.1976.10408

    Article  Google Scholar 

  • Navstar GPS Directorate (2012) Global positioning systems directorate systems engineering & integration interface specification IS-GPS-200. Tech. rep, Navstar GPS Directorate

  • O’Driscoll C, Lachapelle G, Tamazin ME (2010) Investigation of the benefits of combined GPS/GLONASS receivers in urban environments. In: 5th ESA workshop on GNSS signals and signal processing, (NAVITEC). Royal Institute of Navigation, London (2010)

  • Parkinson B, Spilker J, Axelrad P, Enge P (1996) Global positioning system: theory and applications, vol I. American Institute of Aeronautics and Astronautics, Washington D.C

    Book  Google Scholar 

  • Paziewski J, Wielgosz P (2015) Accounting for Galileo-GPS inter-system biases in precise satellite positioning. J Geod 89:81

    Article  Google Scholar 

  • Piriz R, Mozo A, Tobias G, Fernandez V, Tavella P, Sesia I, Cerretto G, Hahn J (2008) GNSS interoperability: offset between reference time scales and timing biases. Metrologia 45:87–102

  • Sastamoinen J (1993) Contribution to the theory of atmospheric refraction, part II refraction correction in satellite geodesy. Bull Geod 107:13–34

    Article  Google Scholar 

  • U.S. Department of Defense, U.S. Department of Homeland Security and U.S. Department of Transportation: 2008 federal radionavigation plan (2008) Tech. rep., U.S. Department of Defense, U.S. Department of Homeland Security and U.S. Department of Transportation. DOT-VNTSC-RITA-08-02/DoD-4650.5 (2008)

  • Vanschoenbeek I, Bonhoure B, Boschetti M, Legenne J (2007) GNSS time offset effects on GPS-Galileo interoperability performance. Inside GNSS 5:60–70

    Google Scholar 

  • Xu G (2003) GPS: theory. Algorithms and applications. Springer, Berlin

    Google Scholar 

Download references

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Authors and Affiliations

  1. Piksel S.p.A., Milano, Italy

    Ciro Gioia

  2. European Commission, Joint Research Centre (JRC), Institute for the Protection and Security of Citizen (IPSC), Security Technology Assessment (STA) Unit, Ispra (VA), Italy

    Daniele Borio

Authors
  1. Ciro Gioia
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  2. Daniele Borio
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Correspondence to Ciro Gioia.

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Gioia, C., Borio, D. A statistical characterization of the Galileo-to-GPS inter-system bias. J Geod 90, 1279–1291 (2016). https://doi.org/10.1007/s00190-016-0925-6

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  • DOI: https://doi.org/10.1007/s00190-016-0925-6

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