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Time-differenced carrier phases technique for precise GNSS velocity estimation

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Abstract

Classically, a stand-alone GNSS receiver estimates its velocity by forming the approximate derivative of consecutive user positions or more often by using the Doppler observable. The first method is very inaccurate, while the second one allows estimation of the order of some cm/s. The time-differenced carrier phase (TDCP) technique, which consists in differencing successive carrier phases, enables accuracies at the mm/s level. A study on the existing TDCP velocity estimation algorithms has revealed that the use of different broadcast ephemeris sets to calculate the satellite positions and clock offsets produces a discontinuity in the TDCP measurements that affects the velocity estimation. We propose a method to overcome this limitation based on the use of the same set of ephemeris to calculate the satellite positions and clock offsets at consecutive epochs. We describe in detail the TDCP algorithm used, and the complete implementation in MATLAB is included.

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References

  • Angrisano A, Gioia C, Gaglione S, del Core G (2013a) GNSS reliability testing in signal-degraded scenario. Int J Navig Obs. doi:10.1155/2013/870365

    Article  Google Scholar 

  • Angrisano A, Gaglione S, Gioia C, Massaro M, Troisi S (2013b) Benefit of the NeQuick Galileo Version in GNSS single-point positioning. Int J Navig Obs. doi:10.1155/2013/302947

    Article  Google Scholar 

  • Ding W, Wang J (2011) Precise velocity estimation with a stand-alone GPS receiver. J Navig 64(02):311–325. doi:10.1017/S0373463310000482

    Article  Google Scholar 

  • Hoffmann-Wellenhof B, Lichtenegger H, Collins J (1992) Global positioning system: theory and practice. Springer, Berlin, Heidelberg, New York

    Book  Google Scholar 

  • Horemuz M, Andersson JV (2006) Polynomial interpolation of GPS satellite coordinates. GPS Solut 10(1):67–72

    Article  Google Scholar 

  • Kaplan ED, Hegarty J (2006) Understanding GPS: principles and applications, 2nd edn. Artech House, Norwood

    Google Scholar 

  • Kouba J (2009) A guide to using international GNSS service (IGS) products. International GNSS Journal. http://igscb.jpl.nasa.gov/igscb/

  • Serrano L, Kim D, Langley R B, Itani K, Ueno M (2004) A GPS velocity sensor: How accurate can it be? A first look. In: Proc. ION NTM 2004, Institute of Navigation, San Diego, California, 26–28 January, pp 875–885

  • Van Graas F, Soloviev A (2003) Precise velocity estimation using a stand-alone GPS receiver. In: Proc. ION NTM 2003, Institute of Navigation, Anaheim, California, 22–24 January, pp 283–292

  • Wendel J, Meister O, Moenikes R, Trommer GF (2006) Time-differenced carrier phase measurements for tightly coupled GPS/INS integration. In: Proc. IEEE/ION PLANS 2006, San Diego, California, 25–27 April, pp 54–60

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Correspondence to Pierluigi Freda.

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The GPS Tool Box is a column dedicated to highlighting algorithms and source code utilized by GPS engineers and scientists. If you have an interesting program or software package you would like to share with our readers, please pass it along; e-mail it to us at gpstoolbox@ngs.noaa.gov. To comment on any of the source code discussed here, or to download source code, visit our website at http://www.ngs.noaa.gov/gps-toolbox. This column is edited by Stephen Hilla, National Geodetic Survey, NOAA, Silver Spring, Maryland, and Mike Craymer, Geodetic Survey Division, Natural Resources Canada, Ottawa, Ontario, Canada.

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Freda, P., Angrisano, A., Gaglione, S. et al. Time-differenced carrier phases technique for precise GNSS velocity estimation. GPS Solut 19, 335–341 (2015). https://doi.org/10.1007/s10291-014-0425-1

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  • DOI: https://doi.org/10.1007/s10291-014-0425-1

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