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.
Similar content being viewed by others
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
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
Ding W, Wang J (2011) Precise velocity estimation with a stand-alone GPS receiver. J Navig 64(02):311–325. doi:10.1017/S0373463310000482
Hoffmann-Wellenhof B, Lichtenegger H, Collins J (1992) Global positioning system: theory and practice. Springer, Berlin, Heidelberg, New York
Horemuz M, Andersson JV (2006) Polynomial interpolation of GPS satellite coordinates. GPS Solut 10(1):67–72
Kaplan ED, Hegarty J (2006) Understanding GPS: principles and applications, 2nd edn. Artech House, Norwood
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
Author information
Authors and Affiliations
Corresponding author
Additional information
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.
Electronic supplementary material
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10291-014-0425-1