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Polynomial interpolation of GPS satellite coordinates

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Abstract

This article describes an algorithm for polynomial interpolation of GPS satellite coordinates and its implementation in MATLAB. The algorithm is intended for real-time processing software and computes the position and velocity of GPS satellites from both broadcast and precise ephemerides. Tests with different orders of polynomials, and with different time spans used for polynomial fitting, show suitable settings with respect to the required interpolation precision.

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Acknowledgments

We are thankful to the Swedish Research Council for Environment, Agricultural Sciences and Spatial Planning, FORMAS, for sponsoring this research within the framework of “Monitoring of construction and detection of movements by GPS ref no. 2002-1257”.

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Authors and Affiliations

  1. Division of Geodesy, Royal Institute of Technology, Drottning Kristinas vag 30, Stockholm, Sweden

    Milan Horemuž

  2. Department of Infrastructure, Royal Institute of Technology, Drottning Kristinas vag 30, Stockholm, Sweden

    Milan Horemuž & Johan Vium Andersson

Authors
  1. Milan Horemuž
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  2. Johan Vium Andersson
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Correspondence to Milan Horemuž.

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Horemuž, M., Andersson, J.V. Polynomial interpolation of GPS satellite coordinates. GPS Solut 10, 67–72 (2006). https://doi.org/10.1007/s10291-005-0018-0

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  • DOI: https://doi.org/10.1007/s10291-005-0018-0

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