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Mathematical models for positioning

  • Bernhard Hofmann-Wellenhof
  • Herbert Lichtenegger
  • James Collins

Abstract

The code pseudorange at an epoch t can be modeled, cf. Eq. (6.2), by
$$ R\begin{array}{*{20}{c}} j \\ i \end{array}(t) = e\begin{array}{*{20}{c}} j \\ i \end{array}(t) + c\Delta \delta \begin{array}{*{20}{c}} j \\ i \end{array}(t) $$
(8.1)
Here, R i j (t) is the measured code pseudorange between the observing site i and the satellite j, ϱ i j (t) is the geometric distance between the satellite and the observing point, and c is the speed of light. The last item to be explained is △δ i j (t) . This clock bias represents the combined clock offsets of the satellite and the receiver clock with respect to GPS time, cf. Eq. (6.1).

Keywords

Carrier Phase Satellite Clock Integer Ambiguity Basic Configuration Receiver Clock 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag/Wien 1997

Authors and Affiliations

  • Bernhard Hofmann-Wellenhof
    • 1
  • Herbert Lichtenegger
    • 1
  • James Collins
    • 2
  1. 1.Abteilung für Positionierung und NavigationTechnische Universität GrazGrazAustria
  2. 2.GPS Services, Inc.RockvilleUSA

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