Geometry-Based Doppler Analysis for GPS Receivers

Authors:
Donglin Wang;Michel Fattouche;Fadhel Ghannouchi
Affiliations:
The iRadio Lab, Department of Electrical and Computer Engineering, University of Calgary, Calgary, Canada T2N 1N4;The iRadio Lab, Department of Electrical and Computer Engineering, University of Calgary, Calgary, Canada T2N 1N4;The iRadio Lab, Department of Electrical and Computer Engineering, University of Calgary, Calgary, Canada T2N 1N4
Venue:
Wireless Personal Communications: An International Journal
Year:
2013

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Abstract

In this paper, the Doppler shift due to satellite vehicle motion in Global Positioning System (GPS) is investigated via a computational geometric analysis for a stationary GPS receiver, which resides on the surface of the earth. For an in-plane stationary receiver, the Doppler shift is derived as a function of the satellite vehicle's central angle. For an off-plane stationary receiver, the visible region is calculated as a function of the elevation angle and the Doppler shift is derived as a function of the central angle and of the elevation angle. Also, the difference between the Doppler shift corresponding to an off-plane stationary receiver and the Doppler shift corresponding to an in-plane stationary receiver is calculated.