Expression of GNSS Positioning Error in Terms of Distance
Abstract
This manuscript analyzes two methods for Global Navigation Satellite System positioning error determination for positioning performance assessment by calculation of the distance between the observed and the true positions: one using the Cartesian 3D rectangular coordinate system, and the other using the spherical coordinate system, the Cartesian reference frame distance method, and haversine formula for distance calculation. The study shows unresolved issues in the utilization of position estimates in geographical reference frame for GNSS positioning performance assessment. Those lead to a recommendation for GNSS positioning performance assessment based on original WGS84-based GNSS position estimates taken from recently introduced data access from GNSS software-defined radio (SDR) receivers.
References
[2] EUROCONTROL, IfEN. WGS 84 Implementation Manual. Bruxelles, Belgium: Eurocontrol, Munich, Germany: Institute of Geodesy and Navigation (IfEN), University FAF; 1998. Available from: http://bit.ly/2cvJHc4 [Accessed January 29, 2018].
[3] Filjar R, Desic S, Huljenic D. Satellite Positioning for LBS: A Zagreb Field Positioning Performance Study. The Journal of Navigation. 2004;57(3): 441-447. Available from: doi:10.1017/S0373463304002851 [Accessed January 29, 2018].
[4] Oxley A. Uncertainties in GPS Positioning: A mathematical discourse. London, UK: Academic Press/Elsevier; 2017.
[5] Sinott R W. Virtues of true position. Sky and Telescope. 1984;68: 159.
[6] Filić M, Filjar R, Ruotsalainen L. An SDR-based Study of Multi-GNSS Positioning Performance During Fast-eveloping Space Weather Storm. TransNav. 2016;10: 395-400. Available from: doi:10.12716/1001.10.03.03, http://bit.ly/2fxAvph [Accessed on January 29, 2018].
[7] GNSS Raw Measurements Task Force. Using GNSS Raw Measurements on Android Devices. Prague, Czechia: European Global Navigation Satellite Systems Agency. Available from: http://bit.ly/2jaddWU [Accessed on January 29, 2018].
[8] Vincenty T. Direct and inverse solutions of geodesics on the ellipsoid with application of nested equations. Survey Review. 1975;XXII(176): 88-93.
[9] R Development Core Team. R: A language and environment for statistical computing. Vienna, Austria: R Foundation for Statistical Computing; 2011. Available from: http://www.R-project.org/ [Accessed on January 29, 2018].
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