<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The GNSS standard positioning solution determines the coordinates of the GNSS receiver and the receiver clock offset from measurements of at least four pseudoranges. For GNSS positioning, a direct solution was derived for five and ten observed satellites without linearisation of the observation equations and application of the least squares method. The article presents the basic principles of methods for solving the positioning problem, the formulas and their derivation. The numerical examples with simulated pseudorange data confirm the correct performance of the proposed algorithm. The presented algorithms should be further tested with real measurements in other domains of positioning and navigation as well.</p></abstract>

The GNSS standard positioning solution determines the coordinates of the GNSS receiver and the receiver clock offset from measurements of at least four pseudoranges. For GNSS positioning, a direct solution was derived for five and ten observed satellites without linearisation of the observation equations and application of the least squares method. The article presents the basic principles of methods for solving the positioning problem, the formulas and their derivation. The numerical examples with simulated pseudorange data confirm the correct performance of the proposed algorithm. The presented algorithms should be further tested with real measurements in other domains of positioning and navigation as well.

GNSS positioning algorithms using methods of reference point indicators

Department of Satellite Geodesy and Navigation Faculty of Geodesy and Land Management University of Warmia and Mazury in Olsztyn, Poland Department of Aircraft Navigation Polish Air Force Academy in Deblin, Poland

Artificial Satellites

{"article-title":"GNSS positioning algorithms using methods of reference point indicators"}

The GNSS standard positioning solution determines the coordinates of the GNSS receiver and the receiver clock offset from measurements of at least four...

GNSS positioning algorithms using methods of reference point indicators

Published Online: Mar 25, 2014

Page range: 21 - 32

DOI: https://doi.org/10.2478/arsa-2014-0002

Keywords
Global Positioning System, Satellite Navigation Systems, Radio Navigation, Navigation, Aircraft Navigation, Marine Navigation, Least Squares Approximation, Linear Approximation, Reference Point Indicator

This content is open access.

GNSS positioning algorithms using methods of reference point indicators

Published Online: Mar 25, 2014

Page range: 21 - 32

DOI: https://doi.org/10.2478/arsa-2014-0002

KeywordsGlobal Positioning System, Satellite Navigation Systems, Radio Navigation, Navigation, Aircraft Navigation, Marine Navigation, Least Squares Approximation, Linear Approximation, Reference Point Indicator

This content is open access.

Keywords
Global Positioning System, Satellite Navigation Systems, Radio Navigation, Navigation, Aircraft Navigation, Marine Navigation, Least Squares Approximation, Linear Approximation, Reference Point Indicator