GNSS positioning algorithms using methods of reference point indicators

• Autorzy: Oszczak, B.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Global Positioning System; satellite navigation systems; radio navigation; navigation; aircraft navigation; marine navigation; least square approximation; linear approximation; reference point indicator

• Czasopismo: Artificial Satellites : Journal of Planetary Geodesy
• Rocznik: 2014
• Tom: Vol. 49, No. 1
• Strony: 21--32
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Oszczak, B.

• 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

Bibliografia

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• B. Oszczak "New algorithm for GNSS positioning using system of linear equations", in Proc. of the ION GNSS+ 2013, Nashville, Tennessee, September 17-20.
• B. Oszczak "Algorytm wyznaczania współrzednych punktu i dodatkowej niewiadomej z zastosowaniem układów równań liniowych (Algorithm for determination of the coordinates and additional unknown using linear equations)", Scientific Bulletin, Ed. Air Force Academy, 2012, No. 2, Deblin, pp. 163-167.
• B.W.Parkinson, J.J. Spilker Jr., "GPS error analysis" in Global Positioning System. Theory and Applications. 1996, Ed. American Institute of Navigation and Astronautics, Washington, Vol 1, pp. 469-483.
• B. Oszczak, E. Sitnik “The Algorithm for Determining the Coordinates of a Point in ThreeDimensional Space by Using the Auxiliary Point". Artificial Satellites. Volume 48, Issue 4, Pages 141-145, ISSN (Online) 2083-6104, ISSN (Print) 0208-841X, DOI: 10.2478/arsa-2013-0012, December 2013.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).

Identyfikatory

DOI

10.2478/arsa-2014-0002