The geometrical factors of a navigational systems

• Autorzy: Banachowicz A. , Banachowicz G. , Wolski A.
• Konferencja: Geodetic and Geodynamic Programmes of the CEI (Central European Initiative) / Proceedings of the EGU G6 Symposium (02-07. 04. 2006 ; Vienna, Austria)
• Języki publikacji: EN

Abstrakty

EN

Vessels engaged in coastal navigation must have their position determined with high accuracy. This can be ensured only by satellite systems such as GPS and GLONASS. The paper presents generalized concepts of geometrical factors of a navigational system. Such factors are used in the analysis of the accuracy of various radionavigational systems aimed at selecting the best system for a given area. The modern process of navigation is described in a four-dimensional space - three geometric dimensions and time. For this reason both the description and analysis of navigational systems should be performed in the same space. The traditional geometric factor of the land-based radionavigational system was generalised to include the factors GDOP, PDOP, HDOP, VDOP and TDOP for the needs of the accuracy analysis of a GPS system. These terms are related to the so-called geometry of navigational system - through mutually related positions of gradients of navigational functions determining position Iines (hyperplanes). They are connected with non-Iinear regression through a probabilistic relation between the measured navigational parameters. Consequently, the concept of geometric factors in the process of navigational parameters estimation can be also extended to include a larger number of dimensions appropriate for the state vector.

Słowa kluczowe

EN

navigational systems; satellite positioning; GPS; Global Positioning System; DGPS; maritime navigation

PL

systemy nawigacyjne; pozycjonowanie satelitarne; GPS; system pozycjonowania obiektów; DGPS; nawigajca morska

• Wydawca: Wydział Geodezji i Kartografii Politechniki Warszawskiej
• Czasopismo: Reports on Geodesy
• Rocznik: 2006
• Tom: z. 1/76
• Strony: 261--267
• Opis fizyczny: Bibliogr. 1 poz., rys., tab., wykr.

Twórcy

autor

Banachowicz A.

autor

Banachowicz G.

autor

Wolski A.

• Maritime University of Szczecin, Poland

Bibliografia

• 1. Banachowicz A., "Generalizing the Coefficient of the Geometric Navigational System", Journal of Research AMW No 2, 1989. pp. 5-17 (in Polish).
• 2. Banachowicz A., "Geometry of Linear Model of Parametric Navigation", Journal of Research AMW No 109A, Gdynia, 1991 (in Polish).
• 3. Banachowicz A., "Application of Covariance Matrix for Calculating Elements of Ellipse and Elippsoid of Errors", Journal of Research AMW No 2, Gdynia, 1991. pp. 17-24 (in Polish).
• 4. Banachowicz A., "Relationships Between the Matrix of Parametric Navigation Geometry and the Fisher's Information Matrix", Geodezja i Kartografia nr 1, 1993. pp. 3-11 (in Polish).
• 5. Banachowicz A., "Methods of Optimization of Position Hypersurface Configurations", Journal of Research AMW No 2, Gdynia, 1993. pp. 5-15 (in Polish).
• 6. Banachowicz A., "The Emburdening of the Position Coordinates Evaluations for the Parametrical Navigation Linear Model in Case of Using a Minimum Number of Measurements", Journal of Research AMW No 4, Gdynia, 1993. pp. 5-17 (in Polish).
• 7. Banachowicz A., "The Effect of Matrix Elements of System Geometry on the Accuracy of the Hyperbolic Navigational System Position Coordinates", Annual of Navigation. No 4, 2002. pp.13-19.
• 8. Demidovich B.P., Maron I.A., "Computational Mathematics" Mir Publishers, Moscow 1987.
• 9. Kovach K., Conley R., "SATZAP: A Novel Approach to GPS Integrity", Navigation: Journal of The Institute of Navigation, Vol. 38, No 2, Summer 1991.
• 10. Mertikas S., Wells D., "Treatment of Navigational Accuracies: Proposals for the Future", Navigation: Journal of The Institute of Navigation. Vol. 32, No 1, Spring 1985.
• 11. Teunissen P.J.G., de Jonge C.D., Tiberius C.C.J.M., "The Volume of the GPS Ambiguity Search Space and its Relevance for Integer Ambiguity Resolution", Proceedings ION GPS'96, Kansas City, USA, 17-20 September 1996. pp. 889-898.
• 12. Teunissen P.J.G., Odijk D., de Jonge C.D., "Ambiguity Dilution of Precision: An Additional Tool for GPS Quality Control", Proceedings The Eleventh Biennial International Symposium of The Hydrographic Society, Special Publication No 39, University of Plymouth UK, 5-7 January 1999. pp. 19-1 - 19-10.