Availability of the certain value of position error in the navigational systems – model application

• Autorzy: Specht C.
• Języki publikacji: EN

Abstrakty

EN

The distributions and parameters of the random variable (density functions, distribution functions, expected values, variances, moments etc.), which in navigation is represented by position error, are well defined. This approach is similar like in geodesy, where passing time hasn’t any impact on statistical solution. Presented paper evaluates alternative approach to position error analyses, where the random values are: working and failures times of the system. Arbitrary accepted certain value of position error was assumed as a decision criterion of the system for working state definition. The general mathematical model of the availability of certain value of position error is presented and the special case – exponential distributions of lifetimes and failure times model – was also analysed. The model was adopted for positioning based on EGNOS system measurements and some results are present.

Słowa kluczowe

EN

safety of navigation; accuracy; position error; navigational system; positioning system; mathematical model; EGNOS; marine navigation

• Wydawca: Faculty of Navigation, Gdynia Maritime University
• Czasopismo: TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
• Rocznik: 2007
• Tom: Vol. 1, no. 4
• Strony: 365--368
• Opis fizyczny: Bibliogr. 5 poz., wykr.

Twórcy

autor

Specht C.

• Polish Naval Academy of Gdynia, Poland

Bibliografia

• 1. Barlow R. E., Proshan F. 1975. Statistical Theory of Reliability and Life Testing, Holt, Rinehart and Winston, inc., USA.
• 2. Global Positioning System Standard Positioning Service, Performance Standard, Assistant Secretary of Defense, 2001.
• 3. Hofmann-Wellenhof B., Legat K., Wieser M. 2003. Navigation: Principles of Positioning and Guidance, Sprinter-Verlag, Vien.
• 4. Ober P.B. 1999. Designing Integrity into Position Estimation, Proceedings of the 3rd European Symposium on Global Navigation Satellite Systems – GNSS’99, Genova, Italy.
• 5. Specht C. 2003. Availability, Reliability nad Contiunuity Model of Differential GPS Transmission, Polish Academy of Sciences, Annual of Navigation no 5.