Relationship between navigation vertical error, VDOP, and pseudo-range error in GPS

Author

Leva, J.L.

Author_Institution

Mitre Corp., Bedford, MA

Volume

30

Issue

4

fYear

1994

fDate

10/1/1994 12:00:00 AM

Firstpage

1138

Lastpage

1142

Abstract

At a specified position and time, vertical position error is related to satellite ranging errors by the relationship Z=VDOP*URE where URE is the user range equivalent error, VDOP is the vertical dilution of precision, and Z is the vertical position error. This relationship is developed and it is shown that it is statistically correct even when position and time are variables. Expressions are given for the density, cumulative distribution, and standard deviation of Z in terms of the distributions of VDOP and URE. Vertical position error is investigated at several locations and the results compared with published work. A simple method for converting VDOP distributions to distributions of vertical accuracy as an alternative to computer simulation is presented

Keywords

computational complexity; digital simulation; error statistics; position control; radionavigation; satellite relay systems; statistical analysis; VDOP; computer simulation; cumulative distribution; density; navigation vertical error; pseudo-range error; satellite ranging errors; standard deviation; user range equivalent error; vertical dilution; vertical position error; Clocks; Computer errors; Computer simulation; Distribution functions; Equations; Geometry; Global Positioning System; Mathematics; Satellite navigation systems; Solid modeling;

fLanguage

English

Journal_Title

Aerospace and Electronic Systems, IEEE Transactions on

Publisher

ieee

ISSN

0018-9251

Type

jour

DOI

10.1109/7.328790

Filename

328790