A Graphic Representation of the Necessary Condition for the MAFA Method

Author

Cellmer, Slawomir

Author_Institution

Fac. of Geodesy & Land Manage, Univ. of Warmia & Mazury in Olsztyn, Olsztyn, Poland

Volume

50

Issue

2

fYear

2012

Firstpage

482

Lastpage

488

Abstract

The modified ambiguity function approach (MAFA) is one of the integer least square estimation methods. Although it is a simple and efficient method, it has a significant limitation. This limitation is formulated and analyzed in this paper. A graphical representation of the necessary condition for the MAFA method is presented by plots of Voronoi cells and error ellipsoids, along with a detailed procedure for constructing these plots. It is shown that the necessary condition for the MAFA method is not satisfied in some cases. To overcome this problem, a solution is presented in the final section of this paper.

Keywords

computational geometry; least squares approximations; satellite navigation; signal processing; MAFA Method; Voronoi cells; error ellipsoids; graphical representation; integer least square estimation method; modified ambiguity function approach; Accuracy; Covariance matrix; Ellipsoids; Equations; Global Positioning System; Mathematical model; Satellites; Data processing; Global Positioning System (GPS); error analysis; geodesy; mean-square-error methods;

fLanguage

English

Journal_Title

Geoscience and Remote Sensing, IEEE Transactions on

Publisher

ieee

ISSN

0196-2892

Type

jour

DOI

10.1109/TGRS.2011.2161321

Filename

5979155