Efficient solution and performance analysis of 3-D position estimation by trilateration

Author

Manolakis, Dimitris E.

Author_Institution

Hellenic Air Force Acad., Athens, Greece

Volume

32

Issue

4

fYear

1996

fDate

10/1/1996 12:00:00 AM

Firstpage

1239

Lastpage

1248

Abstract

A new exact, explicit, and computationally efficient solution for three-dimensional (3-D) position estimation based on range measurements from three stations is proposed. The simple polynomial-type form of the new algorithm facilitates the performance analysis. Formulae are provided for both the variance and the bias of the position estimates. The systematic error is a joint effect of both the measurement noise and the system nonlinearity and its magnitude cannot be ignored if highly accurate localization is required. Performance evaluation results are presented for various conditions

Keywords

aerospace computing; aircraft navigation; approximation theory; computational complexity; distance measurement; height measurement; measurement errors; monitoring; performance evaluation; polynomials; position measurement; signal processing; state estimation; 3D position estimation; accurate localization; aircraft height monitoring; computationally efficient solution; joint effect; measurement noise; performance analysis; performance evaluation; polynomial-type form; position estimates; range measurements; system nonlinearity; trilateration; Aircraft; Argon; Closed-form solution; Force measurement; Military computing; Monitoring; Noise measurement; Nonlinear equations; Performance analysis; Polynomials; Position measurement;

fLanguage

English

Journal_Title

Aerospace and Electronic Systems, IEEE Transactions on

Publisher

ieee

ISSN

0018-9251

Type

jour

DOI

10.1109/7.543845

Filename

543845