Title :
Efficient solution and performance analysis of 3-D position estimation by trilateration
Author :
Manolakis, Dimitris E.
Author_Institution :
Hellenic Air Force Acad., Athens, Greece
fDate :
10/1/1996 12:00:00 AM
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;
Journal_Title :
Aerospace and Electronic Systems, IEEE Transactions on
