Sensors 2012, 12(3), 2561-2581; doi:10.3390/s120302561
Article

Error Estimation for the Linearized Auto-Localization Algorithm

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Received: 6 January 2012; in revised form: 17 February 2012 / Accepted: 20 February 2012 / Published: 24 February 2012
(This article belongs to the Special Issue Sensorial Systems Applied to Intelligent Spaces)
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: The Linearized Auto-Localization (LAL) algorithm estimates the position of beacon nodes in Local Positioning Systems (LPSs), using only the distance measurements to a mobile node whose position is also unknown. The LAL algorithm calculates the inter-beacon distances, used for the estimation of the beacons’ positions, from the linearized trilateration equations. In this paper we propose a method to estimate the propagation of the errors of the inter-beacon distances obtained with the LAL algorithm, based on a first order Taylor approximation of the equations. Since the method depends on such approximation, a confidence parameter τ is defined to measure the reliability of the estimated error. Field evaluations showed that by applying this information to an improved weighted-based auto-localization algorithm (WLAL), the standard deviation of the inter-beacon distances can be improved by more than 30% on average with respect to the original LAL method.
Keywords: auto-localization; auto-calibration; local positioning systems; differential sensitivity analysis; uncertainty propagation
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MDPI and ACS Style

Guevara, J.; Jiménez, A.R.; Prieto, J.C.; Seco, F. Error Estimation for the Linearized Auto-Localization Algorithm. Sensors 2012, 12, 2561-2581.

AMA Style

Guevara J, Jiménez AR, Prieto JC, Seco F. Error Estimation for the Linearized Auto-Localization Algorithm. Sensors. 2012; 12(3):2561-2581.

Chicago/Turabian Style

Guevara, Jorge; Jiménez, Antonio R.; Prieto, Jose Carlos; Seco, Fernando. 2012. "Error Estimation for the Linearized Auto-Localization Algorithm." Sensors 12, no. 3: 2561-2581.

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