Error Estimation for the Linearized Auto-Localization Algorithm

Autor: Fernando Seco, Jose Carlos Prieto, Antonio R. Jiménez, Jorge Guevara
Jazyk: angličtina
Rok vydání: 2012
Předmět:
Zdroj: Sensors, Vol 12, Iss 3, Pp 2561-2581 (2012)
Druh dokumentu: article
ISSN: 1424-8220
DOI: 10.3390/s120302561
Popis: 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.
Databáze: Directory of Open Access Journals