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Error Estimation for the Linearized Auto-Localization Algorithm

delete2012-02-24
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OA
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J
Jorge Guevara *
A
Antonio R. Jiménez
J
José Carlos Prieto
F
Fernando Seco
DOI:10.3390/s120302561delete
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Abstract

Abstract

En 中文
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 tau 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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Journal

Sensors cover
Sensors
IF:
3.5
Papers:
7.1W
Citations:
20.9W

Organization

C
consejo superior de investigaciones cientificas (csic)
Scholars:
8.8W
Papers: 8.5W
Citations: 125