Auto-localization algorithm for local positioning systems

  • Authors:
  • J. Guevara;A. R. Jiménez;J. C. Prieto;F. Seco

  • Affiliations:
  • Centro de Automática y Robótica (CAR), Consejo Superior de Investigaciones Cientıficas (CSIC)-UPM, Ctra. Campo Real km 0.2, La Poveda, 28500 Arganda del Rey, Madrid, Spain;Centro de Automática y Robótica (CAR), Consejo Superior de Investigaciones Cientıficas (CSIC)-UPM, Ctra. Campo Real km 0.2, La Poveda, 28500 Arganda del Rey, Madrid, Spain;Centro de Automática y Robótica (CAR), Consejo Superior de Investigaciones Cientıficas (CSIC)-UPM, Ctra. Campo Real km 0.2, La Poveda, 28500 Arganda del Rey, Madrid, Spain;Centro de Automática y Robótica (CAR), Consejo Superior de Investigaciones Cientıficas (CSIC)-UPM, Ctra. Campo Real km 0.2, La Poveda, 28500 Arganda del Rey, Madrid, Spain

  • Venue:
  • Ad Hoc Networks
  • Year:
  • 2012

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Abstract

This paper studies the problem of determining the position of beacon nodes in Local Positioning Systems (LPSs), for which there are no inter-beacon distance measurements available and neither the mobile node nor any of the stationary nodes have positioning or odometry information. The common solution is implemented using a mobile node capable of measuring its distance to the stationary beacon nodes within a sensing radius. Many authors have implemented heuristic methods based on optimization algorithms to solve the problem. However, such methods require a good initial estimation of the node positions in order to find the correct solution. In this paper we present a new method to calculate the inter-beacon distances, and hence the beacons positions, based in the linearization of the trilateration equations into a closed-form solution which does not require any approximate initial estimation. The simulations and field evaluations show a good estimation of the beacon node positions.