Localization of networks using various ranging bias models

  • Authors:
  • Joseph Shmuel Picard;Anthony Joseph Weiss

  • Affiliations:
  • School of Electrical Engineering, Tel Aviv University, Tel Aviv 69978, Israel;School of Electrical Engineering, Tel Aviv University, Tel Aviv 69978, Israel

  • Venue:
  • Wireless Communications & Mobile Computing - ISWCS'2006
  • Year:
  • 2008

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Abstract

Given a network of stations with incomplete and possibly imprecise inter-station range measurements, it is required to find the relative positions of the stations. Several models for the bias in the range estimates are discussed. We present a set of iterative algorithms that cope successfully with the various bias models and provide Maximum Likelihood position estimates. Proof of convergence is provided. A procedure, albeit designed for precise measurements, is also proposed for the initialization of the iterative algorithms. We also present compact, matrix form expression for the Cramér—Rao Bound (CRB). Numerical examples are provided to corroborate the results. Copyright © 2007 John Wiley & Sons, Ltd.