Minimizing interference of a wireless ad-hoc network in a plane

  • Authors:
  • Magnús M. Halldórsson;Takeshi Tokuyama

  • Affiliations:
  • Dept. of Computer Science, Faculty of Engineering, University of Iceland, Reykjavik, Iceland;Graduate School of Information Sciences, Tohoku University, Sendai, Japan

  • Venue:
  • ALGOSENSORS'06 Proceedings of the Second international conference on Algorithmic Aspects of Wireless Sensor Networks
  • Year:
  • 2006

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Abstract

We consider the problem of topology control of a wireless ad-hoc network on a given set of points in the plane, where we aim to minimize the maximum interference by assigning a suitable transmission radius to each point. By using computational geometric ideas and ε-net theory, we attain an $O(\sqrt{\Delta})$ bound for the maximum interference where Δ is the interference of a uniform-radius ad-hoc network. This generalizes a result given in [8] for the special case of highway model (i.e., one-dimensional problem) to the two-dimensional case. We also give a method based on quad-tree decomposition and bucketing that has another provable interference bound in terms of the ratio of the minimum distance to the radius of a uniform-radius ad-hoc network.