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Bounding Interference in Wireless Ad Hoc Networks with Nodes in Random Position

  • Majid Khabbazian
  • Stephane Durocher
  • Alireza Haghnegahdar
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7355)

Abstract

Given a set of positions for wireless nodes, the interference minimization problem is to assign a transmission radius (equivalently, a power level) to each node such that the resulting communication graph is connected, while minimizing the maximum interference. We consider the model introduced by von Rickenbach et al. (2005), in which each transmission range is represented by a ball and edges in the communication graph are symmetric. The problem is NP-complete in two dimensions (Buchin 2008) and no polynomial-time approximation algorithm is known. In this paper we show how to solve the problem efficiently in settings typical for wireless ad hoc networks. We show that if node positions are represented by a set P of n points selected uniformly and independently at random over a d-dimensional rectangular region, for any fixed d, then the topology given by the closure of the Euclidean minimum spanning tree of P has maximum interference O(logn) with high probability. We extend this bound to a general class of communication graphs over a broad set of probability distributions. We present a local algorithm that constructs a graph from this class; this is the first local algorithm to provide an upper bound on the expected maximum interference. Finally, we analyze an empirical evaluation of our algorithm by simulation.

Keywords

Local Algorithm Topology Control Wireless Node Simulation Region Communication Graph 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Majid Khabbazian
    • 1
  • Stephane Durocher
    • 2
  • Alireza Haghnegahdar
    • 3
  1. 1.University of WinnipegWinnipegCanada
  2. 2.University of ManitobaWinnipegCanada
  3. 3.University of British ColumbiaVancouverCanada

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