Capacity bounds for large scale wireless ad hoc networks under Gaussian channel model

  • Authors:
  • Xiang-Yang Li;ShaoJie Tang;Xufei Mao

  • Affiliations:
  • Department of Computer Science, Illinois Institute of Technology, Chicago, IL;Department of Computer Science, Illinois Institute of Technology, Chicago, IL;Department of Computer Science, Illinois Institute of Technology, Chicago, IL

  • Venue:
  • SECON'09 Proceedings of the 6th Annual IEEE communications society conference on Sensor, Mesh and Ad Hoc Communications and Networks
  • Year:
  • 2009

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Abstract

We study the capacity for both random and arbitrary wireless networks under Gaussian Channel model when all wireless nodes have the same constant transmission power P. During the transmission, the power decays along path with attenuation exponent β 2. We consider extended networks, where n wireless nodes {v1, v2,..., vn} are randomly or arbitrarily distributed in a square region Ba with side-length a. We randomly choose ns multicast sessions. For each source node vi, we randomly select k points pi,j (1 ≤ j ≤ k) in Ba and the node which is closest to pi,j will serve as a destination node of vi. We derive the achievable upper bounds on unicast capacity and an upper bound (partially achievable) on multicast capacity of the wireless networks under Gaussian Channel model. We found that the unicast (multicast) capacity for wireless networks under Gaussian Channel model has three regimes.