K-user fading interference channels: the ergodic very strong case

  • Authors:
  • Lalitha Sankar;Jan Vondrak;H. Vincent Poor

  • Affiliations:
  • Department of Electrical Engineering, Princeton University, Princeton, NJ;IBM, Almaden, CA;Department of Electrical Engineering, Princeton University, Princeton, NJ

  • Venue:
  • Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing
  • Year:
  • 2009

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Abstract

Sufficient conditions required to achieve the interference-free capacity region of ergodic fading K-user interference channels (IFCs) are obtained. In particular, this capacity region is shown to be achieved when every receiver decodes all K transmitted messages such that the channel statistics and the waterfilling power policies for all K (interference-free) links satisfy a set of K(K - 1) ergodic very strong conditions. The result is also of independent interest in combinatorics.