Achieving net feedback gain in the linear-deterministic butterfly network with a full-duplex relay

  • Authors:
  • Anas Chaaban;Aydin Sezgin;Daniela Tuninetti

  • Affiliations:
  • Ruhr-University of Bochum, Bochum, Germany;Ruhr-University of Bochum, Bochum, Germany;University of Illinois at Chicago, Chicago, IL

  • Venue:
  • Information Theory, Combinatorics, and Search Theory
  • Year:
  • 2013

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Abstract

A symmetric butterfly network (BFN) with a full-duplex relay operating in a bi-directional fashion for feedback is considered. This network is relevant for a variety of wireless networks, including cellular systems dealing with cell-edge users. Upper bounds on the capacity region of the general memoryless BFN with feedback are derived based on cut-set and cooperation arguments and then specialized to the linear deterministic BFN with relay-source feedback. It is shown that the upper bounds are achievable using combinations of the compute-forward strategy and the classical decode-and-forward strategy, thus fully characterizing the capacity region. It is shown that net rate gains are possible in certain parameter regimes.