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The Degrees of Freedom of the Interference Channel with a Cognitive Relay under Delayed Feedback

Information Theory 2015-07-27 v1 math.IT

Abstract

This paper studies the interference channel with a cognitive relay (ICCR) under delayed feedback. Three types of delayed feedback are studied: delayed channel state information at the transmitter (CSIT), delayed output feedback, and delayed Shannon feedback. Outer bounds are derived for the DoF region of the two-user multiple-input multiple-output (MIMO) ICCR with delayed feedback as well as without feedback. For the single-input single-output (SISO) scenario, optimal schemes are proposed based on retrospective interference alignment. It is shown that while a cognitive relay without feedback cannot extend the sum-DoF beyond 11 in the two-user SISO interference channel, delayed feedback in the same scenario can extend the sum-DoF to 4/34/3. For the MIMO case, achievable schemes are obtained via extensions of retrospective interference alignment, leading to DoF regions that meet the respective upper bounds.

Keywords

Cite

@article{arxiv.1507.06737,
  title  = {The Degrees of Freedom of the Interference Channel with a Cognitive Relay under Delayed Feedback},
  author = {Hyo Seung Kang and Myung Gil Kang and Wan Choi and Aria Nosratinia},
  journal= {arXiv preprint arXiv:1507.06737},
  year   = {2015}
}