Perfect Output Feedback in the Two-User Decentralized Interference Channel

Samir M. Perlaza, Ravi Tandon, H. Vincent Poor, Zhu Han

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

In this paper, the η-Nash equilibrium (η-NE) region of the two-user Gaussian interference channel (IC) with perfect output feedback is approximated to within 1 bit/s/Hz and η arbitrarily close to 1 bit/s/Hz. The relevance of the η-NE region is that it provides the set of rate pairs that are achievable and stable in the IC when both transmitter-receiver pairs autonomously tune their own transmit-receive configurations seeking an η-optimal individual transmission rate. Therefore, any rate tuple outside the η-NE region is not stable as there always exists one link able to increase by at least η bits/s/Hz its own transmission rate by updating its own transmit-receive configuration. The main insights that arise from this paper are as follows. First, the η-NE region achieved with feedback is larger than or equal to the η-NE region without feedback. More importantly, for each rate pair achievable at an η-NE without feedback, there exists at least one rate pair achievable at an η-NE with feedback that is weakly Pareto superior. Second, there always exists an η-NE transmit-receive configuration that achieves a rate pair that is at most 1 bit/s/Hz per user away from the outer bound of the capacity region.

Original languageEnglish (US)
Article number7192622
Pages (from-to)5441-5462
Number of pages22
JournalIEEE Transactions on Information Theory
Volume61
Issue number10
DOIs
StatePublished - Oct 1 2015

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

Keywords

  • Gaussian channels
  • Interference channels
  • distributed information systems
  • feedback communications
  • wireless networks

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