On the symmetric feedback capacity of the K-user cyclic Z-interference channel

Ravi Tandon, Soheil Mohajer, H. Vincent Poor

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

The K-user cyclic Z-interference channel models a situation in which the kth transmitter causes interference only to the (k-1)th receiver in a cyclic manner, e.g., the first transmitter causes interference only to the K th receiver. The impact of noiseless feedback on the capacity of this channel is studied by focusing on the Gaussian cyclic Z-interference channel. To this end, the symmetric feedback capacity of the linear shift deterministic cyclic Z-interference channel is completely characterized for all interference regimes. Using insights from the linear deterministic channel model, the symmetric feedback capacity of the Gaussian cyclic Z-interference channel is characterized up to within a constant number of bits. As a byproduct of the constant gap result, the symmetric generalized degrees of freedom with feedback for the Gaussian cyclic Z-interference channel are also characterized. These results highlight that the symmetric feedback capacities for both linear and Gaussian channel models are in general functions of K, the number of users. Furthermore, the capacity gain obtained due to feedback decreases as K increases.

Original languageEnglish (US)
Article number6392280
Pages (from-to)2713-2734
Number of pages22
JournalIEEE Transactions on Information Theory
Volume59
Issue number5
DOIs
StatePublished - May 1 2013

All Science Journal Classification (ASJC) codes

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

Keywords

  • Feedback capacity
  • Wyner model
  • interference channel

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