Capacity bounds and exact results for the cognitive z-interference channel

Nan Liu, Ivana Maric, Andrea J. Goldsmith, Shlomo Shamai

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


We study the discrete memoryless Z-interference channel where the transmitter of the pair that suffers from interference is cognitive. We first provide an outer bound on the capacity region of this channel. We then show that, when the channel of the transmitter-receiver pair that does not experience interference is deterministic and invertible, our proposed outer bound matches the best known inner bound. The obtained results imply that in the considered channel, superposition encoding at the noncognitive transmitter as well as Gel'fand-Pinsker encoding at the cognitive transmitter is needed in order to minimize the impact of interference. As a byproduct of the obtained capacity region, we obtain the capacity under the generalized Gel'fand-Pinsker setting where a transmitter-receiver pair communicates in the presence of interference noncausally known at the encoder.

Original languageEnglish (US)
Article number6332519
Pages (from-to)886-893
Number of pages8
JournalIEEE Transactions on Information Theory
Issue number2
StatePublished - 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

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


  • Capacity
  • cognitive Z-interference channel
  • cognitive interference channel
  • interference channel with one cognitive transmitter


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