State-dependent Gaussian Z-interference channel: Capacity results

Ruchen Duan, Yingbin Liang, Shlomo Shamai

Research output: Chapter in Book/Entry/PoemConference contribution

1 Scopus citations


A type of state-dependent Gaussian Z-interference channels is studied, in which transmitters 1 and 2 wish to send two messages to receivers 1 and 2, and only receiver 1 is interfered by transmitter 2's signal. Both receivers are corrupted by the same but differently scaled state sequence. The state information is assumed to be known noncausally at both transmitters. The channel is partitioned into very strong, strong, and weak interference regimes based on the strength of the interference. Respectively for the very strong and strong regimes, the capacity region and points on the capacity region boundary are characterized under certain channel parameters by designing joint dirty paper coding between two transmitters to cancel the state at both receivers. For the weak interference regime, the sum capacity is characterized by independent dirty paper coding at two transmitters. Comparison between the state-dependent regular and Z-interference channels indicates that although with one interference-free link, Z-interference channel does not necessarily perform better, because the dirty paper coded interference can be useful to help to fully cancel the state via joint dirty paper coding between the transmitters.

Original languageEnglish (US)
Title of host publicationProceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages5
ISBN (Electronic)9781467377041
StatePublished - Sep 28 2015
EventIEEE International Symposium on Information Theory, ISIT 2015 - Hong Kong, Hong Kong
Duration: Jun 14 2015Jun 19 2015

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8095


OtherIEEE International Symposium on Information Theory, ISIT 2015
Country/TerritoryHong Kong
CityHong Kong


  • Capacity region
  • Z-interference channel
  • dirty paper coding
  • noncausally state

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Information Systems
  • Modeling and Simulation
  • Applied Mathematics


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