Bounds and Capacity Theorems for Cognitive Interference Channels with State

Ruchen Duan, Yingbin Liang

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

A class of cognitive interference channels with state are investigated, in which a primary transmitter sends a message to two receivers (receivers 1 and 2) with assistance of a cognitive transmitter (that knows the primary transmitter's message), and the cognitive transmitter also sends a separate message to receiver 2. The channel is corrupted by an independent and identically distributed state sequence. The scenario, in which the state sequence is noncausally known at both the cognitive transmitter and receiver 2, is first studied. The capacity region is obtained for both the discrete memoryless and Gaussian channels. The second scenario, in which the state sequence is noncausally known only at the cognitive transmitter, is further studied. Inner and outer bounds on the capacity region are obtained for the discrete memoryless channel and its degraded version. The capacity region is characterized for the degraded semideterministic channel and for channels that satisfy a less noisy condition. The Gaussian channels are further studied, which are partitioned into two cases based on how the interference compares with the signal at receiver 1. For each case, inner and outer bounds on the capacity region are derived, and partial boundaries of the capacity region are characterized. The full capacity region is also characterized for channels that satisfy certain conditions. It is shown that certain Gaussian channels achieve the capacity of the same channels with state noncausally known at both the cognitive transmitter and receiver 2.

Original languageEnglish (US)
Article number6963381
Pages (from-to)280-304
Number of pages25
JournalIEEE Transactions on Information Theory
Volume61
Issue number1
DOIs
StatePublished - Jan 1 2015

Keywords

  • Capacity region
  • Gel'fand-Pinsker scheme
  • channel state
  • cognitive interference channel
  • dirty paper coding
  • noncausal state information

ASJC Scopus subject areas

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

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