Multiple-input multiple-output Gaussian broadcast channels with common and confidential messages

Hung D. Ly, Tie Liu, Yingbin Liang

Research output: Contribution to journalArticlepeer-review

66 Scopus citations


This paper considers the problem of the multiple-input multiple-output (MIMO) Gaussian broadcast channel with two receivers (receivers 1 and 2) and two messages: a common message intended for both receivers and a confidential message intended only for receiver 1 but needing to be kept asymptotically perfectly secure from receiver 2. A matrix characterization of the secrecy capacity region is established via a channel enhancement argument. The enhanced channel is constructed by first splitting receiver 1 into two virtual receivers and then enhancing only the virtual receiver that decodes the confidential message. The secrecy capacity region of the enhanced channel is characterized using an extremal entropy inequality previously established for characterizing the capacity region of a degraded compound MIMO Gaussian broadcast channel.

Original languageEnglish (US)
Article number5605348
Pages (from-to)5477-5487
Number of pages11
JournalIEEE Transactions on Information Theory
Issue number11
StatePublished - Nov 2010


  • Broadcast channel
  • channel enhancement
  • common message
  • confidential message
  • extremal entropy inequality
  • multiple-input multiple-output (MIMO) communication
  • physical layer security

ASJC Scopus subject areas

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


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