Multiple-input multiple-output gaussian broadcast channels with confidential messages

Ruoheng Liu, Tie Liu, H. Vincent Poor, Shlomo Shamai

Research output: Contribution to journalArticlepeer-review

156 Scopus citations


This paper considers the problem of secret communication over a two-receiver multiple-input multiple-output (MIMO) Gaussian broadcast channel. The transmitter has two independent messages, each of which is intended for one of the receivers but needs to be kept asymptotically perfectly secret from the other. It is shown that, surprisingly, under a matrix power constraint, both messages can be simultaneously transmitted at their respective maximal secrecy rates. To prove this result, the MIMO Gaussian wiretap channel is revisited and a new characterization of its secrecy capacity is provided via a new coding scheme that uses artificial noise (an additive prefix channel) and random binning.

Original languageEnglish (US)
Article number5550390
Pages (from-to)4215-4227
Number of pages13
JournalIEEE Transactions on Information Theory
Issue number9
StatePublished - Sep 2010

All Science Journal Classification (ASJC) codes

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


  • Artificial noise
  • broadcast channel
  • channel enhancement
  • information-theoretic security
  • multiple-input multiple-output (MIMO) communications
  • wiretap channel


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