The capacity region of the degraded multiple-input multiple-output compound broadcast channel

Hanan Weingarten, Tie Liu, Shlomo Shamai, Yossef Steinberg, Pramod Viswanath

Research output: Contribution to journalArticlepeer-review

70 Scopus citations


The capacity region of a compound multiple-antenna broadcast channel is characterized when the users exhibit a certain degradedness order. The channel under consideration has two users, each user has a finite set of possible realizations. The transmitter transmits two messages, one for each user, in such a manner that regardless of the actual realizations, both users will be able to decode their messages correctly. An alternative view of this channel is that of a broadcast channel with two common messages, each common message is intended to a different set of users. The degradedness order between the two sets of realizations/users is defined through an additional, fictitious, user whose channel is degraded with respect to all realizations/users from one set while all realizations/users from the other set are degraded with respect to him.

Original languageEnglish (US)
Pages (from-to)5011-5023
Number of pages13
JournalIEEE Transactions on Information Theory
Issue number11
StatePublished - 2009
Externally publishedYes

All Science Journal Classification (ASJC) codes

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


  • Broadcast channel
  • Capacity region
  • Compound channel
  • Enhancement
  • Extremal inequalities
  • Multiple-antenna


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