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

  • Authors:
  • Hanan Weingarten;Tie Liu;Shlomo Shamai;Yossef Steinberg;Pramod Viswanath

  • Affiliations:
  • Department of Electrical Engineering, Technion-Israel Institute of Technology, Technion City, Haifa, Israel;Department of Electrical and Computer Engineering, Texas A&M University, College Station, TX;Department of Electrical Engineering, Technion-Israel Institute of Technology, Technion City, Haifa, Israel;Department of Electrical Engineering, Technion-Israel Institute of Technology, Technion City, Haifa, Israel;Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2009

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Abstract

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.