Scaling laws of multiple antenna group-broadcast channels

Tareq Al-Naffouri*, Amir Dana, Babak Hassibi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


Broadcast (or point to multipoint) communication has attracted a lot of research recently. In this paper, we consider the group broadcast channel where the users' pool is divided into groups, each of which is interested in common information. Such a situation occurs for example in digital audio and video broadcast where the users are divided into various groups according to the shows they are interested in. The paper obtains upper and lower bounds for the sum rate capacity in the large number of users regime and quantifies the effect of spatial correlation on the system capacity. The paper also studies the scaling of the system capacity when the number of users and antennas grow simultaneously. It is shown that in order to achieve a constant rate per user, the number of transmit antennas should scale at least logarithmically in the number of users.

Original languageEnglish (US)
Article number4712721
Pages (from-to)5030-5038
Number of pages9
JournalIEEE Transactions on Wireless Communications
Issue number12
StatePublished - Dec 2008
Externally publishedYes

Bibliographical note

Funding Information:
Manuscript received August 14, 2007; revised February 17, 2008; accepted June 2, 2008. The associate editor coordinating the review of this paper and approving it for publication was I. Lee. T. Y. Al-Naffouri is with the Electrical Engineering Department, King Fahd University of Petroleum and Minerals, Saudi Arabia (e-mail: The work of T. Y. Al-Naffouri was supported by Project IN070373, Deanship of Scientific Research at King Fahd University of Petroleum and Minerals. A. Dana is with Qualcomm Corporation, San Diego, CA. B. Hassibi is with California Institute of Technology (e-mail: Digital Object Identifier 10.1109/T-WC.2008.070902


  • Broadband
  • MIMO systems
  • Mobile communication systems
  • Systems
  • Transmit diversity
  • Wireless personal communication

ASJC Scopus subject areas

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics


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