Scaling laws of multiple antenna group-broadcast channels

Tareq Al-Naffouri; Amir Dana; Babak Hassibi

doi:10.1109/T-WC.2008.070902

Scaling laws of multiple antenna group-broadcast channels

Tareq Al-Naffouri^*, Amir Dana, Babak Hassibi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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 language	English (US)
Article number	4712721
Pages (from-to)	5030-5038
Number of pages	9
Journal	IEEE Transactions on Wireless Communications
Volume	7
Issue number	12
DOIs	https://doi.org/10.1109/T-WC.2008.070902
State	Published - Dec 2008
Externally published	Yes

Keywords

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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10.1109/T-WC.2008.070902

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title = "Scaling laws of multiple antenna group-broadcast channels",

abstract = "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.",

keywords = "Broadband, MIMO systems, Mobile communication systems, Systems, Transmit diversity, Wireless personal communication",

author = "Tareq Al-Naffouri and Amir Dana and Babak Hassibi",

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: [email protected]). 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: [email protected]). Digital Object Identifier 10.1109/T-WC.2008.070902",

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AB - 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.

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Scaling laws of multiple antenna group-broadcast channels

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Keywords

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