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Scaling laws of sum rate using time-sharing, DPC, and beamforming for MIMO broadcast channels

Sharif, Masoud and Hassibi, Babak (2004) Scaling laws of sum rate using time-sharing, DPC, and beamforming for MIMO broadcast channels. In: International Symposium on Information Theory (ISIT 2004), Chicago, IL, 27 June-2 July 2004. IEEE , Piscataway, NJ, p. 177. ISBN 0780382803.

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We derive the scaling laws of the sum rate throughput for MIMO Gaussian broadcast channels using time-sharing to the strongest user, dirty paper coding (DPC), and beamforming when the number of users (receivers) n is large. Assuming a fixed total average transmit power, we show that for a system with M transmit antennas and users equipped with N antennas, the sum rate scales like M log log nN for DPC and beamforming when M is fixed and for any N (either growing to infinity or not). On the other hand, when both M and N are fixed, the sum rate of time-sharing to the strongest user scales like min(M,N) log log n. It is also shown that if M grows as log n, the sum rate of DPC and beamforming will grow linearly in M, but with different constant multiplicative factors. In this region, the sum rate capacity of time-sharing scales like N log log n.

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Additional Information:© 2004 IEEE. Reprinted with Permission. Publication Date: 27 June-2 July 2004. Posted online: 2005-01-10. This work was supported in part by NSF Grant CCR-0133818, by the office of Naval Research Grant N00014-02-1-0578, and by Caltech’s Lee Center for Advanced Networking.
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-02-1-0578
Caltech Lee Center for Advanced NetworkingUNSPECIFIED
Subject Keywords:Gaussian channels; MIMO systems; antenna arrays; broadcast channels; encoding; receiving antennas; transmitting antennas; MIMO Gaussian broadcast channel; beamforming; dirty paper coding; multiple input multiple output; power transmission; scaling law; sum rate throughput; time-sharing scale; transmit antenna
Record Number:CaltechAUTHORS:SHAisit04a
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9766
Deposited On:16 Mar 2008
Last Modified:08 Nov 2021 21:01

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