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Asymptotic Analysis of the Gaussian Broadcast Channel with Perturbation Preprocessing

Stojnic, M. and Vikalo, H. and Hassibi, B. (2006) Asymptotic Analysis of the Gaussian Broadcast Channel with Perturbation Preprocessing. In: 2006 IEEE International Conference on Acoustics, Speech, and Signal Processing. International Conference on Acoustics Speech and Signal Processing . IEEE , Piscataway, NJ, pp. 777-780. ISBN 1-4244-0469-X . http://resolver.caltech.edu/CaltechAUTHORS:20110727-110357938

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Abstract

The sum rate capacity of the multi-antenna Gaussian broadcast channel has recently been computed. However, the search for computationally efficient practical schemes that achieve it is still in progress. When the channel state information is fully available at the transmitter, the dirty paper coding (DPC) technique is known to achieve the maximal throughput, but is computationally infeasible. In this paper, we analyze the asymptotic behavior of one of its alternatives – the recently suggested so-called vector perturbation technique. We show that for a square channel, where the number of users is large and equal to the number of transmit antennas, its sum rate approaches that of the DPC technique. More precisely, we show that at both low and high signal-to-noise ratio (SNR), the scheme under consideration is asymptotically optimal. Furthermore, we obtain similar results in the case where the number of users is much larger than the number of transmit antennas.


Item Type:Book Section
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http://dx.doi.org/10.1109/ICASSP.2006.1661084DOIUNSPECIFIED
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1661084PublisherUNSPECIFIED
Additional Information:© 2006 IEEE. Issue Date: 14-19 May 2006. Date of Current Version: 18 September 2006. This work was supported in part by the National Science Foundation under grant no. CCR-0133818 and CCR-0326554, by the David and Lucille Packard Foundation, and by Caltech’s Lee Center for Advanced Networking.
Funders:
Funding AgencyGrant Number
NSFCCR-0133818
NSFCCR-0326554
David and Lucile Packard FoundationUNSPECIFIED
Caltech Lee Center for Advanced NetworkingUNSPECIFIED
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INSPEC Accession Number9154441
Record Number:CaltechAUTHORS:20110727-110357938
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20110727-110357938
Official Citation:Stojnic, M.; Vikalo, H.; Hassibi, B.; , "Asymptotic Analysis of the Gaussian Broadcast Channel with Perturbation Preprocessing," Acoustics, Speech and Signal Processing, 2006. ICASSP 2006 Proceedings. 2006 IEEE International Conference on , vol.4, no., pp.IV, 14-19 May 2006 doi: 10.1109/ICASSP.2006.1661084 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1661084&isnumber=34760
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:24567
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:27 Jul 2011 18:38
Last Modified:23 Aug 2016 10:03

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