AlNaffouri, Tareq Y. and Sharif, Masoud and Hassibi, Babak (2006) How Much Does Transmit Correlation Affect the SumRate of MIMO Downlink Channels? In: IEEE International Symposium on Information Theory, 2006 (ISIT 2006), Seattle, WA, 914 July 2006. IEEE , Piscataway, NJ, pp. 15741578. ISBN 1424405041. https://resolver.caltech.edu/CaltechAUTHORS:NAFisit06

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Abstract
This paper considers the effect of spatial correlation between transmit antennas on the sumrate capacity of the MIMO broadcast channel (i.e., downlink of a cellular system). Specifically, for a system with a large number of users n, we analyze the scaling laws of the sumrate for the dirty paper coding and for different types of beamforming transmission schemes. When the channel is i.i.d., it has been shown that for large n, the sum rate is equal to M log log n + M log P/M + o(1) where M is the number of transmit antennas, P is the average signal to noise ratio, and o(1) refers to terms that go to zero as n rarr infin. When the channel exhibits some spatial correlation with a covariance matrix R (nonsingular with tr(R) = M), we prove that the sum rate of dirty paper coding is M log log n + M log P/M + log det(R) + o(1). We further show that the sumrate of various beamforming schemes achieves M log log n + M log P/M + M log c + o(1) where c les 1 depends on the type of beamforming. We can in fact compute c for random beamforming proposed in M. Sharif et al. (2005) and more generally, for random beamforming with preceding in which beams are premultiplied by a fixed matrix. Simulation results are presented at the end of the paper.
Item Type:  Book Section 

Additional Information:  © Copyright 2006 IEEE. Reprinted with permission. Publication Date: July 2006. Posted online: 20061226. The work of T. Y. AlNaffouri has been supported by King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia. Their work is supported in part by NSF under grant no. CCR0133818 and CCR0326554, by David and Lucy Packard Foundation, and by Caltech Lee Center for Advanced Networking. 
Subject Keywords:  MIMO systems; antenna arrays; broadcast channels; channel capacity; computational complexity; covariance matrices; radio links; transmitting antennas; wireless channels 
Record Number:  CaltechAUTHORS:NAFisit06 
Persistent URL:  https://resolver.caltech.edu/CaltechAUTHORS:NAFisit06 
Alternative URL:  http://dx.doi.org/10.1109/ISIT.2006.261541 
Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  9700 
Collection:  CaltechAUTHORS 
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Deposited On:  05 Mar 2008 
Last Modified:  03 Oct 2019 00:02 
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