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On the Capacity Region of Multi-Antenna Gaussian Broadcast Channels with Estimation Error

Dana, Amir F. and Sharif, Masoud and Hassibi, Babak (2006) On the Capacity Region of Multi-Antenna Gaussian Broadcast Channels with Estimation Error. In: IEEE International Symposium on Information Theory, 2006 (ISIT 2006), Seattle, WA, 9-14 July 2006. IEEE , Piscataway, NJ, pp. 1851-1855. ISBN 1-4244-0504-1. https://resolver.caltech.edu/CaltechAUTHORS:DANisit06

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Abstract

In this paper we consider the effect of channel estimation error on the capacity region of MIMO Gaussian broadcast channels. It is assumed that the receivers and the transmitter have (the same) estimates of the channel coefficients (i.e., the feedback channel is noiseless). We obtain an achievable rate region based on the dirty paper coding scheme. We show that this region is given by the capacity region of a dual multi-access channel with a noise covariance that depends on the transmit power. We explore this duality to give the asymptotic behavior of the sum-rate for a system with a large number of user, i.e., n rarr infin. It is shown that as long as the estimation error is of fixed (w.r.t n) variance, the sum-capacity is of order M log log n, where M is the number of antennas deployed at the transmitter. We further obtain the sum-rate loss due to the estimation error. Finally, we consider a training-based scheme for block fading MISO Gaussian broadcast channels. We find the optimum length of the training interval as well as the optimum power used for training in order to maximize the achievable sum-rate.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/ISIT.2006.261755DOIUNSPECIFIED
Additional Information:© Copyright 2006 IEEE. Reprinted with permission. Publication Date: July 2006. Posted online: 2006-12-26. This work is supported in part by the National Science Foundation under grant nos. CCR-0133818 and CCR-0326554, by the David and Lucille Packard Foundation, and by Caltech’s Lee Center for Advanced Networking.
Subject Keywords:Gaussian channels; antenna arrays; broadcast channels; channel capacity; channel coding; channel estimation; fading channels; multi-access systems
Record Number:CaltechAUTHORS:DANisit06
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:DANisit06
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9698
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:05 Mar 2008
Last Modified:03 Oct 2019 00:02

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