DocumentCode :
1147975
Title :
On the sensitivity of a suboptimal precoding scheme for frequency-selective block-based channels with respect to channel inaccuracies
Author :
Liavas, Athanasios P.
Author_Institution :
Dept. of Electron. & Comput. Eng., Tech. Univ. of Crete, Chania
Volume :
51
Issue :
9
fYear :
2005
Firstpage :
3374
Lastpage :
3381
Abstract :
Water-filling is the precoding scheme that achieves capacity in Gaussian parallel or block-based channels. A suboptimal precoding scheme, which has been observed to perform quite close to water-filling, in some cases of great interest, is when all "active" eigenvectors of the input data covariance matrix receive the same power. Both techniques require perfect channel knowledge at the transmitter. In this work, we consider the sensitivity of the suboptimal scheme when a channel estimate is used at the transmitter as if it were the true channel. Using tools from matrix perturbation theory, we derive closed-form expressions and bounds relating the channel estimation error covariance matrix with the mean mutual information decrease. We thus uncover the factors that determine the behavior of the suboptimal precoding scheme under channel uncertainties. Simulations are in agreement with our theoretical results
Keywords :
Gaussian channels; block codes; channel capacity; channel coding; channel estimation; covariance matrices; eigenvalues and eigenfunctions; Gaussian parallel channel; block-based channel; channel capacity; channel estimation; closed-form expression; covariance matrix; frequency-selective channels; matrix perturbation theory; mean mutual information; precoding scheme; water-filling; Channel estimation; Closed-form solution; Covariance matrix; DSL; Eigenvalues and eigenfunctions; Frequency; MIMO; Mutual information; Transmitters; Uncertainty; Channel uncertainties; invariant subspaces; perturbation expansions; precoding; water-filling;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2005.853328
Filename :
1499070
Link To Document :
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