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Capacity and power allocation for fading MIMO channels with channel estimation error (2006)
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| Venue: | IEEE Transactions on Information Theory |
| Citations: | 105 - 0 self |
BibTeX
@ARTICLE{Yoo06capacityand,
author = {Taesang Yoo and Student Member and Andrea Goldsmith},
title = {Capacity and power allocation for fading MIMO channels with channel estimation error},
journal = {IEEE Transactions on Information Theory},
year = {2006},
volume = {52},
pages = {2203--2214}
}
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Abstract
Abstract—In this correspondence, we investigate the effect of channel estimation error on the capacity of multiple-input–multiple-output (MIMO) fading channels. We study lower and upper bounds of mutual information under channel estimation error, and show that the two bounds are tight for Gaussian inputs. Assuming Gaussian inputs we also derive tight lower bounds of ergodic and outage capacities and optimal transmitter power allocation strategies that achieve the bounds under perfect feedback. For the ergodic capacity, the optimal strategy is a modified waterfilling over the spatial (antenna) and temporal (fading) domains. This strategy is close to optimum under small feedback delays, but when the delay is large, equal powers should be allocated across spatial dimensions. For the outage capacity, the optimal scheme is a spatial waterfilling and temporal truncated channel inversion. Numerical results show that some capacity gain is obtained by spatial power allocation. Temporal power adaptation, on the other hand, gives negligible gain in terms of ergodic capacity, but greatly enhances outage performance. Index Terms—Capacity, channel estimation error, feedback delay, multiple-input–multiple-output (MIMO), mutual information, outage capacity, power allocation, waterfilling. I.
Keyphrases
channel estimation error power allocation mimo channel outage capacity gaussian input multiple-input multiple-output mutual information ergodic capacity numerical result small feedback delay outage performance spatial power allocation capacity gain spatial dimension temporal power adaptation spatial waterfilling fading channel index term capacity negligible gain feedback delay optimal scheme channel inversion perfect feedback equal power optimal transmitter power allocation strategy upper bound modified waterfilling optimal strategy
