Research Article
CAPACITY FOR DETERMINISTIC MIMO CHANNELS UNDER RANK CONSTRAINT: A TEXTBOOK DERIVATION
@INPROCEEDINGS{10.1109/ChinaCom.2013.6694684, author={Feifei Gao}, title={CAPACITY FOR DETERMINISTIC MIMO CHANNELS UNDER RANK CONSTRAINT: A TEXTBOOK DERIVATION}, proceedings={8th International Conference on Communications and Networking in China}, publisher={IEEE}, proceedings_a={CHINACOM}, year={2013}, month={11}, keywords={capacity mimo deterministic channel rank constraint waterfilling}, doi={10.1109/ChinaCom.2013.6694684} }- Feifei Gao
Year: 2013
CAPACITY FOR DETERMINISTIC MIMO CHANNELS UNDER RANK CONSTRAINT: A TEXTBOOK DERIVATION
CHINACOM
IEEE
DOI: 10.1109/ChinaCom.2013.6694684
Abstract
This paper provides a text-book derivation for the capacity of the deterministic multiple-input multiple-output (MIMO) channels with a rank constrained source covariance matrix. We prove that the optimal power allocation aligns with the water-filling interpretation but only over the best K eigenmodes, where K is the upper bound of the source covariance rank. Moreover, we prove that the capacity is an increasing and concave function of the total power under the considered scenario.
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