CAPACITY FOR DETERMINISTIC MIMO CHANNELS UNDER RANK CONSTRAINT: A TEXTBOOK DERIVATION

Feifei Gao

8th International Conference on Communications and Networking in China

Research Article

CAPACITY FOR DETERMINISTIC MIMO CHANNELS UNDER RANK CONSTRAINT: A TEXTBOOK DERIVATION

Cite: BibTeX Plain Text

@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

Feifei Gao^,*

*Contact email: feifeigao@mail.tsinghua.edu.cn

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.

Keywords: capacity mimo deterministic channel rank constraint waterfilling

Published: 2013-11-14
Publisher: IEEE

: http://dx.doi.org/10.1109/ChinaCom.2013.6694684