@inproceedings{b938a2f1222542309d340e3eada7a888,
title = "On gaussian MIMO BC-MAC duality with multiple transmit covariance constraints",
abstract = "The conventional Gaussian multiple-input multipleoutput (MIMO) broadcast channel (BC)- multiple-access channel (MAC) duality has previously been applied to solve non-convex BC capacity computation problems. However, this conventional duality approach is applicable only to the case in which the base station (BS) of the BC is subject to a single sum-power constraint. An alternative approach is the minimax duality, established by Yu in the framework of Lagrange duality, which can be applied to solve the per-antenna power constraint case. This paper first extends the conventional BC-MAC duality to the general linear transmit covariance constraint (LTCC) case, and thereby establishes a general BC-MAC duality. This new duality is then applied to solve the BC capacity computation problem with multiple LTCCs. Moreover, the relationship between this new general BC-MAC duality and the minimax duality is also presented, and it is shown that the general BC-MAC duality has a simpler form. Numerical results are provided to illustrate the effectiveness of the proposed algorithm.",
author = "Lan Zhang and Rui Zhang and Liang, \{Ying Chang\} and Xintt Van and Poor, \{H. Vincent\}",
year = "2009",
doi = "10.1109/ISIT.2009.5206059",
language = "English (US)",
isbn = "9781424443130",
series = "IEEE International Symposium on Information Theory - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "2502--2506",
booktitle = "2009 IEEE International Symposium on Information Theory, ISIT 2009",
address = "United States",
note = "2009 IEEE International Symposium on Information Theory, ISIT 2009 ; Conference date: 28-06-2009 Through 03-07-2009",
}