On Gaussian MIMO BC-MAC duality with multiple transmit covariance constraints

  • Authors:

  • Lan Zhang;Rui Zhang;Ying-Chang Liang;Van Xin;H. Vincent Poor

  • Affiliations:

  • Dept. of ECE, National University of Singapore, Singapore;Institute for Infocomm Research, A*STAR, Singapore;Institute for Infocomm Research, A*STAR, Singapore;NEC Laboratories America Inc., Princeton, NJ;Department of Electrical Engineering, Princeton University, Princeton, NJ

  • Venue:
  • ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
  • Year:
  • 2009

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Abstract

The conventional Gaussian multiple-input multiple-output (MIMO) broadcast channel (BC)- multiple-access channel (MAC) duality has previously been applied to solve nonconvex 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.