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|Title:||On Gaussian MIMO BC-MAC duality with multiple transmit covariance constraints|
|Citation:||Zhang, L., Zhang, R., Liang, Y.-C., Xin, Y., Poor, H.V. (2012-04). On Gaussian MIMO BC-MAC duality with multiple transmit covariance constraints. IEEE Transactions on Information Theory 58 (4) : 2064-2078. ScholarBank@NUS Repository. https://doi.org/10.1109/TIT.2011.2177760|
|Abstract:||Owing to the special structure of the Gaussian multiple-input multiple-output (MIMO) broadcast channel (BC), the associated capacity region computation and beamforming optimization problems are typically non-convex, and thus cannot be solved directly. One feasible approach is to consider the respective dual multiple-access channel (MAC) problems, which are easier to deal with due to their convexity properties. The conventional BC-MAC duality has been established via BC-MAC signal transformation, and is applicable only for the case in which the MIMO BC is subject to a single transmit sum-power constraint. An alternative approach is based on minimax duality, which can be applied to the case of the sum-power constraint or per-antenna power constraint. In this paper, the conventional BC-MAC duality is extended to the general linear transmit covariance constraint (LTCC) case, which includes sum-power and per-antenna power constraints as special cases. The obtained general BC-MAC duality is applied to solve the capacity region computation for the MIMO BC and beamforming optimization for the multiple-input single-output (MISO) BC, respectively, with multiple LTCCs. The relationship between this new general BC-MAC duality and the minimax duality is also discussed, and it is shown that the general BC-MAC duality leads to simpler problem formulations. Moreover, the general BC-MAC duality is extended to deal with the case of nonlinear transmit covariance constraints in the MIMO BC. © 2006 IEEE.|
|Source Title:||IEEE Transactions on Information Theory|
|Appears in Collections:||Staff Publications|
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