Sum power iterative water-filling for multi-antenna Gaussian broadcast channels
Jindal, N.; Rhee, W.; Vishwanath, S.; Jafar, S.A.; Goldsmith, A.
Information Theory, IEEE Transactions on
Volume 51, Issue 4, April 2005 Page(s):1570 - 1580
Digital Object Identifier   10.1109/TIT.2005.844082
Summary:In this correspondence, we consider the problem of maximizing sum rate of a multiple-antenna Gaussian broadcast channel (BC). It was recently found that dirty-paper coding is capacity achieving for this channel. In order to achieve capacity, the optimal transmission policy (i.e., the optimal transmit covariance structure) given the channel conditions and power constraint must be found. However, obtaining the optimal transmission policy when employing dirty-paper coding is a computationally complex nonconvex problem. We use duality to transform this problem into a well-structured convex multiple-access channel (MAC) problem. We exploit the structure of this problem and derive simple and fast iterative algorithms that provide the optimum transmission policies for the MAC, which can easily be mapped to the optimal BC policies.

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