Duality, Polite Water-filling, and Optimization for MIMO B-MAC Interference Networks and iTree Networks

Computer Science – Information Theory

Scientific paper

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70 pages, 12 figures, submitted to IEEE trans. on Information Theory in Apr. 2010

Scientific paper

The general MIMO interference network is considered and is named the B-MAC Network, for it is a combination of multiple interfering broadcast channels and multiaccess channels. Included as special cases are interference channels, X channels, X networks, and most practical wireless networks. The optimization of this important class of networks has been hindered by that beyond the single antenna multiaccess channels, little is known about the optimal input structure, which is found here to be the polite water-filling, satisfied by all Pareto optimal input. This network version of water-filling is polite because it optimally balances between reducing interference to others and maximizing a link's own rate, offering a method to decompose a network into multiple equivalent single-user channels and thus, paving the way for designing/improving low-complexity centralized/distributed/game-theoretic algorithms for most network optimization problems. Deeply connected is the rate duality extended to the forward and reverse links of the B-MAC networks. As a demonstration, weighted sum-rate maximization algorithms with superior performance and low complexity are designed for B-MAC networks and are analyzed for Interference Tree (iTree) Networks, a sub-class of the B-MAC networks that possesses promising properties for further information theoretic study.

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