  This paper considers distributed linear beamforming in downlink multicell
multiuser orthogonal frequency-division multiple access networks. A fast
convergent solution maximizing the weighted sum- rate with per base station
(BS) transmiting power constraint is formulated. We approximate the non- convex
weighted sum-rate maximization (WSRM) problem with a semidefinite relaxed
solvable convex form by means of a series of approximation based on
interference alignment (IA) analysis. The WSRM optimization is a two-stage
optimization process. In the first stage, the IA conditions are satisfied. In
the second stage, the convex approximation of the non-convex WSRM is obtained
based on the consequences of IA, and high signal-to-interference-plus-noise
ratio assumption. Compared to the conventional iterative distributed algorithms
where the BSs exchange additional information at each iteration, the BSs of our
proposed solution optimize their beamformers locally without reporting
additional information during the iterative procedure.
