  This paper considers coordinated linear precoding for rate optimization in
downlink multicell, multiuser orthogonal frequency- division multiple access
networks. We focus on two different design criteria. In the first, the weighted
sum-rate is maximized under transmit power constraints per base station. In the
second, we minimize the total transmit power satisfying the
signal-to-interference-plus-noise-ratio constraints of the subcarriers per
cell. Both problems are solved using standard conic optimization packages. A
less complex, fast, and provably convergent algorithm that maximizes the
weighted sum-rate with per-cell transmit power constraints is formulated. We
approximate the nonconvex weighted sum- rate maximization (WSRM) problem with a
solvable convex form by means of a sequential parametric convex approximation
approach. The second- order cone formulations of an objective function and the
constraints of the optimization problem are derived through a proper change of
variables, first-order linear approximation, and hyperbolic constraints
transformation. This algorithm converges to the suboptimal solution while
taking fewer it- erations in comparison to other known iterative WSRM
algorithms. Numerical results are presented to demonstrate the effectiveness
and superiority of the proposed algorithm.
