  This paper considers weighted sum rate maximization of multiuser
multiple-input single-output interference channel (MISO-IFC) under outage
constraints. The outage-constrained weighted sum rate maximization problem is a
nonconvex optimization problem and is difficult to solve. While it is possible
to optimally deal with this problem in an exhaustive search manner by finding
all the Pareto-optimal rate tuples in the (discretized) outage-constrained
achievable rate region, this approach, however, suffers from a prohibitive
computational complexity and is feasible only when the number of
transmitter-receive pairs is small. In this paper, we propose a convex
optimization based approximation method for efficiently handling the
outage-constrained weighted sum rate maximization problem. The proposed
approximation method consists of solving a sequence of convex optimization
problems, and thus can be efficiently implemented by interior-point methods.
Simulation results show that the proposed method can yield near-optimal
solutions.
