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This paper studies joint beamforming and power control in a multiuser MISO interference network with statistical channel information. Such information consists of the slow-varying covariance matrices in the beamforming network, and can be employed to reduce instantaneous feedback needs. With the outage event induced by the utilization of statistical channel information, the authors optimize signal transmission strategies to minimize the maximum outage probability under weighted sum power constraint to achieve outage balancing in the interference network. Under the condition of fixed beamformer, they use nonlinear Perron-Frobenius theory to present a decentralized algorithm with provable geometrically fast convergence rate to compute the optimal power.
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