MIMO Power Minimization with Imperfect CSIT and Prescribed Outage

The usage of perfect and instantaneous CSIT in a SINR-constrained transmit power minimization requires excessive resources to acquire and distribute channel information. Recent works relying on statistical SINR constraints designed under prescribed outage loosens the original constraint in converting statistical inequalities to deterministic convex equivalents. In this paper, we offer a simple solution to this problem thereby deriving accurate models for true SINRs at the users subject to imperfect CSIT, conditioned on constraint matching estimates. Using these distributions, we design deterministic, instantaneous and convex SINR-constraints to compensate and meet the prescribed outage.