SINR-constrained power minimization in MISO interference channel with imperfect CSI: A Bernstein Approximation approach

We consider SINR-constrained power minimization in MISO interference channel with imperfect channel state information (CSI). The problems is formulated as probability-constrained optimization problems. We make use of the Bernstein approximation to conservatively transform the probabilistic constraints into deterministic ones, and consequently convert the original stochastic optimization problems into convex optimization problems. Extensive simulation results are provided to demonstrate the effectiveness of the proposed method.