A semidefinite relaxation based conservative approach to robust transmit beamforming with probabilistic SINR constraints

[[abstract]]This paper considers a multiuser transmit beamforming de- sign in the presence of Gaussian distributed channel errors at the transmitter. We study a stochastic robust design problem that minimizes the transmission power subject to probabilistic signal-to-interference-plus-noise ratio (SINR) constraints on the receivers. While the probabilistically- constrained design problem is difficult to solve, we present a conservative approximation formulation that guarantees the satisfaction of the probabilistic SINR requirements. The pro- posed conservative formulation is reminiscent of the worst- case robust design problem with spherically bounded chan- nel errors, and can be efficiently handled by semidefinite re- laxation. The presented simulation results show that the proposed approach outperforms the existing methods and requires less transmission powers under the same SINR re- quirement.[[fileno]]2030157030093[[department]]電機工程學