Considering a general eavesdropping case where the eavesdropper is equipped with multiple antennas and two uncertainty models for the imperfect Channel State Information (CSI) on the main and eavesdropper’s channels at the transmitter. Two robust transmission methods are proposed for multiuser Multiple-In, Single-Out, Multiple-antenna Eavesdropper (MISOME) systems to provide SINR guarantee for the legitimate user by the optimization of beamforming and artificial noise covariance matrix. For the deterministic uncertainty model, the Worst-Case Secrecy Rate Maximization (WC-SRM) problem is derived an equivalent problem of the WC-SRM problem through analysis. The equivalent problem can be recast as a single-variable optimization problem, which can be handled by solving a sequence of convex SemiDefinite Programs (SDPs). For the stochastic uncertainty model, a suboptimal scheme to solve the Outage Probability constrained Secrecy Rate Maximization (OP-SRM) problem is proposed based on the robust design for the WC-SRM problem. Finally, the effectiveness and the robustness of the proposed algorithms are validated by the simulation results.
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