中文摘要：

本文考虑两个源节点通过多个中继节点互相交换信息的无线通信系统,同时在系统中存在一个窃听者。本文研究中继协作系统波束成形技术,提出鲁棒优化模型。在合法用户和非法用户接收信号的信干噪比(SINR)一定的情况下,考虑目标为最小化的中继节点和源节点的总功耗。考虑窃听者的信道状态信息(CSI)不完全确定的情况,估计窃听者的CSI的范围,并且优化出该范围内模型的最优解。文中推导了优化模型的求解方法,并且将该问题转化为带有四个约束的半定规划(SDP)问题,通过寻找SDP问题的秩一解,求得原问题的最优解,得到中继协作波束成形向量。最后,提供了仿真结果验证了算法的有效性。

英文摘要：

This paper considers a wireless communication system where two source nodes exchange messages with the help of multi-relay nodes in the presence of an eavesdropper. This paper proposes a robust optimization model and designs the secure beamforming. The authors aim to design a secure beamforming vector by minimizing the total power consumption, which constrains the signal-to-interference-and-noise-ratio (SINR) requirements of received signal at le-gitimate users and the eavesdropper. As the channel state information (CSI) of the eavesdropper is not perfect, the range of estimation error is given. The minimization problem can be relaxed into a Semidefinite Programming (SDP) problem. And the designed relay beamforming vector can be obtained by solving the rank-one solution of SDP problem. Finally, this paper provides the simulation results to verify the effectiveness of this method.