Abstract We consider the secrecy rate maximization for multiple-input-multiple-output (MIMO) wiretap channels in the presence of a multiple-antenna eavesdropper. We propose an efficient algorithm based on minorization-maximization (MM) technique. The proposed algorithm constructs a simple surrogate function and has a closed-form solution at each iteration. In addition, we prove that the proposed algorithm has guaranteed convergence of the sequence of objective values. Moreover, an acceleration scheme, called squared iterative method (SQUAREM), is used to enhance the convergence rate of the proposed algorithm. Then, we extend the proposed algorithm to handle the transmission power minimization problem. Results show that the proposed algorithm have the same secrecy rate performance as the state-of-art algorithm but is much more computationally efficient.

中文翻译：

---

多天线窃听者存在时MIMO窃听信道的快速保密速率优化

摘要 我们考虑在多天线窃听者存在的情况下多输入多输出 (MIMO) 窃听信道的保密率最大化。我们提出了一种基于最小化-最大化 (MM) 技术的高效算法。所提出的算法构造了一个简单的代理函数，并且在每次迭代时都有一个封闭形式的解决方案。此外，我们证明了所提出的算法保证了目标值序列的收敛。此外，加速方案，称为平方迭代法（SQUAREM），用于提高算法的收敛速度。然后，我们扩展了所提出的算法来处理传输功率最小化问题。