论文标题
高斯MIMO多录像带通道的最佳编码顺序
Optimal Order of Encoding for Gaussian MIMO Multi-Receiver Wiretap Channel
论文作者
论文摘要
本文研究了高斯多输入多输出（MIMO）多收取窃听通道。基站将机密消息传播给了k的预期用户，同时将消息从窃听器中保密。该通道的容量已经通过应用肮脏的编码和随机编码来表征。但是，可能需要对k阶乘编码订单进行列举，这使得问题很棘手。我们证明存在一个最佳编码顺序，并将K阶乘时间减少到一次编码。最佳编码顺序是通过形成保密加权总和（WSR）最大化问题来证明的。最佳顺序与没有保密约束的MIMO广播通道的最佳顺序相同，即WSR最大化问题中用户速率的权重决定了最佳编码顺序。数值结果验证最佳编码顺序。
The Gaussian multiple-input multiple-output (MIMO) multi-receiver wiretap channel is studied in this paper. The base station broadcasts confidential messages to K intended users while keeping the messages secret from an eavesdropper. The capacity of this channel has already been characterized by applying dirty-paper coding and stochastic encoding. However, K factorial encoding orders may need to be enumerated for that, which makes the problem intractable. We prove that there exists one optimal encoding order and reduced the K factorial times to a one-time encoding. The optimal encoding order is proved by forming a secrecy weighted sum rate (WSR) maximization problem. The optimal order is the same as that for the MIMO broadcast channel without secrecy constraint, that is, the weight of users' rate in the WSR maximization problem determines the optimal encoding order. Numerical results verify the optimal encoding order.
