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首页> 外文期刊>IEEE Transactions on Information Theory >MIMO Gaussian Broadcast Channels With Common, Private, and Confidential Messages
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MIMO Gaussian Broadcast Channels With Common, Private, and Confidential Messages

机译：具有公共，专用和机密消息的MIMO高斯广播信道

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摘要

The two-user multiple-input multiple-output Gaussian broadcast channel with common, private, and confidential messages is considered. The transmitter sends a common message to both users, a confidential message to the User 1 and a private (non-confidential) message to the User 2. The secrecy-capacity region is characterized by showing that certain inner and outer bounds coincide and that the boundary points are achieved by Gaussian inputs, which enables the development of a tight converse. The proof relies on the factorization of upper concave envelopes and a variant of dirty-paper coding (DPC). It is shown that the entire region is exhausted by using DPC to cancel out the signal of the non-confidential message at Receiver 1, thus making DPC against the signal of the confidential message unnecessary. A numerical example illustrates the secrecy-capacity results.
机译：考虑具有公共，私有和机密消息的两用户多输入多输出高斯广播信道。发送方向两个用户发送一条公共消息，向用户1发送一个机密消息，并向用户2发送一个私人（非机密）消息。保密容量区域的特征是显示某些内部和外部边界是重合的，并且边界点是通过高斯输入获得的，从而可以发展出紧密的对立关系。该证明依赖于上凹信封的分解以及脏纸编码（DPC）的变体。示出了通过使用DPC来抵消接收器1处的非机密消息的信号而耗尽了整个区域，从而使得针对机密消息的信号的DPC变得不必要。数值示例说明了保密容量结果。

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