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MIMO Wiretap Channels With Unknown and Varying Eavesdropper Channel States

机译：具有未知和变化的窃听者通道状态的MIMO窃听通道

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摘要

In this paper, a class of information theoretic secrecy problems is addressed where the eavesdropper channel state is completely unknown to the legitimate parties. In particular, a Gaussian MIMO wiretap channel is considered, where the eavesdropper channel state can vary from one channel use to the next, and the overall channel state sequence is known only to the eavesdropper. When the eavesdropper has fewer antennas than the transmitter and its intended receiver, a positive secrecy rate in the sense of strong secrecy is proved to be achievable and shown to match with the converse in secure degrees of freedom. This yields the conclusion that secure communication is possible regardless of the location or channel states of the eavesdropper. Additionally, it is observed that, the present setting renders the secrecy capacity problems for some multiterminal wiretap-type channels more tractable as compared to the case with full or partial knowledge of eavesdropper channel states. To demonstrate this observation, secure degrees of freedom regions are derived for the Gaussian MIMO multiple access (MAC) wiretap channel and the two-user Gaussian MIMO broadcast (BC) wiretap channel, where the transmitter(s) and intended receiver(s) have the same number of antennas.
机译：在本文中，解决了一类信息理论保密问题，其中合法方完全不了解窃听通道状态。特别地，考虑了高斯MIMO窃听信道，其中窃听者信道状态可以在一个信道使用之间变化，而整个信道状态序列仅对窃听者已知。当窃听者的天线少于发送器及其预期接收器的天线时，就可以实现强保密意义上的正保密率，并且在保密的自由度上与窃听者匹配。由此得出结论，无论窃听者的位置或信道状态如何，都可以进行安全的通信。另外，观察到，与完全或部分了解窃听者信道状态的情况相比，当前设置使某些多终端窃听型信道的保密容量问题更易于处理。为了证明这一点，针对高斯MIMO多址（MAC）窃听通道和两用户高斯MIMO广播（BC）窃听通道推导了安全自由度区域，其中发射器和预期接收器具有相同数量的天线。

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