Secrecy DoF of Blind MIMOME Wiretap Channel With Delayed CSIT
Secrecy DoF of Blind MIMOME Wiretap Channel With Delayed CSIT
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DOI：
10.1109/tifs.2017.2756602
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发表时间：
2018-02-01
影响因子：
6.8
通讯作者：
Avestimehr, Amir Salman
中科院分区：
文献类型：
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作者：
Lashgari, Sina;Avestimehr, Amir Salman
我们研究了高斯多输入多输出多窃听者窃听信道，其中发送者希望在窃听者在场的情况下将机密消息传递给合法的接收者。网络中的每个节点都配备了任意数量的天线。此外，信道是时变的，并且在发射机(CSIT)上没有关于窃听者的信道的可用的信道状态信息；并且发射机只能访问合法接收器的信道的延迟CSIT。此类网络的安全自由度(SDoF)仅针对特殊情况进行了表征，一般情况下是未知的。我们完整地描述了该网络在所有天线配置下的SDOF。特别是，我们通过在接收器处提出更有效的人工噪声对齐来严格改进该网络的最先进的可实现方案。此外，我们利用三个重要的不等式得到了一个紧凑的上界，这三个不等式提供了提供延迟CSIT或不提供CSIT的接收器的接收信号维度的下界。这些不等式结合在一起可以分析具有不同CSIT的网络中的信号维度；因此，我们提出了一个反向证明，该证明导致了所有可能的天线配置的SDOF的特征。
We study the Gaussian multiple-input multiple-output multiple-eavesdropper wiretap channel where a transmitter wishes to communicate a confidential message to a legitimate receiver in the presence of eavesdroppers. Each node in the network is equipped with an arbitrary number of antennas. Furthermore, channels are time varying, and there is no channel state information available at the transmitter (CSIT) with respect to eavesdroppers' channels; and transmitter only has access to delayed CSIT of the channel to the legitimate receiver. The secure degrees of freedom (SDoF) for such a network has only been characterized for special cases, and is unknown in general. We completely characterize the SDoF of this network for all antenna configurations. In particular, we strictly improve the state-of-the-art achievable scheme for this network by proposing more efficient artificial noise alignment at the receivers. Furthermore, we develop a tight upper bound by utilizing three important inequalities that provide lower bounds on the received signal dimensions at receivers which supply delayed CSIT or no CSIT. These inequalities together allow for analysis of signal dimensions in networks with heterogeneous CSIT; and as a result, we present a converse proof that leads to characterization of SDoF for all possible antenna configurations.