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On the secrecy degress of freedom of the multi-antenna block fading wiretap channels

机译:关于多天线块衰落窃听通道的保密自由度

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We consider the multi-antenna wiretap channel in which the transmitter wishes to send a confidential message to its receiver while keeping it secret to the eavesdropper. It has been known that the secrecy capacity of such a channel does not increase with signal-to-noise ratio when the transmitter has no channel state information (CSI) under mild conditions. Motivated by Jafar's robust interference alignment technique, we study the so-called staggered multi-antenna block-fading wiretap channel where the legitimate receiver and the eavesdropper have different temporal correlation structures. Assuming no CSI at transmitter, we characterize lower and upper bounds on the secrecy degrees of freedom (s.d.o.f.) of the channel at hand. Our results show that a positive s.d.o.f. can be ensured whenever two receivers experience different fading variation. Remarkably, very simple linear precoding schemes provide the optimal s.d.o.f. in some cases of interest.
机译:我们考虑了多天线窃听通道,在该通道中,发送方希望向其接收方发送机密消息,同时又对窃听者保持机密。众所周知,当发射机在温和条件下没有信道状态信息(CSI)时,这种信道的保密容量不会随信噪比而增加。在贾法尔强大的干扰对准技术的推动下,我们研究了所谓的交错多天线块衰落窃听通道,其中合法接收者和窃听者具有不同的时间相关结构。假设在发射机处没有CSI,我们将表征当前信道的保密自由度(s.d.o.f.)的上限和下限。我们的结果表明,s.d.o.f为正。每当两个接收机经历不同的衰落变化时,就可以确保得到保证。值得注意的是,非常简单的线性预编码方案可提供最佳的s.d.o.f。在某些情况下感兴趣。

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