论文标题

k-user miso广播频道与交替的CSIT的k-user Miso广播频道

On Sum Secure Degrees of Freedom for K-User MISO Broadcast Channel With Alternating CSIT

论文作者

Sadighi, Leyla, Salehkalaibar, Sadaf, Rini, Stefano

论文摘要

在本文中,研究了带有机密消息(BCCM)的$ K $ - 用户多输入/单输出(MISO)广播频道的总和自由度(SDOF)和发射器(CSIT)的交替频道状态信息。在Miso BCCM中,A $ K $ -Antenna发射机(TX)向$ K $ single-Antenna接收器(RXS)通信,因此RX $ K $的消息与$ j <k $的RX $ J $保持了秘密。对于此模型,我们考虑了RXS的CSI从$ 2 $到$ k $即时在发射器中瞬间知道,而RX $ 1 $的CSI在发射机(i)的一半时间内就以剩余时间为单位延迟在发射机(i)瞬间(i)中知道。我们将此CSIT的可用性称为\ emph {交替} csit。交替的CIST已被证明可以从SDOF方面提供协同的收益,因此是一种可行的策略,可以通过简单地依靠CSI反馈策略来确保安全沟通。我们的主要贡献是该模型的SUM SDOF的表征为$ SDOF _ {\ rm sum} =(2K-1)/2 $。有趣的是,这种$ sdof _ {\ rm sum} $是通过一种相当简单的可实现的,在该可实现的情况下,TX使用人工噪声来防止以RX $ 1 $为$的意外接收器的消息解码。首先为简单起见,详细讨论了$ k = 3 $的证明,此后,我们介绍了任何数量的RXS的结果。

In this paper, the sum secure degrees of freedom (SDoF) of the $K$-user Multiple Input/Single Output (MISO) Broadcast Channel with Confidential Messages (BCCM) and alternating Channel State Information at the Transmitter (CSIT) is investigated. In the MISO BCCM, a $K$-antenna transmitter (TX) communicates toward $K$ single-antenna receivers (RXs), so that message for RX $k$ is kept secret from RX $j$ with $j<k$. For this model, we consider the scenario in which the CSI of the RXs from $2$ to $K$ is instantaneously known at the transmitter while CSI of RX $1$ is known at the transmitter (i) instantaneously for half of the time and (ii) with a unit delay for the remainder of the time. We refer to this CSIT availability as \emph{alternating} CSIT. Alternating CIST has been shown to provide synergistic gains in terms of SDoF and is thus of a viable strategy to ensure secure communication by simply relying on the CSI feedback strategy. Our main contribution is the characterization of sum SDoF for this model as $SDoF_{\rm sum}= (2K-1)/2$. Interestingly, this $SDoF_{\rm sum}$ is attained by a rather simple achievability in which the TX uses artificial noise to prevent the decoding of the message of the unintended receivers at RX $1$. For simplicity first, the proof for the case $K=3$ is discussed in detail and after that, we have presented the results for any number of RXs.

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