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arXiv 1604.02442cs.ITmath.IT
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两用户Z干扰信道单向协作的秘密容量域

On the Secrecy Capacity Region of the 2-user Z Interference Channel with Unidirectional Transmitter Cooperation

Parthajit Mohapatra, Chandra R. Murthy, Jemin Lee

摘要:

在这项工作中,单向有限速率发射机合作的作用进行了研究的情况下,2用户Z干扰信道(Z-IC)与保密约束的接收机,同时实现两个相互冲突的目标:减轻干扰和确保保密。首先,在线性确定性模型下研究了该问题。确定性模型的可实现方案使用协作预编码和干扰信号的传输的融合。所提出的计划的最优性建立的确定性模型的所有可能的参数设置使用的外部边界推导出作者在以前的工作。利用从确定性模型中得到的见解,得到了2用户高斯Z-IC的保密容量区域的下界。在这种情况下,可实现的方案除了协同预编码和干扰信号的传输之外还使用随机编码。的安全和广义自由度(GDOF)的特点,并显示为最佳的弱/中等干扰制度。它还表明,安全和容量位于2位/s/Hz的外边界的弱/中等干扰制度的合作链路的容量的所有值。有趣的是,在确定性模型的情况下,发现由于在弱/中等干扰制度中接收器处的保密约束,在Z-IC的容量区域上没有惩罚。同样,它被发现,有没有损失的安全和GDOF的高斯情况下,由于在接收机的保密约束,在弱/中等干扰制度。结果突出了合作在促进Z-IC安全通信方面的重要性。

英文摘要:

In this work, the role of unidirectional limited rate transmitter cooperation is studied in the case of the 2-user Z interference channel (Z-IC) with secrecy constraints at the receivers, on achieving two conflicting goals simultaneously: mitigating interference and ensuring secrecy. First, the problem is studied under the linear deterministic model. The achievable schemes for the deterministic model use a fusion of cooperative precoding and transmission of a jamming signal. The optimality of the proposed scheme is established for the deterministic model for all possible parameter settings using the outer bounds derived by the authors in a previous work. Using the insights obtained from the deterministic model, a lower bound on the secrecy capacity region of the 2-user Gaussian Z-IC are obtained. The achievable scheme in this case uses stochastic encoding in addition to cooperative precoding and transmission of a jamming signal. The secure sum generalized degrees of freedom (GDOF) is characterized and shown to be optimal for the weak/moderate interference regime. It is also shown that the secure sum capacity lies within 2 bits/s/Hz of the outer bound for the weak/moderate interference regime for all values of the capacity of the cooperative link. Interestingly, in case of the deterministic model, it is found that there is no penalty on the capacity region of the Z-IC due to the secrecy constraints at the receivers in the weak/moderate interference regimes. Similarly, it is found that there is no loss in the secure sum GDOF for the Gaussian case due to the secrecy constraint at the receiver, in the weak/moderate interference regimes. The results highlight the importance of cooperation in facilitating secure communication over the Z-IC.

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