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首页> 外文期刊>Information Theory, IEEE Transactions on >Secure Degrees of Freedom of $K$ -User Gaussian Interference Channels: A Unified View
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Secure Degrees of Freedom of $K$ -User Gaussian Interference Channels: A Unified View

机译： $ K $ -用户高斯干扰通道的安全自由度：统一视图

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摘要

We determine the exact sum secure degrees of freedom (d.o.f.) of the -user Gaussian interference channel. We consider three different secrecy constraints: 1) -user interference channel with one external eavesdropper (IC-EE); 2) -user interference channel with confidential messages (IC-CM); and 3) -user interference channel with confidential messages and one external eavesdropper (IC-CM-EE). We show that for all of these three cases, the exact sum secure d.o.f. is . We show converses for IC-EE and IC-CM, which imply a converse for IC-CM-EE. We show achievability for IC-CM-EE, which implies achievability for IC-EE and IC-CM. Our converse is based on developing a direct relationship between the differential entropies of the channel inputs and the rates of the users, and quantifying the effect of eavesdropping on the rates in terms of the differential entropies of the eavesdroppers' observations. Our achievability is based on structured signaling, structured cooperative jamming, channel prefixing, and asymptotic real interference alignment. While the traditional interference alignment provides some amount of secrecy by mixing unintended signals in a smaller subspace at every receiver, in order to attain the optimum sum secure d.o.f., we incorporate structured cooperative jamming into the achievable scheme, and intricately design the structure of all of the transmitted signals jointly.
机译：我们确定-用户高斯干扰信道的确切总和安全自由度（d.o.f.）。我们考虑三种不同的保密约束：1）-带有一个外部窃听者的用户干扰信道（IC-EE）； 2）-带有机密消息的用户干扰信道（IC-CM）； 3）-具有机密消息和一个外部窃听者的用户干扰信道（IC-CM-EE）。我们表明，对于这三种情况，确切的总和为d.o.f。是。我们展示了IC-EE和IC-CM的反面，这意味着IC-CM-EE的反面。我们展示了IC-CM-EE的可实现性，这意味着IC-EE和IC-CM的可实现性。相反，我们基于建立通道输入的微分熵与用户速率之间的直接关系，并根据窃听者观察的微分熵来量化窃听对速率的影响。我们的可实现性基于结构化信令，结构化协作干扰，信道前缀和渐近实际干扰对齐。虽然传统的干扰对准通过在每个接收器的较小子空间中混合意外信号来提供一定程度的保密性，但是为了获得最佳的安全总和自由度，我们将结构化协作干扰合并到了可实现的方案中，并复杂地设计了所有干扰的结构共同传输信号。

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