标题： 低噪声条件下具有GMM信号的MIMOME高斯信道上的可实现保密速率 显示英文标题

标题： Achievable Secrecy Rates over MIMOME Gaussian Channels with GMM Signals in Low-Noise Regime

摘要： 我们考虑一个窃听多输入多输出多窃听者（MIMOME）信道，其中代理Alice旨在将一个秘密消息传输给代理Bob，同时不向窃听者代理Eve泄露任何信息。 我们假设Alice的天线数量多于Bob和Eve，并且她仅对通往Eve的信道具有统计知识。 我们关注低噪声区域，并评估当秘密消息决定从多元高斯混合模型（GMM）中生成并传输到信道中的实现时可达到的保密速率。 特别是，我们表明如果Eve的天线数量少于Bob，则在低噪声下总是可以进行秘密传输。 此外，我们表明在低噪声极限下，我们方案的保密容量与其无约束容量一致，这是通过提供一类协方差矩阵来实现的，这些矩阵无需窃听编码即可达到该极限。 显示英文摘要

摘要： We consider a wiretap multiple-input multiple-output multiple-eavesdropper (MIMOME) channel, where agent Alice aims at transmitting a secret message to agent Bob, while leaking no information on it to an eavesdropper agent Eve. We assume that Alice has more antennas than both Bob and Eve, and that she has only statistical knowledge of the channel towards Eve. We focus on the low-noise regime, and assess the secrecy rates that are achievable when the secret message determines the distribution of a multivariate Gaussian mixture model (GMM) from which a realization is generated and transmitted over the channel. In particular, we show that if Eve has fewer antennas than Bob, secret transmission is always possible at low-noise. Moreover, we show that in the low-noise limit the secrecy capacity of our scheme coincides with its unconstrained capacity, by providing a class of covariance matrices that allow to attain such limit without the need of wiretap coding.