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Connectivity of wireless information-theoretic secure networks

机译：无线信息理论安全网络的连通性

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Connectivity is one of the most fundamental properties of wireless multi-hop networks. This paper studies the connectivity of large wireless networks with secrecy constraint, i.e. a pair of nodes can communicate securely against eavesdropping. Specifically, we consider a network with a mixture of legitimate nodes and eavesdroppers that are distributed according to two independent Poisson point processes on a √n × √n square. Assuming that legitimate nodes can generate artificial noise, which is shown in the literature to be an effective way of suppressing eavesdropping, we provide sufficient conditions on the transmission power and the noise generation power required for a network with known intensity of eavesdroppers to be asymptotically almost surely connected with secrecy constraint as n → ∞, considering the cases of both non-colluding and colluding eavesdroppers.
机译：连接是无线多跳网络中最基本的属性之一。本文研究了大型无线网络与保密约束的连接，即，一对节点可以牢固地沟通窃听。具体而言，我们考虑一个具有合法节点和窃听者的网络，这些网络是根据√n×√n正方形的两个独立泊松点过程分发的。假设合法节点可以产生人工噪声，这在文献中被示出为抑制窃听的有效方式，我们为具有已知强度的网络的传输功率和噪声发电电源提供了足够的条件几乎渐近的网络考虑到非勾结和勾结窃听者的情况，肯定与保密约束有关。

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