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arXiv 1312.3198cs.ITcs.CRmath.IT
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大型协作无线网络中的安全容量扩展

Secrecy Capacity Scaling in Large Cooperative Wireless Networks

Mahtab Mirmohseni, Panagiotis Papadimitratos

摘要:

我们调查大型无线网络的安全约束。与以前的工作中考虑的点对点,干扰受限的通信,我们提出了主动协作中继为基础的计划。我们考虑一个网络与$n_l$合法节点,$n_e$窃听者,路径损耗指数$α\geq 2$。只要$n_e^2(\log(n_e))^γ=o(n_l)$,对于一定的正$γ$,我们证明了可以得到无界安全的聚合速率.这意味着零成本安全通信,给定整个网络的固定总功率约束。我们实现这一结果,通过(i)使用Wyner随机编码器和串行(多级)块马尔可夫方案的源,与中继和(ii)中继作为一个虚拟的多天线应用波束成形对窃听。我们的简单的并行(两级)中继方案可以实现相同的无界安全聚合速率时,$n_e^{\fracα{2}+1}(\log(n_e))^{γ+δ(\fracα{2}+1)}=o(n_l)$保持,一些积极的$γ,δ$。最后,我们研究了改进(损害合法节点)的窃听实现在一个大型的合作网络的情况下,共谋的信息泄漏率。我们再次表明,零成本的安全通信是可能的,如果$n_e^{(2+\frac{2}α)}(\log n_e)^γ=o(n_l)$持有,对于一些积极的$γ$,即,在共谋的情况下,与非共谋的情况相比,可以容忍稍少的窃听者。

英文摘要:

We investigate large wireless networks subject to security constraints. In contrast to point-to-point, interference-limited communications considered in prior works, we propose active cooperative relaying based schemes. We consider a network with $n_l$ legitimate nodes, $n_e$ eavesdroppers, and path loss exponent $α\geq 2$. As long as $n_e^2(\log(n_e))^γ=o(n_l)$, for some positive $γ$, we show one can obtain unbounded secure aggregate rate. This means zero-cost secure communication, given fixed total power constraint for the entire network. We achieve this result through (i) the source using Wyner randomized encoder and a serial (multi-stage) block Markov scheme, to cooperate with the relays and (ii) the relays acting as a virtual multi-antenna to apply beamforming against the eavesdroppers. Our simpler parallel (two-stage) relaying scheme can achieve the same unbounded secure aggregate rate when $n_e^{\fracα{2}+1}(\log(n_e))^{γ+δ(\fracα{2}+1)}=o(n_l)$ holds, for some positive $γ,δ$. Finally, we study the improvement (to the detriment of legitimate nodes) the eavesdroppers achieve in terms of the information leakage rate in a large cooperative network in case of collusion. We show that again the zero-cost secure communication is possible, if $n_e^{(2+\frac{2}α)}(\log n_e)^γ=o(n_l)$ holds, for some positive $γ$; i.e., in case of collusion slightly fewer eavesdroppers can be tolerated compared to the non-colluding case.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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