On the Fast Fading Gaussian Wiretap Channel With Statistical Channel State Information at the Transmitter
On the Fast Fading Gaussian Wiretap Channel With Statistical Channel State Information at the Transmitter
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DOI：
10.1109/tifs.2015.2476464
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发表时间：
2016
影响因子：
6.8
通讯作者：
Pin-Hsun Lin;Eduard Axel Jorswieck
中科院分区：
文献类型：
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作者：
Pin-Hsun Lin;Eduard Axel Jorswieck
在本文中，我们研究了当发射机仅知道信道状态信息的统计数据时快衰落高斯窃听信道的遍历保密能力。我们推导了在合法通道和窃听通道之间的通常随机阶、凸阶和递增凸阶下存在退化和正遍历保密能力的条件。对于更一般的命令，我们证明了分层擦除窃听通道的保密能力，并提出了可实现方案的分层信令，并且我们推导了快衰落高斯窃听通道的容量上限。最后，数值结果表明，在 Nakagami-m 快衰落信道下，所提出的分层信令在多种情况下优于高斯码本。特别是，在某些情况下，高斯码本只能实现零保密率，而所提出的方案实现正保密率。因此，所提出的方案可以显着改善无线网络的连接性。
In this paper, we investigate the ergodic secrecy capacity of the fast fading Gaussian wiretap channel when only the statistics of the channel state information are known at the transmitter. We derive conditions for the existence of degradedness and a positive ergodic secrecy capacity under the usual stochastic order, the convex order, and the increasing convex order between the legitimate and eavesdropper channels. For more general orders, we prove the secrecy capacity of layered erasure wiretap channels and propose a layered signaling for the achievable scheme, and we derive an upper bound on the capacity for fast fading Gaussian wiretap channels. Finally, the numerical results show that under Nakagami-m fast fading channels, the proposed layered signaling outperforms the Gaussian codebook in several cases. In particular, in certain cases, the Gaussian codebook can achieve only a zero secrecy rate, whereas the proposed scheme achieves positive secrecy rates. Therefore, the connectivity of wireless networks can be significantly improved by the proposed scheme.