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arXiv 1509.04075cs.ITmath.IT
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两跳中继信道上的分级计算转发安全传输

Secure Transmission on the Two-hop Relay Channel with Scaled Compute-and-Forward

Zhijie Ren, Jasper Goseling, Jos H. Weber, Michael Gastpar

摘要:

在本文中,我们考虑两跳信道上的通信,其中源希望通过中继可靠和安全地发送信息到目的地。我们考虑不可信中继的情况下,外部窃听者的情况下。在不可信中继的情况下,中继的行为就像一个窃听者,并且有一个合作节点,它发送一个干扰信号来迷惑中继,当它从源接收。我们提出了两个安全的传输方案,使用缩放的计算和转发技术。其中一个方案是基于随机装箱码,另一个是基于格链码。证明了在高信噪比和中继功率受限的情况下,如果目的地被用作干扰源,则两种方案的性能都优于现有的方案,并且都达到了上界。特别地,当信噪比较大,信源、中继和协作干扰机具有相同的功率和信道时,两种方案都能达到保密率的上界,即每信道使用的$1/2$比特数低于无保密约束的信道容量。我们还证明了我们的方案之一,实现了积极的保密率在外部窃听者的情况下,中继是可信的,存在一个外部窃听者。

英文摘要:

In this paper, we consider communication on a two-hop channel, in which a source wants to send information reliably and securely to the destination via a relay. We consider both the untrusted relay case and the external eavesdropper case. In the untrusted relay case, the relay behaves as an eavesdropper and there is a cooperative node which sends a jamming signal to confuse the relay when the it is receiving from the source. We propose two secure transmission schemes using the scaled compute-and-forward technique. One of the schemes is based on a random binning code and the other one is based on a lattice chain code. It is proved that in either the high Signal-to-Noise-Ratio (SNR) scenario and/or the restricted relay power scenario, if the destination is used as the jammer, both schemes outperform all existing schemes and achieve the upper bound. In particular, if the SNR is large and the source, the relay, and the cooperative jammer have identical power and channels, both schemes achieve the upper bound for secrecy rate, which is merely $1/2$ bit per channel use lower than the channel capacity without secrecy constraints. We also prove that one of our schemes achieves a positive secrecy rate in the external eavesdropper case in which the relay is trusted and there exists an external eavesdropper.

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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