论文标题
ADC的高斯窃听通道的保密能力始终为正
Secrecy Capacity of a Gaussian Wiretap Channel With ADCs is Always Positive
论文作者
论文摘要
我们考虑一个复杂的高斯窃听通道，在合法的接收器和窃听器上都具有有限分辨率的类似物对数字转换器（ADC）。对于此渠道，我们表明，只要合法接收器和窃听器的频道在合法的接收器上获得的频道增加，无论ADC的量化水平如何，始终可以实现正面的保密率。为了达到可达到的性能，我们首先考虑合法接收器的一位ADC的情况，并应用二进制输入分布，当合法接收器处的频道增益小于窃听器，否则相反的阶段时，两个输入点具有相同的阶段。然后，通过适当地翻译输入分布，将结果概括为合法接收器的任意有限分辨率ADC的情况。对于合法接收器和Eavesdropper的一位ADC的真实高斯窃听通道的特殊情况，我们表明我们对输入分布的选择满足了Wyner代码最佳分布的必要条件。
We consider a complex Gaussian wiretap channel with finite-resolution analog-to-digital converters (ADCs) at both the legitimate receiver and the eavesdropper. For this channel, we show that a positive secrecy rate is always achievable as long as the channel gains at the legitimate receiver and at the eavesdropper are different, regardless of the quantization levels of the ADCs. For the achievability, we first consider the case of one-bit ADCs at the legitimate receiver and apply a binary input distribution where the two input points have the same phase when the channel gain at the legitimate receiver is less than that at the eavesdropper, and otherwise the opposite phase. Then the result is generalized for the case of arbitrary finite-resolution ADCs at the legitimate receiver by translating the input distribution appropriately. For the special case of the real Gaussian wiretap channel with one-bit ADCs at both the legitimate receiver and the eavesdropper, we show that our choice of input distribution satisfies a necessary condition of optimal distributions for Wyner codes.
