论文标题

高斯窃听通道的保密能力,并有限制的帮助

The Secrecy Capacity of The Gaussian Wiretap Channel with Rate-Limited Help

论文作者

Loyka, Sergey, Merhav, Neri

论文摘要

在合法接收器(RX)或/和/和发射器(TX)上获得的高斯窃听通道可在各种通道配置(降级,逆转降解和不降级)下进行研究。对于RX帮助和所有渠道配置,率有限的帮助导致保密能力的提升等于帮助率,而不论帮助是否安全,因此帮助的保密性不会增加任何能力。秘密容量对反向下降的通道(无螺旋的保密能力为零)是正面的,并且不需要窃听编码才能实现它。合法接收器的更多噪声有时会导致更高的保密能力。即使助手意识到正在传递的消息,也不会增加带有RX帮助的保密能力。如果发射器(编码器)可以使用非安全的帮助,则相同的保密能力提升还可以保持,除了或代替相同的RX帮助外,因此,在联合TX/RX帮助的情况下,可以省略一个帮助链接而不会影响能力。如果RX/TX帮助链接彼此独立,则保密能力的提升是帮助率的总和,而不会损失无能力而不会省略链接。接收器和窃听噪声的非单明相关性不会影响保密的能力和非因果帮助不会导致因果关系增加的任何能力增加。

The Gaussian wiretap channel with rate-limited help, available at the legitimate receiver (Rx) or/and transmitter (Tx), is studied under various channel configurations (degraded, reversely degraded and non-degraded). In the case of Rx help and all channel configurations, the rate-limited help results in a secrecy capacity boost equal to the help rate irrespective of whether the help is secure or not, so that the secrecy of help does not provide any capacity increase. The secrecy capacity is positive for the reversely-degraded channel (where the no-help secrecy capacity is zero) and no wiretap coding is needed to achieve it. More noise at the legitimate receiver can sometimes result in higher secrecy capacity. The secrecy capacity with Rx help is not increased even if the helper is aware of the message being transmitted. The same secrecy capacity boost also holds if non-secure help is available to the transmitter (encoder), in addition to or instead of the same Rx help, so that, in the case of the joint Tx/Rx help, one help link can be omitted without affecting the capacity. If Rx/Tx help links are independent of each other, then the boost in the secrecy capacity is the sum of help rates and no link can be omitted without a loss in the capacity. Non-singular correlation of the receiver and eavesdropper noises does not affect the secrecy capacity and non-causal help does not bring in any capacity increase over the causal one.

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