This work studies the secrecy-capacity of a scalar-Gaussian wiretap channel with an amplitude constraint on the input. It is known that for this channel, the secrecy-capacity-achieving distribution is discrete with finitely many points. This work improves such result by showing an upper bound of the order $\frac{\mathsf{A}}{\sigma_1^2}$ where $\mathsf{A}$ is the amplitude constraint and $\sigma_1^2$ is the variance of the Gaussian noise over the legitimate channel.

翻译：这项工作研究一个对输入有振幅限制的calar-Gausian窃听频道的保密能力。 众所周知, 对于这个频道来说, 保密能力分布是离散的, 有很多点。 这项工作通过显示 $\ frac\ mathsf{ A ⁇ sgma_ 1 ⁇ 2} 的上限, $\ mathsf{ A} 来显示音量限制, $\ sigma_ 1 ⁇ 2$ 和$\ sigma_ 1 ⁇ 2$ 是高斯族在合法频道上的噪音差异, 从而改进了这一结果 。