This article shows that the capacity region of a two users weak Gaussian interference channel can be achieved using single letter Gaussian code-books. It is shown that the upper concave envelope of the capacity region can be achieved using at most two time-sharing phases. In one phase, both users are active, while in the second phase, if it exists, only a single user is active. It is shown that the boundary of the capacity region can be traversed continuously through incremental reallocation of power between the messages of each user. Finally, it is established that the solution to the Han-Kobayashi achievable rate region, with single letter Gaussian code-books, achieves the optimum boundary.

翻译：本文证明了两用户弱高斯干扰信道的容量区域可以通过单字母高斯码本实现。研究表明，容量区域的上凹包络最多可通过两个时隙共享相位实现。在一个相位中，两个用户同时激活；而在第二个相位（若存在）中，仅有一个用户激活。论证表明，通过各用户消息间功率的增量重新分配，可以连续遍历容量区域的边界。最终，本文确立了采用单字母高斯码本的Han-Kobayashi可达速率域的解能够达到最优边界。