论文标题
K/2自由度的规范条件
Canonical Conditions for K/2 Degrees of Freedom
论文作者
论文摘要
我们为每位用户提供$ 1/2 $自由度的必要条件，以常数$ k $ - 用户单人干扰渠道。此条件适用于所有通道拓扑，即，即完全连接的通道以及没有单个链接的通道，由通道矩阵中的相应零反映。此外，它通过以通用的注射性条件来捕获干扰对齐的本质，该条件可以保证信号和干扰的可分离性。最后，我们为每个用户提供满足我们状况的所有渠道矩阵的代码书构造，为每个用户提供$ 1/2 $的自由度。
We present a necessary and sufficient condition for $1/2$ degree of freedom for each user in constant $K$-user single-antenna interference channels. This condition applies to all channel topologies, i.e., to fully-connected channels as well as channels that have individual links absent, reflected by corresponding zeros in the channel matrix. Moreover, it captures the essence of interference alignment by virtue of being expressed in terms of a generic injectivity condition that guarantees separability of signal and interference. Finally, we provide codebook constructions achieving $1/2$ degree of freedom for each user for all channel matrices satisfying our condition.
