In this paper, we consider the problem of data transmission for ${K}-$ user interference channel (IC) with no channel state information (CSI) at transmitters. Each pair of transceivers with the aid of a particular precoder and a switching pattern structure tries to place its desired signal in a subspace which is linearly independent of interference signals. We show that if the channel values are known only to the receivers, the sum degrees-of-freedom (DoF) of the linear interference alignment (IA) with reconfigurable antenna at receivers is $\frac {{ { Kr}}}{ {r}^{2}- {r}+ {K}}$ , where $ {r} = \left \lceil{ {\frac {\sqrt {1+4 {K}}-1}{2}} }\right \rceil $ . For previous methods when $3 \leq {K} \leq 10^{4}$ , the number of solvable problems to achieve maximum sum DoF is less than 2% of different cases while in our work there is not any limitation on the number of users. In comparison with the previous related works in our proposed method, there is no limit on the number of users and the reception modes. The result indicates that the maximum sum DoF for the ${K}-$ user IC with asymptotically large values of K is $\frac {\sqrt { {K}}}{2}$ . Thus, the sum DoF of such networks using the reconfigurable antenna at receivers grows sublinearly with the number of users, whereas it grows linearly in the case where transmitters have access to CSI.

中文翻译：

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在接收器上使用可重构天线的 K 用户干扰信道的 BIA

在本文中，我们考虑数据传输问题 ${K}-$ 发射机上没有信道状态信息 (CSI) 的用户干扰信道 (IC)。在特定预编码器和切换模式结构的帮助下，每对收发器试图将其所需信号置于与干扰信号线性无关的子空间中。我们表明，如果只有接收器知道信道值，则接收器处可重构天线的线性干扰对齐 (IA) 的总自由度 (DoF) 为 $\frac {{ { Kr}}}{ {r}^{2}- {r}+ {K}}$ ， 在哪里 $ {r} = \left \lceil{ {\frac {\sqrt {1+4 {K}}-1}{2}} }\right \rceil $ . 对于以前的方法，当 $3 \leq {K} \leq 10^{4}$ ，实现最大总和 DoF 的可解决问题的数量少于不同情况的 2%，而在我们的工作中，对用户数量没有任何限制。与我们提出的方法中以前的相关工作相比，没有用户数量和接收模式的限制。结果表明，最大和 DoF 为 ${K}-$ 具有渐近大值的用户 IC 钾 是 $\frac {\sqrt { {K}}}{2}$ . 因此，在接收器处使用可重构天线的此类网络的总和 DoF 随用户数量呈次线性增长，而在发射机有权访问 CSI 的情况下则呈线性增长。