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Generalized Degrees of Freedom of the Symmetric User Interference Channel Under Finite Precision CSIT

机译:有限精度CSIT下对称用户干扰信道的广义自由度

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The generalized degrees of freedom (GDoF) characterization of the symmetric user interference channel is obtained under finite precision channel state information at the transmitters (CSIT). The symmetric setting is where each cross channel is capable of carrying DoF, while each direct channel is capable of carrying 1 DoF. Remarkably, under finite precision CSIT the symmetric user interference channel loses all the GDoF benefits of interference alignment. The GDoF per user diminish with the number of users everywhere except in the very strong (optimal for every receiver to decode all messages) and very weak (optimal to treat all interference as noise) interference regimes. The result stands in sharp contrast to prior work on the symmetric setting under perfect CSIT, where the GDoF per user remain undiminished due to interference alignment. The result also stands in contrast to prior work on a subclass of asymmetric settings under finite precision CSIT, i.e., the topological interference management problem, where interference alignment plays a crucial role and provides substantial GDoF benefits.
机译:对称用户干扰信道的广义自由度(GDoF)表征是在发射机(CSIT)的有限精度信道状态信息下获得的。对称设置是每个交叉通道都可以承载DoF,而每个直接通道都可以承载1 DoF。值得注意的是,在有限精度CSIT下,对称用户干扰信道会失去干扰对准的所有GDoF好处。每个用户的GDoF随各地的用户数量而减少,除了在非常强(每个接收器都对所有消息进行解码的最佳方式)和非常弱(对于将所有干扰视为噪声的最佳方式)的干扰机制中。结果与先前在完美CSIT下进行对称设置的工作形成鲜明对比,后者由于干扰对齐而使每个用户的GDoF保持不变。该结果还与先前在有限精度CSIT下对不对称设置的子类进行的工作相反,即拓扑干扰管理问题,其中干扰对齐起着关键作用并提供了巨大的GDoF好处。

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