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The Degrees of Freedom Region and Interference Alignment for the MIMO Interference Channel With Delayed CSIT

机译:延迟CSIT的MIMO干扰信道的自由度和干扰对准度

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The degrees of freedom (DoF) region of the two-user multiple-input multiple-output (MIMO) interference channel (IC) is studied under the assumptions of fast fading and delayed channel state information (CSI) at the transmitters (CSIT). Under our fast fading assumption, the channel matrices vary independently across time, so that delayed CSIT is equivalent to outdated CSIT. In particular, the DoF region under delayed CSIT is established for the general MIMO IC with an arbitrary numbers of antennas at each of the four terminals. Toward this end, a set of outer bounds to the DoF region of the general MIMO IC is derived. These bounds are then shown to be tight by developing DoF-region-optimal interference alignment schemes. A comparison of the DoF region of the MIMO IC under the delayed CSIT assumption with those under the two extremes of instantaneous CSIT and no CSIT assumptions is made. This comparison reveals that there are nonempty classes of MIMO ICs, defined by certain relationships between the numbers of antennas at the four terminals, that correspond to each of the following four scenarios: the no CSIT DoF region is strictly contained by, or is equal to, the delayed CSIT DoF region, which in turn is strictly contained by, or is equal to, the instantaneous CSIT DoF region. It is notable that within the class of MIMO ICs for which the delayed CSIT DoF region is strictly larger than the no CSIT DoF region, there is a subclass for which the interference alignment scheme which uses just delayed CSIT achieves the entire DoF region previously known to be achievable only with instantaneous CSIT.
机译:在发射机(CSIT)具有快速衰落和延迟信道状态信息(CSI)的假设下,研究了两用户多输入多输出(MIMO)干扰信道(IC)的自由度(DoF)区域。在我们快速衰落的假设下,信道矩阵随时间独立变化,因此延迟的CSIT等同于过时的CSIT。特别地,针对在四个端子中的每个端子处具有任意数量的天线的通用MIMO IC,建立了延迟CSIT下的DoF区域。为此,得出了通用MIMO IC的DoF区域的一组外部边界。通过开发DoF区域最佳干扰对齐方案,可以证明这些边界是紧密的。比较了延迟CSIT假设下的MIMO IC的DoF区域与瞬时CSIT的两种极端情况下的无干扰区域(没有CSIT假设)。这种比较表明,存在非空的MIMO IC类,由四个终端的天线数量之间的特定关系定义,对应于以下四种情况:no CSIT DoF区域严格包含于或等于,即延迟CSIT DoF区域,该区域又严格地包含在瞬时CSIT DoF区域中,或者等于该区域。值得注意的是,在其中延迟CSIT DoF区域严格大于无CSIT DoF区域的MIMO IC类别中,有一个子类,仅使用延迟CSIT的干扰对准方案可以实现先前已知的整个DoF区域,仅通过瞬时CSIT才能实现。

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