A New Outer Bound via Interference Localization and the Degrees of Freedom Regions of MIMO Interference Networks With No CSIT
A New Outer Bound via Interference Localization and the Degrees of Freedom Regions of MIMO Interference Networks With No CSIT
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通过干扰定位的新外界和无 CSIT 的 MIMO 干扰网络的自由度区域
DOI：
10.1109/tit.2012.2208936
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发表时间：
2011
影响因子：
2.5
通讯作者：
M. Varanasi
中科院分区：
文献类型：
--
作者：
C. Vaze;M. Varanasi
考虑了两用户多输入多输出(MIMO)干扰和认知无线电信道，其中第i个发射机和第i个接收机分别具有Mi和Ni天线。特别地，在发射机没有信道状态信息的假设下，研究了这些信道的自由度(DoF)区域。分别对递增一般性的信道矩阵的分布作了某些假设，并且本文的作者刻画了MIMO干扰信道的DOF区域对于四元组(M<sup>1</sup><sup>1</sup>、M<sup>2</sup><sup>2</sup>、N<sup>2</sup><sup>2</sup>、<sup>2</sup>或min<sup>2</sup>)的所有值的DOF区域，除了当min(M<sup>I</sup><sup>2</sup><sup>SUB</sup>、N<sup>I</sup><sup>I</sup><sup>2</sup><sup>SUB</sup>；<sup>N</sup><sup>I</sup><sup>I</sup><sup>2</sup>时；<I>M</I><SUB>1</SUB>。最近，对于各向同性衰落分布，朱和郭解决了后一种情况，提供了到DOF区域的紧外界。这里，基于干扰局部化的思想，给出了一个更简单、更广泛适用的外界证明。使用相同的思想，在瑞利衰落下，然后还为MIMO认知无线电信道(当第二发射机是认知性的时)建立DoF区域，其中min(<i>M</i><sub>1</sub>+<i>M</i><sub>2</sub>，N<sup>N</sup><sup>1</sup><sup>2</sup>，2<sup>I</sup>-作者先前报告的内和外部边界不紧的唯一类别，从而完成了该信道在瑞利衰落下针对(<sup>M</sup>1<sup>1</sup>，<sup>2</sup>)的所有值的DoF区域表征。
The two-user multiple-input multiple-output (MIMO) interference and cognitive radio channels are considered, where the <i>i</i>th transmitter and the <i>i</i>th receiver have <i>M</i><sub>i</sub> and <i>N</i><sub>i</sub> antennas, respectively. In particular, the degrees of freedom (DoF) regions of these channels are studied under the assumption of having no channel state information at the transmitters. Making certain assumptions about the distributions of channel matrices of increasing generality respectively, Huang, Zhu and Guo, and the authors of this paper characterized the DoF region of the MIMO interference channel for all values of the four-tuple (<i>M</i><sub>1</sub>, <i>M</i><sub>2</sub>, <i>N</i><sub>1</sub>, <i>N</i><sub>2</sub>), except when min(<i>M</i><sub>1</sub>, <i>N</i><sub>1</sub>) >; <i>N</i><sub>2</sub> >; <i>M</i><sub>2</sub> or min(<i>M</i><sub>2</sub>, <i>N</i><sub>2</sub>) >; <i>N</i><sub>1</sub> >; <i>M</i><sub>1</sub>. More recently, for isotropic fading distributions, Zhu and Guo have solved this latter case by providing a tight outer bound to the DoF region. Here, a simpler and more widely applicable proof of that outer bound is given based on the idea of interference localization. Using the same idea, under Rayleigh fading, the DoF region is then also established for the MIMO cognitive radio channel (when the second transmitter is cognitive) with min(<i>M</i><sub>1</sub>+<i>M</i><sub>2</sub>, <i>N</i><sub>1</sub>) >; <i>N</i><sub>2</sub> >; <i>M</i><sub>2</sub>-the only class for which the inner and outer bounds previously reported by the authors were not tight-thereby completing the DoF region characterization of this channel under Rayleigh fading for all values of (<i>M</i><sub>1</sub>, <i>M</i><sub>2</sub>, <i>N</i><sub>1</sub>, <i>N</i><sub>2</sub>).