arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1209.1402cs.ITmath.IT
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联合空分复用

Joint Spatial Division and Multiplexing

Ansuman Adhikary, Junyoung Nam, Jae-Young Ahn, Giuseppe Caire

摘要:

我们提出了联合空分复用(JSDM),一种多用户MIMO下行链路的方法,利用信道向量的相关性的结构,以允许大量的天线在基站,同时需要在发射机(CSIT)的降维信道状态信息。这允许在下行链路训练和从用户终端到基站的CSIT反馈中的显著节省,从而使得大量基站天线的使用也潜在地适合于频分双工(FDD)系统,对于频分双工(FDD)系统,不能利用上行链路/下行链路信道互易性。JSDM通过级联预波束成形矩阵来形成多用户MIMO下行链路预编码器,该预波束成形矩阵仅取决于信道二阶统计,基于所得的降维有效信道的瞬时知识,具有经典的多用户预编码器。我们证明了一个简单的条件下,JSDM招致没有损失的最优性方面的完整CSIT的情况下。对于均匀线阵,我们证明了当天线数很大时,这种条件非常接近。对于这种情况下,我们使用Szego渐近理论的大Toeplitz矩阵设计一个基于DFT的预波束形成方案,只需要粗略的信息,用户的到达角和角扩展。最后,我们将这些想法扩展到二维基站天线阵列的情况下,与3维波束形成,包括多个波束的仰角方向。我们提供了预波束形成优化的指导方针,并计算系统的频谱效率下的比例公平和最大最小公平标准,表现出非常有吸引力的性能。我们的数值结果是通过一个渐近随机矩阵理论工具,被称为确定性等效近似。

英文摘要:

We propose Joint Spatial Division and Multiplexing (JSDM), an approach to multiuser MIMO downlink that exploits the structure of the correlation of the channel vectors in order to allow for a large number of antennas at the base station while requiring reduced-dimensional Channel State Information at the Transmitter (CSIT). This allows for significant savings both in the downlink training and in the CSIT feedback from the user terminals to the base station, thus making the use of a large number of base station antennas potentially suitable also for Frequency Division Duplexing (FDD) systems, for which uplink/downlink channel reciprocity cannot be exploited. JSDM forms the multiuser MIMO downlink precoder by concatenating a pre-beamforming matrix, which depends only on the channel second-order statistics, with a classical multiuser precoder, based on the instantaneous knowledge of the resulting reduced dimensional effective channels. We prove a simple condition under which JSDM incurs no loss of optimality with respect to the full CSIT case. For linear uniformly spaced arrays, we show that such condition is closely approached when the number of antennas is large. For this case, we use Szego asymptotic theory of large Toeplitz matrices to design a DFT-based pre-beamforming scheme requiring only coarse information about the users angles of arrival and angular spread. Finally, we extend these ideas to the case of a two-dimensional base station antenna array, with 3-dimensional beamforming, including multiple beams in the elevation angle direction. We provide guidelines for the pre-beamforming optimization and calculate the system spectral efficiency under proportional fairness and maxmin fairness criteria, showing extremely attractive performance. Our numerical results are obtained via an asymptotic random matrix theory tool known as deterministic equivalent approximation.

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