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arXiv 1604.05908cs.ITmath.IT
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三维大规模MIMO系统建模与性能分析

3D Massive MIMO Systems: Modeling and Performance Analysis

Qurrat-Ul-Ain Nadeem, Abla Kammoun, Merouane Debbah, Mohamed-Slim Alouini

摘要:

当前LTE版本的多输入多输出(MIMO)系统仅能够在方位角中进行自适应。最近,趋势是通过利用信道在仰角上的自由度来增强系统性能,这需要3D信道的表征。我们提出了一个信息理论的MIMO系统的信道模型,支持海拔维度。该模型是基于最大熵的原则,这使我们能够确定的信道矩阵的分布与先验信息的角度。基于该模型,在一般信干噪比(SINR)条件下,给出了有限发射天线单接收系统的互信息(MI)的累积密度函数(CDF)的解析表达式。结果扩展到系统中的低SINR制度有限的接收天线。在发射天线数和路径数较多的情况下,导出了MI分布渐近行为的高斯近似。我们证实了我们的分析与仿真研究的性能增益可实现通过精心选择的发射天线下倾角,确认仰角波束成形,以提高系统性能的潜力。研究结果直接适用于5G 3D大规模MIMO系统的分析。

英文摘要:

Multiple-input-multiple-output (MIMO) systems of current LTE releases are capable of adaptation in the azimuth only. Recently, the trend is to enhance system performance by exploiting the channel's degrees of freedom in the elevation, which necessitates the characterization of 3D channels. We present an information-theoretic channel model for MIMO systems that supports the elevation dimension. The model is based on the principle of maximum entropy, which enables us to determine the distribution of the channel matrix consistent with the prior information on the angles. Based on this model, we provide analytical expression for the cumulative density function (CDF) of the mutual information (MI) for systems with a single receive and finite number of transmit antennas in the general signal-to-interference-plus-noise-ratio (SINR) regime. The result is extended to systems with finite receive antennas in the low SINR regime. A Gaussian approximation to the asymptotic behavior of MI distribution is derived for the large number of transmit antennas and paths regime. We corroborate our analysis with simulations that study the performance gains realizable through meticulous selection of the transmit antenna downtilt angles, confirming the potential of elevation beamforming to enhance system performance. The results are directly applicable to the analysis of 5G 3D-Massive MIMO-systems.

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