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On the Multi-cell Processing Capacity of the Cellular MIMO Uplink Channel in Correlated Rayleigh Fading Environment

机译:相关瑞利衰落环境下蜂窝MIMO上行信道的多小区处理能力研究

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摘要

In the context of cellular systems, it has been shown that multicell processing can eliminate inter-cell interference and provide high spectral efficiencies with respect to traditional interference-limited implementations. Moreover, it has been proved that the multiplexing sum-rate capacity gain of multicell processing systems is proportional to the number of Base Station (BS) antennas. These results have been also established for cellular systems, where BSs and User Terminals (UTs) are equipped with multiple antennas. Nevertheless, a common simplifying assumption in the literature is the uncorrelated nature of the Rayleigh fading coefficients within the BS-UT MIMO links. In this direction, this paper investigates the ergodic multicell-processing sum-rate capacity of the Gaussian MIMO Cellular Multiple-Access Channel in a correlated fading environment. More specifically, the multiple antennas of both BSs and UTs are assumed to be correlated according to the Kronecker product model. Furthermore, the current system model considers Rayleigh fading, uniformly distributed User Terminals (UTs) over a planar coverage area and powerlaw path loss. Based on free probabilistic arguments, the empirical eigenvalue distribution of the channel covariance matrix is derived and it is used to calculate both Optimal Joint Decoding and Minimum Mean Square Error (MMSE) Filtering capacity. In addition, numerical results are presented, where the per-cell sum-rate capacity is evaluated while varying the cell density of the system, as well as the level of fading correlation. In this context, it is shown that the capacity performance is greatly compromised by BS-side correlation, whereas UT-side correlation has a negligible effect on the system’s performance. Furthermore, MMSE performance is shown to be greatly suboptimal but more resilient to fading correlation in comparison to optimal decoding.
机译:在蜂窝系统的上下文中,已经表明,相对于传统的受干扰限制的实现方式,多小区处理可以消除小区间干扰并提供高频谱效率。此外,已经证明,多小区处理系统的复用总和速率容量增益与基站(BS)天线的数量成比例。这些结果也已经为蜂窝系统建立,其中BS和用户终端(UT)配备了多个天线。尽管如此,文献中一个常见的简化假设是BS-UT MIMO链路内瑞利衰落系数的不相关性质。在这个方向上,本文研究了相关衰落环境下高斯MIMO蜂窝多址接入信道的遍历多小区处理总速率能力。更具体地,假设根据Kronecker乘积模型来将BS和UT两者的多个天线相关。此外,当前的系统模型考虑了瑞利衰落,在平面覆盖区域上均匀分布的用户终端(UT)和幂律路径损耗。基于自由概率论,推导信道协方差矩阵的经验特征值分布,并将其用于计算最佳联合解码和最小均方误差(MMSE)滤波能力。此外,还给出了数值结果,其中在改变系统的信元密度以及衰落相关性水平的同时,评估了每个信元的总速率容量。在这种情况下,表明BS侧相关性极大地损害了容量性能,而UT侧相关性对系统性能的影响可忽略不计。此外,与最佳解码相比,MMSE性能被证明是次优的,但对衰落相关性更具弹性。

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