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Free probability based capacity calculation of multiantenna Gaussian fading channels with cochannel interference

机译：基于自由概率的同信道干扰多天线高斯衰落信道容量计算

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During the last decade, it has been well understood that communication over multiple antennas can increase linearly the multiplexing capacity gain and provide large spectral efficiency improvements. However, the majority of studies in this area were carried out ignoring cochannel interference. Only a small number of investigations have considered cochannel interference, but even therein simple channel models were employed, assuming identically distributed fading coefficients. In this paper, a generic model for a multiantenna channel is presented incorporating four impairments, namely additive white Gaussian noise, flat fading, path loss and cochannel interference. Both point-to-point and multiple-access MIMO channels are considered, including the case of cooperating Base Station clusters. The asymptotic capacity limit of this channel is calculated based on an asymptotic free probability approach which exploits the additive and multiplicative free convolution in the R- and S-transform domains, respectively, as well as properties of the ?) and Stieltjes transform. Numerical results are utilized to verify the accuracy of the derived closed-form expressions and evaluate the effect of the cochannel interference.
机译：在过去的十年中，众所周知，通过多个天线进行的通信可以线性增加复用容量增益，并大大提高频谱效率。但是，该领域的大多数研究都忽略了同信道干扰。只有很少的研究考虑了同信道干扰，但是即使假设其中分布的衰落系数相同，即使在其中也采用了简单的信道模型。在本文中，提出了一种包含四个减损的多天线信道通用模型，即加性高斯白噪声，平坦衰落，路径损耗和同信道干扰。考虑了点对点和多址MIMO信道，包括协作基站集群的情况。此通道的渐近容量极限是根据渐近自由概率方法计算的，该方法分别利用R和S变换域中的加法和乘法自由卷积以及α）和Stieltjes变换的性质。利用数值结果来验证导出的封闭形式表达式的准确性，并评估同频干扰的影响。

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