Analytical Approximation of the Channel Rate for Massive MIMO System With Large But Finite Number of Antennas
Analytical Approximation of the Channel Rate for Massive MIMO System With Large But Finite Number of Antennas
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DOI：
10.1109/access.2017.2787668
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发表时间：
2018
期刊：
影响因子：
3.9
通讯作者：
Rugui Yao;Tong Li;Yinsheng Liu;Xiaoya Zuo;Hailong Liu
中科院分区：
文献类型：
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作者：
Rugui Yao;Tong Li;Yinsheng Liu;Xiaoya Zuo;Hailong Liu
在实际的大规模多输入多输出（MIMO）系统中，基站（BS）上有限的发射天线不能保证理想的正交性，从而无法达到理论信道速率。在本文中，我们考虑的信道速率的近似配置的大规模MIMO系统中，但有限数量的天线在BS。引入扰动矩阵来模拟非理想正交性。然后，利用行列式的泰勒展开，推导出了可达信道速率的封闭形式。理论上证明了泰勒展开式的收敛性，并进行了数值模拟.数值结果表明，与实际速率相比，我们的信道速率计算可以得到更好的近似，特别是在高扩展阶数和大量天线的情况下。
In practical massive multiple-input–multiple-output (MIMO) system, limited transmitted antennas installed at the base station (BS) cannot guarantee the ideal orthogonality and the theoretical channel rate cannot thus be achieved. In this paper, we consider the approximation of channel rate for the configuration of large but finite number of antennas at BS in a massive MIMO system. A perturbation matrix is introduced to model the non-ideal orthogonality. And then, Taylor expansion of determinant is utilized to derive the closed form of the achievable channel rate. The convergence of the Taylor expansion is theoretically proved and simulated. Numerical results show that our calculation of channel rate can get a better approximation compared with the practical rate, especially in the case of high expansion order and large number of antennas.