The classical Rician Weichselberger channel and the emerging holographic multiple-input multiple-output (MIMO) channel share a common characteristic of non-separable correlation, which captures the interdependence between transmit and receiver antennas. However, this correlation structure makes it very challenging to characterize the fundamental limits of non-centered (Rician), non-separable MIMO channels. In fact, there is a dearth of existing literature that addresses this specific aspect, underscoring the need for further research in this area. In this paper, we investigate the mutual information (MI) of non-centered non-separable MIMO channels, where both the line-of-sight and non-line-of-sight components are considered. By utilizing random matrix theory (RMT), we set up a central limit theorem for the MI and give the closed-form expressions for its mean and variance. The derived results are then utilized to approximate the ergodic MI and outage probability of holographic MIMO channels. Numerical simulations validate the accuracy of the theoretical results.

翻译：经典Rician Weichselberger信道与新兴的全息多输入多输出（MIMO）信道具有非可分离相关性的共同特征，这种相关性捕获了发射天线与接收天线之间的相互依赖关系。然而，这种相关结构使得表征非中心（Rician）非可分离MIMO信道的基本极限极具挑战性。事实上，现有文献中针对这一特定方面的研究十分匮乏，凸显了在该领域开展进一步研究的必要性。本文研究了非中心非可分离MIMO信道的互信息（MI），其中同时考虑了视距与非视距分量。通过利用随机矩阵理论（RMT），我们建立了MI的中心极限定理，并给出了其均值与方差的闭式表达式。随后，将所得结果用于近似全息MIMO信道的遍历互信息与中断概率。数值仿真验证了理论结果的准确性。