发表机构
Centre for Wireless Communications, University of Oulu（奥卢大学无线通信中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对非视距全息MIMO信道，提出用双变量vMF分布建模不可分离散射，并证明其可提升遍历频谱效率，数值验证了性能优势。
AI 中文摘要
尽管散射本质上是不可分离的，但全息多输入多输出信道通常采用源端和接收端可分离散射的模型。本文研究基于波数分割复用的非视距全息线模型中的不可分离散射。我们使用双变量von Mises-Fisher（vMF）分布对其功率谱因子（PSF）进行建模，并引入一个不可分离性参数。我们证明了边际密度趋于平坦，且其与均匀分布的Kullback-Leibler散度随不可分离性单调递减。利用主化理论，我们进一步证明了遍历频谱效率的上界和低信噪比（SNR）下的近似值单调递增。数值结果验证了分析，并展示了不可分离散射相对于可分离散射的性能增益。
英文摘要
Although scattering is inherently non-separable, holographic multiple-input multiple-output channels are commonly modeled using separable scattering across the source and receiver. In this paper, we investigate non-separable scattering in a non-line-of-sight holographic line model based on wavenumber-division multiplexing. We model its power spectral factor (PSF) using a bivariate von Mises-Fisher (vMF) distribution and introduce a non-separability parameter. We prove that the marginal densities flatten and their Kullback--Leibler divergence from the uniform distribution decreases monotonically with non-separability. Using majorization theory, we further establish that an upper bound and an approximation at low signal-to-noise ratio (SNR) of the ergodic spectral efficiency increase monotonically. Numerical results validate the analysis and demonstrate the performance gains of non-separable scattering over its separable counterpart.
CommentsSubmitted to IEEE Wireless Communications Letters
