In this paper, the Hermite polynomials are employed to study linear approximation models of narrowband multiantenna signal reception (i.e., MIMO) with low-resolution quantizations. This study results in a novel linear approximation using the second-order Hermite expansion (SOHE). The SOHE model is not based on those assumptions often used in existing linear approximations. Instead, the quantization distortion is characterized by the second-order Hermite kernel, and the signal term is characterized by the first-order Hermite kernel. It is shown that the SOHE model can explain almost all phenomena and characteristics observed so far in the low-resolution MIMO signal reception. When the SOHE model is employed to analyze the linear minimum-mean-square-error (LMMSE) channel equalizer, it is revealed that the current LMMSE algorithm can be enhanced by incorporating a symbol-level normalization mechanism. The performance of the enhanced LMMSE algorithm is demonstrated through computer simulations for narrowband MIMO systems in Rayleigh fading channels.

翻译：在本文中,Hermite 多元分子模型用于研究具有低分辨率分解的窄带多ANTERNA信号接收(即MIMO)的线性近似模型。本研究利用第二级Hermite扩展(SOHE)得出了一个新的线性近近似模型。SOHE模型并非基于现有线性近似中经常使用的假设。相反,四分法扭曲的特征是第二级Hermite内核,信号术语的特征是第一级Hermite内核。它表明SOHE模型可以解释迄今为止在低分辨率MIMO信号接收中观察到的几乎所有现象和特征。当SOHE模型用于分析线性最低平均值方程式(LMMSE)通道平衡器时,可以发现目前的LMMSE算法可以通过一个符号级正常化机制得到加强。在Rayleigh 排泄通道对窄带MIMO系统进行计算机模拟来显示增强的LMMSE算法的性。