线性矢量通道解耦原理的微观分析
Microscopic Analysis for Decoupling Principle of Linear Vector Channel
摘要：
本文研究了线性矢量信道的解耦原理，线性矢量信道是CDMA和MIMO信道的扩展。我们表明，通过解耦原理获得的标量信道表征不仅对大量输入向量元素的集合有效，如先前的研究中所讨论的，而且对输入向量的单个元素也有效，即信道输入向量的单个元素的线性向量信道在大系统极限中被分解为一组独立的标量高斯信道，其中通道输入和输出的维度都被发送到无穷大，而它们的比率固定。
英文摘要：
This paper studies the decoupling principle of a linear vector channel, which is an extension of CDMA and MIMO channels. We show that the scalar-channel characterization obtained via the decoupling principle is valid not only for collections of a large number of elements of input vector, as discussed in previous studies, but also for individual elements of input vector, i.e. the linear vector channel for individual elements of channel input vector is decomposed into a bank of independent scalar Gaussian channels in the large-system limit, where dimensions of channel input and output are both sent to infinity while their ratio fixed.
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