论文标题

在天线子集的振幅约束下褪色矢量高斯通道的能力

The Capacity of Fading Vector Gaussian Channels Under Amplitude Constraints on Antenna Subsets

论文作者

Favano, Antonino, Ferrari, Marco, Magarini, Maurizio, Barletta, Luca

论文摘要

在输入处的峰值幅度约束下,在受褪色影响的矢量高斯通道的容量上的上限。重点是可以在子区域的笛卡尔产物中分解的约束区域。该约束对发射器配置进行建模,该配置采用了许多功率放大器小于或等于发射天线的总数。通常,功率放大器为传输天线的不同子集提供了独立子空间中的输入。得出了两个上限:第一个边界适用于高信噪比(SNR)值,并且正如我们所证明的那样,它在此制度中很紧;第二个上限在低SNR处精确。此外,派生的上限应用于通过为每个传输天线使用独特的功率放大器引起的振幅约束的相关情况。

Upper bounds on the capacity of vector Gaussian channels affected by fading are derived under peak amplitude constraints at the input. The focus is on constraint regions that can be decomposed in a Cartesian product of sub-regions. This constraint models a transmitter configuration employing a number of power amplifiers less than or equal to the total number of transmitting antennas. In general, the power amplifiers feed distinct subsets of the transmitting antennas and partition the input in independent subspaces. Two upper bounds are derived: The first one is suitable for high signal-to-noise ratio (SNR) values and, as we prove, it is tight in this regime; The second upper bound is accurate at low SNR. Furthermore, the derived upper bounds are applied to the relevant case of amplitude constraints induced by employing a distinct power amplifier for each transmitting antenna.

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