论文标题

密集的多端纳纳细胞网络的缩放定律

Scaling Laws of Dense Multi-Antenna Cellular Networks

论文作者

AlAmmouri, Ahmad, Andrews, Jeffrey G., Baccelli, Francois

论文摘要

我们研究了多个Antenna细胞网络中信噪比 - 加上噪声比(SINR)和面积光谱效率(ASE)的缩放定律,在独立和相同分布(i.i.d.)的假设下,天线的数量与基站(BS)空间密度$λ$相比,天线的数量缩放。我们从Miso Case首先,使用$ n_t(λ)$传输天线和一个接收天线,并证明平均sinr缩放为$ \ frac {n_t(λ)}λ$,平均ASE缩放为$λ\ log \ log \ weft(1+ \ frac \ frac \ frac {n_t(n_t(λ)}λ\ right)。对于具有单流eigenbeamforming和$ n_r(λ)\ leq n_t(λ)$接收天线的MIMO案例,我们证明条件SINR和ASE的缩放定律不可知至$ n_r(λ)$,并且与MISO案例完全相同。因此,部署多Antenna BSS可以帮助维持非零用户吞吐量和密集蜂窝网络中ASE的相应线性增加。

We study the scaling laws of the signal-to-interference-plus-noise ratio (SINR) and the area spectral efficiency (ASE) in multi-antenna cellular networks, where the number of antennas scales with the base station (BS) spatial density $λ$, under the assumption of independent and identically distributed (i.i.d.) channels. We start with the MISO case with $N_t(λ)$ transmit antennas and a single receive antenna and prove that the average SINR scales as $\frac{N_t(λ)}λ$ and the average ASE scales as $λ\log\left(1+\frac{N_t(λ)}λ\right)$. For the MIMO case with single-stream eigenbeamforming and $N_r(λ) \leq N_t(λ)$ receive antennas, we prove that the scaling laws of the conditional SINR and ASE are agnostic to $N_r(λ)$ and scale exactly the same as the MISO case. Hence, deploying multi-antenna BSs can help maintain non-zero per-user throughput and a corresponding linear increase in the ASE in dense cellular networks.

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