Abstract

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 ${N_{t(\lambda ){/_\lambda }}}$ and the average ASE scales as $\lambda \log \left( {1 + {N_{t(\lambda ){/_\lambda }}}} \right)$. For the MIMO case with singlestream eigenbeamforming and N r (λ) ≤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 nonzero per-user throughput and a corresponding linear increase in the ASE in dense cellular networks.

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