## Capacity Scaling of Single-source Wireless Networks: Effect of Multiple Antennas

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Jeon, Sang-Woon

Chung, Sae-Young

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We consider a wireless network in which a single source node located at the
center of a unit area having $m$ antennas transmits messages to $n$ randomly
located destination nodes in the same area having a single antenna each. To
achieve the sum-rate proportional to $m$ by transmit beamforming, channel state
information (CSI) is essentially required at the transmitter (CSIT), which is
hard to obtain in practice because of the time-varying nature of the channels
and feedback overhead. We show that, even without CSIT, the achievable sum-rate
scales as $\Theta(m\log m)$ if a cooperation between receivers is allowed. By
deriving the cut-set upper bound, we also show that $\Theta(m\log m)$ scaling
is optimal. Specifically, for $n=\omega(m^2)$, the simple TDMA-based
quantize-and-forward is enough to achieve the capacity scaling. For
$n=\omega(m)$ and $n=\operatorname{O}(m^2)$, on the other hand, we apply the
hierarchical cooperation to achieve the capacity scaling.

Comment: Submitted to the IEEE Transactions on Information Theory

Comment: Submitted to the IEEE Transactions on Information Theory

##### Keywords

Computer Science - Information Theory