Capacity Scaling Law in Massive MIMO with Antenna Selection

TL;DR

This paper analyzes the sum-rate capacity of massive MIMO uplink channels with antenna selection under Nakagami fading, deriving bounds and showing capacity growth is double logarithmic with the number of antennas.

Contribution

It introduces a mathematically tractable sum-rate capacity upper bound and a deterministic equivalent for massive MIMO with antenna selection, revealing double logarithmic growth.

Findings

Sum-rate capacity grows double logarithmically with the number of BS antennas.

Derived a capacity upper bound for massive MIMO with antenna selection.

Confirmed analytical results through numerical experiments.

Abstract

Antenna selection is capable of handling the cost and complexity issues in massive multiple-input multiple-output (MIMO) channels. The sum-rate capacity of a multiuser massive MIMO uplink channel is characterized under the Nakagami fading. A mathematically tractable sum-rate capacity upper bound is derived for the considered system. Moreover, for a sufficiently large base station (BS) antenna number, a deterministic equivalent (DE) of the sum-rate bound is derived. Based on this DE, the sum-rate capacity is shown to grow double logarithmically with the number of BS antennas. The validity of the analytical result is confirmed by numerical experiments.