Asymptotic Analysis for Low-Resolution Massive MIMO Systems with MMSE Receiver

TL;DR

This paper derives a precise asymptotic expression for the uplink achievable rate in low-resolution massive MIMO systems with MMSE receivers, accounting for channel estimation errors and quantizer noise, and shows performance can be improved by increasing antennas.

Contribution

It introduces a new MMSE receiver design for low-resolution massive MIMO systems and derives a tight asymptotic rate expression considering practical impairments.

Findings

Performance loss due to low-resolution ADCs can be mitigated by increasing the number of antennas.

The derived asymptotic rate expression accurately predicts system performance.

Numerical simulations validate the theoretical analysis.

Abstract

The uplink achievable rate of massive multiple- input-multiple-output (MIMO) systems, where the low-resolution analog-to-digital converters (ADCs) are assumed to equip at the base station (BS), is investigated in this paper. We assume that only imperfect channel station information is known at the BS. Then a new MMSE receiver is designed by taking not only the Gaussian noise, but also the channel estimation error and quantizer noise into account. By using the Stieltjes transform of random matrix, we further derive a tight asymptotic equivalent for the uplink achievable rate with proposed MMSE receiver. We present a detailed analysis for the number of BS antennas through the expression of the achievable rates and validate the results using numerical simulations. It is also shown that we can compensate the performance loss due to the low-resolution quantization by increasing the number of antennas at the BS.