  Utilizing low-resolution analog-to-digital converters (ADCs) in uplink
massive multiple-input multiple-output (MIMO) systems is a practical solution
to decrease power consumption. The performance gap between the low and
high-resolution systems is small at low signal-to-noise ratio (SNR) regimes.
However, at high SNR and with high modulation orders, the achievable rate
saturates after a finite SNR value due to the stochastic resonance (SR)
phenomenon. This paper proposes a novel pseudo-random quantization (PRQ) scheme
by modifying the quantization thresholds that can help compensate for the
effects of SR and makes communication with high-order modulation schemes such
as $1024$-QAM in one-bit quantized uplink massive MIMO systems possible.
Moreover, modified linear detectors for non-zero threshold quantization are
derived, and a two-stage uplink detector for single-carrier (SC) multi-user
systems is proposed. The first stage is an iterative method called Boxed Newton
Detector (BND) that utilizes Newton's Method to maximize the log-likelihood
with box constraints. The second stage, Nearest Codeword Detector (NCD),
exploits the first stage solution and creates a small set of most likely
candidates based on sign constraints to increase detection performance. The
proposed two-stage method with PRQ outperforms the state-of-the-art detectors
from the literature with comparable complexity while supporting high-order
modulation schemes.
