Quadratic Detection in Noncoherent Massive SIMO Systems over Correlated Channels

TL;DR

This paper investigates energy-based modulation detection in noncoherent massive SIMO systems with correlated channels, revealing fundamental error floors and proposing quadratic detectors to improve reliability in IIoT applications.

Contribution

It introduces a quadratic detection framework that extends energy detection, optimizing receiver design based on statistical channel knowledge for better performance.

Findings

Fundamental error floor exists at high SNR for multi-level constellations without transmitter CSI.

Quadratic detectors outperform traditional energy detectors in moderate and high SNR regimes.

Analytic approximation of error probability in large array regimes is validated numerically.

Abstract

With the goal of enabling ultrareliable and low-latency wireless communications for industrial internet of things (IIoT), this paper studies the use of energy-based modulations in noncoherent massive single-input multiple-output (SIMO) systems. We consider a one-shot communication over a channel with correlated Rayleigh fading and colored Gaussian noise, in which the receiver has statistical channel state information (CSI). We first provide a theoretical analysis on the limitations of unipolar pulse-amplitude modulation (PAM) in systems of this kind, based on maximum likelihood detection. The existence of a fundamental error floor at high signal-to-noise ratio (SNR) regimes is proved for constellations with more than two energy levels, when no (statistical) CSI is available at the transmitter. In the main body of the paper, we present a design framework for quadratic detectors that generalizes the widely-used energy detector, to better exploit the statistical knowledge of the channel. This allows us to design receivers optimized according to information-theoretic criteria that exhibit lower error rates at moderate and high SNR. We subsequently derive an analytic approximation for the error probability of a general class of quadratic detectors in the large array regime. Finally, we numerically validate it and discuss the outage probability of the system.