Non-coherent Massive SIMO Systems in ISI Channels: Constellation Design and Performance Analysis

TL;DR

This paper proposes a constellation design for massive SIMO systems in ISI channels that minimizes symbol-error rate and demonstrates improved performance over traditional PAM, especially in large antenna regimes.

Contribution

A novel constellation design tailored for non-coherent massive SIMO systems in ISI channels, optimizing SER with channel statistics and reducing antenna requirements.

Findings

The proposed constellation outperforms PAM in SER performance.

Asymptotic SER decreases linearly with the number of antennas.

Fewer antennas are needed to achieve the same error rate with the new design.

Abstract

A massive single-input multiple-output (SIMO) system with a single transmit antenna and a large number of receive antennas in intersymbol interference (ISI) channels is considered. Contrast to existing energy detection (ED)-based non-coherent receiver where conventional pulse amplitude modulation (PAM) is employed, we propose a constellation design which minimizes the symbol-error rate (SER) with the knowledge of channel statistics. To make a comparison, we derive the SERs of the ED-based receiver with both the proposed constellation and PAM, namely $P_{e\_opt}$ and $P_{e\_pam}$. Specifically, asymptotic behaviors of the SER in regimes of a large number of receive antennas and high signal-to-noise ratio (SNR) are investigated. Analytical results demonstrate that the logarithms of both $P_{e\_opt}$ and $P_{e\_pam}$ decrease approximately linearly with the number of receive antennas, while $P_{e\_opt}$ degrades faster. It is also shown that the proposed design is of less cost, because compared with PAM, less antennas are required to achieve the same error rate.