Uncoded Binary Signaling through Modulo AWGN Channel

TL;DR

This paper investigates optimal binary signaling over a scalar modulo AWGN channel, proposing iterative estimation methods to minimize error probability in scenarios with partial receiver information, addressing practical limitations of asymptotic analyses.

Contribution

It introduces an iterative estimation approach for binary signaling with partial receiver information, improving error performance in finite-dimensional or delay-limited settings.

Findings

Iterative estimation reduces error probability in partial information scenarios

Performance of different estimators demonstrated through simulations

Optimal signaling strategies depend on receiver information availability

Abstract

Modulo-wrapping receivers have attracted interest in several areas of digital communications, including precoding and lattice coding. The asymptotic capacity and error performance of the modulo AWGN channel have been well established. However, due to underlying assumptions of the asymptotic analyses, these findings might not always be realistic in physical world applications, which are often dimension- or delay-limited. In this work, the optimum ways to achieve minimum probability of error for binary signaling through a scalar modulo AWGN channel is examined under different scenarios where the receiver has access to full or partial information. In case of partial information at the receiver, an iterative estimation rule is proposed to reduce the error rate, and the performance of different estimators are demonstrated in simulated experiments.