Polar-Coded Non-Coherent Communication

TL;DR

This paper introduces a polar-coded transmission scheme with joint channel estimation and decoding for non-coherent channels, demonstrating significant performance gains over traditional methods and approaching coherent receiver performance.

Contribution

It proposes a novel polar-coded transmission scheme that jointly estimates the channel and decodes data, improving non-coherent communication performance.

Findings

Up to 2 dB gain over pilot-assisted transmission at FER of 10^{-4}

Performs within a few tenths of a dB of a coherent receiver with perfect CSI

Outperforms FER upper bounds in Rayleigh block-fading channels

Abstract

A polar-coded transmission (PCT) scheme with joint channel estimation and decoding is proposed for channels with unknown channel state information (CSI). The CSI is estimated via successive cancellation (SC) decoding and the constraints imposed by the frozen bits. SC list decoding with an outer code improves performance, including resolving a phase ambiguity when using quadrature phase-shift keying (QPSK) and Gray labeling. Simulations with 5G polar codes and QPSK show gains of up to $2$~dB at a frame error rate (FER) of $10^{-4}$ over pilot-assisted transmission for various non-coherent models. Moreover, PCT performs within a few tenths of a dB to a coherent receiver with perfect CSI. For Rayleigh block-fading channels, PCT outperforms an FER upper bound based on random coding and within one dB of a lower bound.