Coded Modulation Schemes for Voronoi Constellations

TL;DR

This paper introduces coded modulation schemes for multidimensional Voronoi constellations, demonstrating significant power efficiency and achievable rate improvements over traditional QAM formats with low complexity.

Contribution

It develops and evaluates new coded modulation schemes for Voronoi constellations, including BICM and MLCM, with novel mapping and likelihood algorithms, enhancing performance after FEC.

Findings

Up to 1.84 dB SNR gain over QAM with BICM

Up to 0.99 dB SNR gain over QAM with MLCM

Low complexity implementation

Abstract

Multidimensional Voronoi constellations (VCs) are shown to be more power-efficient than quadrature amplitude modulation (QAM) formats given the same uncoded bit error rate, and also have higher achievable information rates. However, a coded modulation scheme to sustain these gains after forward error correction (FEC) coding is still lacking. This paper designs coded modulation schemes with soft-decision FEC codes for VCs, including bit-interleaved coded modulation (BICM) and multilevel coded modulation (MLCM), together with three bit-to-integer mapping algorithms and log-likelihood ratio calculation algorithms. Simulation results show that VCs can achieve up to 1.84 dB signal-to-noise ratio (SNR) gains over QAM with BICM, and up to 0.99 dB SNR gains over QAM with MLCM for the additive white Gaussian noise channel, with a surprisingly low complexity.