NB QC-LDPC Coded QAM Signals with Optimized Mapping: Bounds and Simulation Results
Abstract
The goal of the paper is to study specific properties of nonbinary low-density parity-check (NB LDPC) codes when used in coded modulation systems. The paper is focused on the practically important NB LDPC codes over extensions of the Galois field GF with used with QAM signaling. Performance of NB QC LDPC coded transmission strongly depends on mapping of nonbinary symbols to signal constellation points. We obtain a random coding bound on the maximum-likelihood decoding error probability for an ensemble of random irregular NB LDPC codes used with QAM signaling for specific symbol-to-signal point mappings. This bound is based on the ensemble average Euclidean distance spectra derived for these mappings. The simulation results for the belief-propagation decoding in the coded modulation schemes with the NB quasi-cyclic (QC)-LDPC codes under different mappings are given. Comparisons with the optimized binary QC-LDPC codes in the WiFi and 5G standards, as well as with the new bound, are performed.
Cite
@article{arxiv.2108.08716,
title = {NB QC-LDPC Coded QAM Signals with Optimized Mapping: Bounds and Simulation Results},
author = {Irina E. Bocharova and Boris D. Kudryashov and Evgenii P. Ovsyannikov and Vitaly Skachek},
journal= {arXiv preprint arXiv:2108.08716},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2006.12147