Coset Shaping: Constructions and Bounds
Abstract
A new geometric shaping technique, referred to as coset shaping, is proposed and analyzed for coded QAM and PAM signaling. This method can be applied to both information and parity bits without introducing additional complexity. It is shown that, as the error-correcting code length and the modulation order grow, the gap to capacity of the proposed shaping scheme can be made arbitrarily small. A Gallager-type bound is provided together with numerical results, including performance comparisons for the shaping scheme combined with short and mid-length binary-coded, as well as nonbinary LDPC-coded QAM signaling
Cite
@article{arxiv.2601.05652,
title = {Coset Shaping: Constructions and Bounds},
author = {Irina Bocharova and Maiara F. Bollauf and Boris Kudryashov},
journal= {arXiv preprint arXiv:2601.05652},
year = {2026}
}
Comments
[v1] Conference version published in the Proceedings of the 2026 International Zurich Seminar on Information and Communication (IZS 2026) [v2] Extended version [v3]=[v2] Fixed typo on the metadata title