English

Probabilistic Shaping and Non-Binary Codes

Information Theory 2017-01-30 v1 math.IT

Abstract

We generalize probabilistic amplitude shaping (PAS) with binary codes to the case of non-binary codes defined over prime finite fields. Firstly, we introduce probabilistic shaping via time sharing where shaping applies to information symbols only. Then, we design circular quadrature amplitude modulations (CQAM) that allow to directly generalize PAS to prime finite fields with full shaping.

Keywords

Cite

@article{arxiv.1701.07976,
  title  = {Probabilistic Shaping and Non-Binary Codes},
  author = {Joseph J. Boutros and Fanny Jardel and Cyril Méasson},
  journal= {arXiv preprint arXiv:1701.07976},
  year   = {2017}
}

Comments

Submitted to IEEE International Symposium on Information Theory (ISIT) 2017

R2 v1 2026-06-22T18:02:13.680Z