English

Bit-Metric Decoding of Non-Binary LDPC Codes with Probabilistic Amplitude Shaping

Information Theory 2018-09-12 v1 math.IT

Abstract

A new approach for combining non-binary low-density parity-check (NB-LDPC) codes with higher-order modulation and probabilistic amplitude shaping (PAS) is presented. Instead of symbol-metric decoding (SMD), a bit-metric decoder (BMD) is used so that matching the field order of the non-binary code to the constellation size is not needed, which increases the flexibility of the coding scheme. Information rates, density evolution thresholds and finite-length simulations show that the flexibility comes at no loss of performance if PAS is used.

Keywords

Cite

@article{arxiv.1809.04037,
  title  = {Bit-Metric Decoding of Non-Binary LDPC Codes with Probabilistic Amplitude Shaping},
  author = {Fabian Steiner and Georg Böcherer and Gianluigi Liva},
  journal= {arXiv preprint arXiv:1809.04037},
  year   = {2018}
}

Comments

Accepted for IEEE Communication Letters

R2 v1 2026-06-23T04:02:46.613Z