English

Ultra-Sparse Non-Binary LDPC Codes for Probabilistic Amplitude Shaping

Information Theory 2017-08-21 v1 math.IT

Abstract

This work shows how non-binary low-density parity-check codes over GF(2p2^p) can be combined with probabilistic amplitude shaping (PAS) (B\"ocherer, et al., 2015), which combines forward-error correction with non-uniform signaling for power-efficient communication. Ultra-sparse low-density parity-check codes over GF(64) and GF(256) gain 0.6 dB in power efficiency over state-of-the-art binary LDPC codes at a spectral efficiency of 1.5 bits per channel use and a blocklength of 576 bits. The simulation results are compared to finite length coding bounds and complemented by density evolution analysis.

Keywords

Cite

@article{arxiv.1708.05558,
  title  = {Ultra-Sparse Non-Binary LDPC Codes for Probabilistic Amplitude Shaping},
  author = {Fabian Steiner and Gianluigi Liva and Georg Böcherer},
  journal= {arXiv preprint arXiv:1708.05558},
  year   = {2017}
}

Comments

Accepted for Globecom 2017

R2 v1 2026-06-22T21:17:50.519Z