English

Protograph-Based LDPC Code Design for Bit-Metric Decoding

Information Theory 2015-01-23 v1 math.IT

Abstract

A protograph-based low-density parity-check (LDPC) code design technique for bandwidth-efficient coded modulation is presented. The approach jointly optimizes the LDPC code node degrees and the mapping of the coded bits to the bit-interleaved coded modulation (BICM) bit-channels. For BICM with uniform input and for BICM with probabilistic shaping, binary-input symmetric-output surrogate channels are constructed and used for code design. The constructed codes perform as good as multi-edge type codes of Zhang and Kschischang (2013). For 64-ASK with probabilistic shaping, a blocklength 64800 code is constructed that operates within 0.69 dB of 0.5log(1+SNR) at a spectral efficiency of 4.2 bits/channel use and a frame error rate of 1e-3.

Keywords

Cite

@article{arxiv.1501.05595,
  title  = {Protograph-Based LDPC Code Design for Bit-Metric Decoding},
  author = {Fabian Steiner and Georg Böcherer and Gianluigi Liva},
  journal= {arXiv preprint arXiv:1501.05595},
  year   = {2015}
}

Comments

5 pages, 8 figures

R2 v1 2026-06-22T08:10:10.081Z