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Protograph-Based LDPC Code Design for Shaped Bit-Metric Decoding

Information Theory 2015-04-15 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 for the code design are used. The constructed codes for uniform inputs perform as good as the multi-edge type codes of Zhang and Kschischang (2013). For 8-ASK and 64-ASK with probabilistic shaping, codes of rates 2/3 and 5/6 with blocklength 64800 are designed, which operate within 0.63dB and 0.69dB of continuous AWGN capacity for a target frame error rate of 1e-3 at spectral efficiencies of 1.38 and 4.25 bits/channel use, respectively.

Keywords

Cite

@article{arxiv.1504.03628,
  title  = {Protograph-Based LDPC Code Design for Shaped Bit-Metric Decoding},
  author = {Fabian Steiner and Georg Böcherer and Gianluigi Liva},
  journal= {arXiv preprint arXiv:1504.03628},
  year   = {2015}
}

Comments

9 pages, 10 figures. arXiv admin note: substantial text overlap with arXiv:1501.05595

R2 v1 2026-06-22T09:15:56.695Z