English

Protograph LDPC Codes with Block Thresholds: Extension to Degree-1 and Generalized Nodes

Information Theory 2018-05-03 v2 math.IT

Abstract

Protograph low-density-parity-check (LDPC) are considered to design near-capacity low-rate codes over the binary erasure channel (BEC) and binary additive white Gaussian noise (BIAWGN) channel. For protographs with degree-one variable nodes and doubly-generalized LDPC (DGLDPC) codes, conditions are derived to ensure equality of bit-error threshold and block-error threshold. Using this condition, low-rate codes with block-error threshold close to capacity are designed and shown to have better error rate performance than other existing codes.

Keywords

Cite

@article{arxiv.1710.09651,
  title  = {Protograph LDPC Codes with Block Thresholds: Extension to Degree-1 and Generalized Nodes},
  author = {Asit Kumar Pradhan and Andrew Thangaraj},
  journal= {arXiv preprint arXiv:1710.09651},
  year   = {2018}
}
R2 v1 2026-06-22T22:26:27.269Z