English

Rate-Compatible Protograph-based LDPC Codes for Inter-Symbol Interference Channels

Information Theory 2013-06-26 v1 math.IT

Abstract

This letter produces a family of rate-compatible protograph-based LDPC codes approaching the independent and uniformly distributed (i.u.d.) capacity of inter-symbol interference (ISI) channels. This problem is highly nontrivial due to the joint design of structured (protograph-based) LDPC codes and the state structure of ISI channels. We describe a method to design nested high-rate protograph codes by adding variable nodes to the protograph of a lower rate code. We then design a family of rate-compatible protograph codes using the extension method. The resulting protograph codes have iterative decoding thresholds close to the i.u.d. capacity. Our results are supported by numerical simulations.

Keywords

Cite

@article{arxiv.1306.6056,
  title  = {Rate-Compatible Protograph-based LDPC Codes for Inter-Symbol Interference Channels},
  author = {Thuy Van Nguyen and Aria Nosratinia and Dariush Divsalar},
  journal= {arXiv preprint arXiv:1306.6056},
  year   = {2013}
}

Comments

4 pages, 5 figures

R2 v1 2026-06-22T00:40:14.103Z