English

Low-Density Parity-Check Codes for Nonergodic Block-Fading Channels

Information Theory 2016-11-18 v1 math.IT

Abstract

We solve the problem of designing powerful low-density parity-check (LDPC) codes with iterative decoding for the block-fading channel. We first study the case of maximum-likelihood decoding, and show that the design criterion is rather straightforward. Unfortunately, optimal constructions for maximum-likelihood decoding do not perform well under iterative decoding. To overcome this limitation, we then introduce a new family of full-diversity LDPC codes that exhibit near-outage-limit performance under iterative decoding for all block-lengths. This family competes with multiplexed parallel turbo codes suitable for nonergodic channels and recently reported in the literature.

Keywords

Cite

@article{arxiv.0710.1182,
  title  = {Low-Density Parity-Check Codes for Nonergodic Block-Fading Channels},
  author = {Joseph J. Boutros and Albert Guillen i Fabregas and Ezio Biglieri and Gilles Zemor},
  journal= {arXiv preprint arXiv:0710.1182},
  year   = {2016}
}

Comments

Submitted to the IEEE Transactions on Information Theory

R2 v1 2026-06-21T09:27:15.986Z