English

Raptor Codes for Higher-Order Modulation Using a Multi-Edge Framework

Information Theory 2017-01-17 v1 math.IT

Abstract

In this paper, we represent Raptor codes as multi-edge type low-density parity-check (MET-LDPC) codes, which gives a general framework to design them for higher-order modulation using MET density evolution. We then propose an efficient Raptor code design method for higher-order modulation, where we design distinct degree distributions for distinct bit levels. We consider a joint decoding scheme based on belief propagation for Raptor codes and also derive an exact expression for the stability condition. In several examples, we demonstrate that the higher-order modulated Raptor codes designed using the multi-edge framework outperform previously reported higher-order modulation codes in literature.

Keywords

Cite

@article{arxiv.1701.03880,
  title  = {Raptor Codes for Higher-Order Modulation Using a Multi-Edge Framework},
  author = {Sachini Jayasooriya and Mahyar Shirvanimoghaddam and Lawrence Ong and Sarah J. Johnson},
  journal= {arXiv preprint arXiv:1701.03880},
  year   = {2017}
}

Comments

This work has been submitted to the IEEE for possible publication