The peeling decoder introduced by Luby, et al. allows analysis of LDPC decoding for the binary erasure channel (BEC). For irregular ensembles, they analyze the decoder state as a Markov process and present a solution to the differential equations describing the process mean. Multi-edge type (MET) ensembles allow greater precision through specifying graph connectivity. We generalize the the peeling decoder for MET ensembles and derive analogous differential equations. We offer a new change of variables and solution to the node fraction evolutions in the general (MET) case. This result is preparatory to investigating finite-length ensemble behavior.
Cite
@article{arxiv.0911.1743,
title = {Analysis of peeling decoder for MET ensembles},
author = {Ryan Hinton and Stephen G. Wilson},
journal= {arXiv preprint arXiv:0911.1743},
year = {2009}
}
Comments
Preprint of submission to Information Theory Workshop (ITW) 2010. 5 pages, two figures (from seven files). Processed with PDFLaTeX including IEEEtran style, amsmath, amsfonts, cite, array, graphicx, and amsthm packages