Analysis of peeling decoder for MET ensembles

Details Analysis of peeling decoder for MET ensembles Analysis of peeling decoder for MET ensembles

2009-11-09

arxiv.org/abs/0911.1743v1

Computer Science

Information Theory

Preprint of submission to Information Theory Workshop (ITW) 2010. 5 pages, two figures (from seven files). Processed with PDFL

Scientific paper

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.

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