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arXiv · 0911.1743

Analysis of peeling decoder for MET ensembles

Ryan Hinton·Stephen G. Wilson
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Abstract

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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Ryan Hinton, Stephen G. Wilson. 2009-11-09. Analysis of peeling decoder for MET ensembles. https://arxiv.org/abs/0911.1743

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