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Analysis of stopping constellation distribution for irregular non-binary LDPC code ensemble

隆之 野﨑, Kenta Kasai, KOHICHI SAKANIWA

Published Aug 1, 2011• 0 citations
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Abstract

The fixed points of the belief propagation decoder for nonbinary low-density parity-check (LDPC) codes are referred to as stopping constellations.In this paper, we give the stopping constellation distributions for the irregular non-binary LDPC code ensembles defined over the general linear group.Moreover, we derive the exponential growth rate of the average stopping constellation distributions in the limit of large codelength.

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The fixed points of the belief propagation decoder for nonbinary low-density parity-check (LDPC) codes are referred to as stopping constellations.In this paper, we give the stopping constellation distributions for the irregular non-binary LDPC code ensembles defined over the general linear group.Moreover, we derive the exponential growth rate of the average stopping constellation distributions in the limit of large codelength.
This work presents an ensemble of irregular low-density parity check (LDPC) codes based on an ensemble of bipartite graphs, which formulated the average weight distribution. An analysis of the error performance of LDPC codes over a binary erasure channel together with an iterative decoding algorithm based on belief propagation has been clarified that a notion of stopping sets and their distribution with the asymptotic expression are derived. An irregular LDPC code ensemble that exhibits better performance in the sense of threshold is obtained by density evolution and explicitly formulates weight and stopping set distributions are defined.