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Low-density parity-check (LDPC) codes become very popular in channel coding, since they can achieve the performance close maximum-likelihood (ML) decoding with linear complexity of the block length. Muramatsu et al. proposed a code using LDPC matrices for Slepian-Wolf source coding. However, since they employed ML decoding, their code is not universal, that is their decoder needs to know the probability...
Following the work of Measson, Montanari, and Urbanke, this paper considers the maximum a posteriori (MAP) decoding thresholds of three iterative decoding systems. First, irregular repeat-accumulate (IRA) and accumulate-repeat-accumulate (ARA) code ensembles are analyzed on the binary erasure channel (BEC). Next, the joint iterative decoding of LDPC codes is studied on the dicode erasure channel (DEC)...
In this paper, a novel decoding algorithm for low-density parity-check (LDPC) codes based on convex optimization is presented. The decoding algorithm, called interior point decoding, is designed for linear vector channels. The linear vector channels include many practically important channels such as inter symbol interference channels, partial response channels and MIMO channels. It is shown that...
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