Selective avoidance of cycles in irregular LDPC code construction
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305 citations
Cites background or methods from "Selective avoidance of cycles in ir..."
...For our analysis, we assume the knowledge of the structure of the graph GH (randomly designed or optimized using instances of the PEG algorithm [13] or other good construction algorithms [ 23 ])....
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...The global performance is however not only dependent on the cycle structure, but also on the stopping sets (inherently present in the structure of GH ) [7][ 23 ] that are not reduced to a single cycle....
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283 citations
Cites methods from "Selective avoidance of cycles in ir..."
...Protographs were lifted using the ACE algorithm [34] to find circulants for each edge of the protograph....
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...The resulting graph was then lifted using the ACE algorithm [34] to determine circulant permutations of size 181....
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References
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"Selective avoidance of cycles in ir..." refers background in this paper
...can avoid increases only logarithmically with block size (see [1])....
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...REGULAR low-density parity-check (LDPC) codes were proposed by Gallager in the early 1960s [1]....
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3,520 citations
"Selective avoidance of cycles in ir..." refers background or methods in this paper
...this letter, we repeated the irregular code-construction method described in [8], and extended their simulation to a higher SNR...
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...As a benchmark, Richardson and Urbanke’s -bit code [8] (referred to here as the RU code) is included in Fig....
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...We used the ACE algorithm to construct (10000,5000) codes that have the irregular degree distribution given in [8] with maxFig....
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...6 dB worse than their irregular counterparts [8]....
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3,246 citations