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Reweighted LP Decoding for LDPC Codes

We introduce a novel algorithm for decoding binary linear codes by linear programming. We build on the LP decoding algorithm of Feldman et al. and introduce a post-processing step that solves a second linear program that reweights the objective function based on the outcome of the original LP decoder output. Our analysis shows that for some LDPC ensembles we can improve the provable threshold guarantees compared to standard LP decoding. We also show significant empirical performance gains for the reweighted LP decoding algorithm with very small additional computational complexity.

preprint2011arXivOpen access
Amin KhajehnejadAlexandros G. DimakisBabak HassibiBenjamin VigodaWilliam Bradley
math.ITInformation Theory
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Open access5 authors2 topics
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Amin KhajehnejadAlexandros G. DimakisBabak HassibiBenjamin VigodaWilliam Bradley

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