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Bit-optimal decoding of codes whose Tanner graphs are trees - MaRDI portal

Bit-optimal decoding of codes whose Tanner graphs are trees (Q1811114)

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scientific article; zbMATH DE number 1925289
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English
Bit-optimal decoding of codes whose Tanner graphs are trees
scientific article; zbMATH DE number 1925289

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    Bit-optimal decoding of codes whose Tanner graphs are trees (English)
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    10 June 2003
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    A group algebra formulation for bit-optimal decoding of binary block codes is introduced. Using this new framework a simple algebraic proof is proposed that Pearl's and Gallager's belief propagation decoding algorithms are bit-optimal when the Tanner graph of the code is a tree. Finally, it is shown how Gallager's belief propagation approximates the optimal algorithm.
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    bit-optimal decoding
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    iterative decoding
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    soft-output decoding
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    Tanner graph
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    belief propagation
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