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IEEE Transactions on Information Theory
Article . 1999 . Peer-reviewed
License: IEEE Copyright
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Article . 2022
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Sort-and-match algorithm for soft-decision decoding

Authors: Ilya Dumer;

Sort-and-match algorithm for soft-decision decoding

Abstract

Summary: Let a \(q\)-ary linear \((n,k)\)-code \(C\) be used over a memoryless channel. We design a decoding algorithm \(\Psi_N\) that splits the received block into two halves in \(n\) different ways. First, about \(\sqrt N\) error patterns are found on either half. Then the left- and right-hand lists are sorted out and matched to form codewords. Finally, the most probable codeword is chosen among at most \(n\sqrt N\) codewords obtained in all \(n\) trials. The algorithm can be applied to any linear code \(C\) and has complexity order of \(n^2 \sqrt N\). For any \(N\geq q^{n-k}\), the decoding error probability \(P_N\) exceeds at most \(1+q^{n-k}/N\) times the probability \(P_\Psi(C)\) of maximum-likelihood decoding. For code rates \(R\geq 1/2\), the complexity order \(q^{(n-k) /2}\) grows as square root of general trellis complexity \(q^{\min \{n-k,k\}}\). When used on quantized additive white Gaussian noise (AWGN) channels, algorithm \(\Psi_N\) can provide maximum-likelihood decoding for most binary linear codes even when \(N\) has exponential order of \(q^{n-k}\).

Related Organizations
Keywords

quantized additive white Gaussian noise channels, splitting, Decoding, trellis, decoding error probability, maximum-likelihood decoding, syndromes, complexity, decoding algorithm, sorting, Linear codes (general theory)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
11
Average
Top 10%
Average
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