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Code Design Based on Connecting Spatially Coupled Graph Chains.

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Bibliographic Details
Title: Code Design Based on Connecting Spatially Coupled Graph Chains.
Authors: Truhachev, Dmitri, Mitchell, David G. M., Lentmaier, Michael, Costello, Daniel J., Karami, Alireza
Source: IEEE Transactions on Information Theory; Sep2019, Vol. 65 Issue 9, p5604-5617, 14p
Subject Terms: ITERATIVE decoding, ERROR probability, CIPHERS
Abstract: A novel code construction based on spatially coupled low-density parity-check (SC-LDPC) codes is presented. The proposed code ensembles are comprised of several protograph-based chains characterizing individual SC-LDPC codes. We demonstrate that the code ensembles obtained by connecting appropriately chosen individual SC-LDPC code chains at specific points have improved iterative decoding thresholds. In addition, the connected chain ensembles have a smaller decoding complexity required to achieve a specific bit error probability compared to the individual code chains. Moreover, we demonstrate that, like the individual component chains, the proposed constructions have a typical minimum distance that grows linearly with block length. Finally, we show that the improved asymptotic properties of the connected chain ensembles also translate into improved finite length performance. [ABSTRACT FROM AUTHOR]
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Database: Complementary Index
Description
Abstract:A novel code construction based on spatially coupled low-density parity-check (SC-LDPC) codes is presented. The proposed code ensembles are comprised of several protograph-based chains characterizing individual SC-LDPC codes. We demonstrate that the code ensembles obtained by connecting appropriately chosen individual SC-LDPC code chains at specific points have improved iterative decoding thresholds. In addition, the connected chain ensembles have a smaller decoding complexity required to achieve a specific bit error probability compared to the individual code chains. Moreover, we demonstrate that, like the individual component chains, the proposed constructions have a typical minimum distance that grows linearly with block length. Finally, we show that the improved asymptotic properties of the connected chain ensembles also translate into improved finite length performance. [ABSTRACT FROM AUTHOR]
ISSN:00189448
DOI:10.1109/TIT.2019.2917222