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EBP-GEXIT charts over the binary-input AWGN channel for generalized and doubly-generalized LDPC codes

Yardi, Arti Dilip and Andriyanova, Iryna and Poulliat, Charly EBP-GEXIT charts over the binary-input AWGN channel for generalized and doubly-generalized LDPC codes. (2018) In: IEEE International Symposium on Information Theory (ISIT 2018), 17 June 2018 - 22 June 2018 (Vail, Colorado, United States).

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Official URL: https://doi.org/10.1109/ISIT.2018.8437727

Abstract

This work proposes a tractable evaluation of the maximum a posteriori (MAP) threshold of sparse-graph ensembles, by using an approximation for the extended belief propagation generalized extrinsic information transfer (EBP-GEXIT) function, first proposed by Measson et al. The approximation allows to find a MAP threshold in such numerically involved cases as the binary-input additive white Gaussian noise (AWGN) channel, graph ensembles with general component codes and/or irregularities. The paper contains examples of estimations of the MAP thresholds in the case of irregular low-density parity-check (LDPC), generalized LDPC, and doubly generalized LDPC codes ensembles. Our estimations are confirmed by numerical simulations.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to IEEE editor. The definitive version is available at http://ieeexplore.ieee.org This papers appears in Proceedings of IEEE ISIT 2018. Electronic ISBN: 978-1-5386-4781-3 Electronic ISSN: 2157-8117 The original PDF of the article can be found at: https://ieeexplore.ieee.org/document/8437727 Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Université de Cergy-Pontoise (FRANCE)
Other partners > Ecole Nationale Supérieure de l'Electronique et de ses Applications - ENSEA (France)
Laboratory name:
Funders:
CIMI : Centre International de Mathématiques et d'Informatique de Toulouse (France) - ANR : Agence nationale de la recherche (France) - Program ANR-11-IDEX-0002-02 (France)
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Deposited On:20 Sep 2019 08:02

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