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Weight Distributions of Non-Binary Multi-Edge Type LDPC Code Ensembles: Analysis and Efficient Evaluation

Garrammone, Giuliano and Declercq, David and Fossorier, Marc (2017) Weight Distributions of Non-Binary Multi-Edge Type LDPC Code Ensembles: Analysis and Efficient Evaluation. IEEE Transactions on Information Theory. IEEE - Institute of Electrical and Electronics Engineers. DOI: 10.1109/TIT.2016.2647724 ISSN 0018-9448

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Abstract

Non-binary multi-edge type ensembles of lowdensity parity-check codes are analyzed in terms of non-binary codeword weight distribution and its growth rate. In particular, an exact expression of the growth rate for small weights is developed. As a side result, the stopping set distributions of these ensembles are developed. Examples of weight distributions are provided, showing that the derived closed form expressions can be easily evaluated. The obtained results can thus be exploited to analyze and design non-binary low-density parity-check codes that fall within the multi-edge type framework such as, but not limited to, protograph-based codes.

Item URL in elib:https://elib.dlr.de/110421/
Document Type:Article
Title:Weight Distributions of Non-Binary Multi-Edge Type LDPC Code Ensembles: Analysis and Efficient Evaluation
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Garrammone, GiulianoDLRUNSPECIFIED
Declercq, DavidetisUNSPECIFIED
Fossorier, MarcetisUNSPECIFIED
Date:1 January 2017
Journal or Publication Title:IEEE Transactions on Information Theory
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
DOI :10.1109/TIT.2016.2647724
Publisher:IEEE - Institute of Electrical and Electronics Engineers
ISSN:0018-9448
Status:Published
Keywords:protographs, LDPC codes, codeword weight distributions, stopping set distributions, Galois fields
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Communication and Navigation
DLR - Research area:Raumfahrt
DLR - Program:R KN - Kommunikation und Navigation
DLR - Research theme (Project):R - Vorhaben Multimedia Satellitennetze
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Communication and Navigation > Satellite Networks
Deposited By: Liva, Dr. Gianluigi
Deposited On:11 Jan 2017 09:52
Last Modified:08 Mar 2018 18:35

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