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A PEG Construction of LDPC Codes Based on the Betweenness Centrality MetricBHURTAH-SEEWOOSUNGKUR, I. , CATHERINE, P. C. , SOYJAUDAH, K. M. S. |
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Author keywords
AWGN channels, block codes, channel coding, error correction codes, parity check codes
References keywords
codes(22), ldpc(18), algorithm(10), information(9), theory(8), communications(8), quasi(4), progressive(4), processing(4), growth(4)
Blue keywords are present in both the references section and the paper title.
About this article
Date of Publication: 2016-05-31
Volume 16, Issue 2, Year 2016, On page(s): 85 - 92
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2016.02012
Web of Science Accession Number: 000376996100012
SCOPUS ID: 84974834729
Abstract
Progressive Edge Growth (PEG) constructions are usually based on optimizing the distance metric by using various methods. In this work however, the distance metric is replaced by a different one, namely the betweenness centrality metric, which was shown to enhance routing performance in wireless mesh networks. A new type of PEG construction for Low-Density Parity-Check (LDPC) codes is introduced based on the betweenness centrality metric borrowed from social networks terminology given that the bipartite graph describing the LDPC is analogous to a network of nodes. The algorithm is very efficient in filling edges on the bipartite graph by adding its connections in an edge-by-edge manner. The smallest graph size the new code could construct surpasses those obtained from a modified PEG algorithm - the RandPEG algorithm. To the best of the authors' knowledge, this paper produces the best regular LDPC column-weight two graphs. In addition, the technique proves to be competitive in terms of error-correcting performance. When compared to MacKay, PEG and other recent modified-PEG codes, the algorithm gives better performance over high SNR due to its particular edge and local graph properties. |
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[1] On the performance analysis of short LDPC codes, Medova, Luiza R., Rybin, Pavel S., Filatov, Ivan V., 2019 XVI International Symposium "Problems of Redundancy in Information and Control Systems" (REDUNDANCY), ISBN 978-1-7281-1944-1, 2019.
Digital Object Identifier: 10.1109/REDUNDANCY48165.2019.9003310 [CrossRef]
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Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
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