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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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AWGN channels, block codes, channel coding, error correction codes, parity check codes
codes(22), ldpc(18), algorithm(10), information(9), theory(8), communications(8), quasi(4), progressive(4), processing(4), growth(4)
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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
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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Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
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