Title :
Spectral shape of non-binary LDPC code ensembles with separated variable nodes
Author :
Garrammone, G. ; Paolini, E. ; Chiani, M.
Author_Institution :
Inst. of Commun. & Navig., Deutsches Zentrum fur Luft- und Raumfahrt (DLR), Wessling, Germany
Abstract :
The non-binary weight distribution and its spectral shape is developed for a partially-structured ensemble of low-density parity-check codes over finite fields. The ensemble is characterized by all degree-2 variable nodes and some of the degree-3 variable nodes being separated. It is shown that, under node separation, the typical minimum distance is strictly positive and significantly higher than the one of the corresponding unstructured ensemble.
Keywords :
parity check codes; degree-2 variable nodes; degree-3 variable nodes; low-density parity-check codes; nonbinary LDPC code ensembles; nonbinary weight distribution; variable node separation; Australia; Equations; Iterative decoding; Maximum likelihood decoding; Sockets; Spectral shape;
Conference_Titel :
Information Theory and its Applications (ISITA), 2014 International Symposium on
Conference_Location :
Melbourne, VIC
