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Quasi-Cyclic Asymptotically Regular LDPC Codes

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Author

Summary, in English

Families of asymptotically regular LDPC block code ensembles can be formed by terminating (J, K)-regular protograph-based LDPC convolutional codes. By varying the termination length, we obtain a large selection of LDPC block code ensembles with varying code rates, minimum distance that grows linearly with block length, and capacity approaching iterative decoding thresholds, despite the fact that the terminated ensembles are almost regular. In this paper, we investigate the properties of the quasi-cyclic (QC) members of such an ensemble. We show that an upper bound on the minimum Hamming distance of members of the QC sub-ensemble can be improved by careful choice of the component protographs used in the code construction. Further, we show that the upper bound on the minimum distance can be improved by using arrays of circulants in a graph cover of the protograph.

Publishing year

2010

Language

English

Publication/Series

2010 IEEE Information Theory Workshop

Document type

Conference paper

Publisher

IEEE - Institute of Electrical and Electronics Engineers Inc.

Topic

  • Electrical Engineering, Electronic Engineering, Information Engineering

Keywords

  • spatial coupling
  • LDPC codes
  • LDPC convolutional codes
  • quasi-cyclic codes

Conference name

IEEE Information Theory Workshop (ITW), 2010

Conference date

2010-08-30 - 2010-09-03

Conference place

Dublin, Ireland

Status

Published

Research group

  • Telecommunication Theory

ISBN/ISSN/Other

  • ISBN: 978-1-4244-8262-7