Asymptotic Analysis of Spatially Coupled MacKay-Neal and Hsu-Anastasopoulos LDPC Codes
Author
Summary, in English
In this paper, we extend the results of Kasai and Sakaniwa to the additive white Gaussian noise (AWGN) channel and show that the thresholds of the SC-MN and SC-HA ensembles approach capacity with bounded density as the coupling length increases, i.e., the number of edges per information bit approaches a finite value as the estimated BP threshold approaches the Shannon limit. We also perform an asymptotic weight enumerator analysis and show that, provided the density parameters are chosen to be sufficiently large, the SC-MN and SC-HA ensembles are asymptotically good. Further, for certain selections of parameters, some of these ensembles are shown to have both excellent thresholds and good distance properties.
Publishing year
2012
Language
English
Pages
337-341
Publication/Series
2012 International Symposium on Information Theory and its Applications
Full text
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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
Conference name
International Symposium on Information Theory and its Applications (ISITA'12)
Conference date
2012-10-28 - 2012-10-31
Status
Published
Research group
- Telecommunication Theory
ISBN/ISSN/Other
- ISBN: 978-1-4673-2521-9