Distance distributions in ensembles of irregular low-density parity-check codes

We derive asymptotic expressions for the average distance distributions in ensembles of irregular low-density parity-check (LDPC) codes. The ensembles are defined by matrices with given profiles of column and row sums.

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Bibliographic Details
Published inIEEE transactions on information theory Vol. 49; no. 12; pp. 3140 - 3159
Main Authors Litsyn, S., Shevelev, V.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.12.2003
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Absorption
Asymptotic properties
Codes
Distribution engineering
Information theory
Iterative decoding
Low density lipoprotein
Mathematical analysis
Mathematics
Matrices
Matrix methods
Maximum likelihood decoding
Maximum likelihood estimation
Parity
Parity check codes
Performance analysis
Shape
Strips
Sums
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Summary:We derive asymptotic expressions for the average distance distributions in ensembles of irregular low-density parity-check (LDPC) codes. The ensembles are defined by matrices with given profiles of column and row sums.
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ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2003.820012