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Analytical Solution of Covariance Evolution for Irregular LDPC Codes

Authors :
Nozaki, Takayuki
Kasai, Kenta
Sakaniwa, Kohichi
Source :
IEEE Transactions on Information Theory (Volume:58, Issue: 7, pp.4770 - 4780, July 2012)
Publication Year :
2010

Abstract

A scaling law developed by Amraoui et al. is a powerful technique to estimate the block error probability of finite length low-density parity-check (LDPC) codes. Solving a system of differential equations called covariance evolution is a method to obtain the scaling parameter. However, the covariance evolution has not been analytically solved. In this paper, we present the analytical solution of the covariance evolution for irregular LDPC code ensembles.<br />Comment: 13pages, submitted to IEEE trans. on information theory, January 2010

Details

Database :
arXiv
Journal :
IEEE Transactions on Information Theory (Volume:58, Issue: 7, pp.4770 - 4780, July 2012)
Publication Type :
Report
Accession number :
edsarx.1011.1701
Document Type :
Working Paper
Full Text :
https://doi.org/10.1109/TIT.2012.2191668