Analytical Solution of Covariance Evolution for Irregular LDPC Codes
Information Theory
2016-05-31 v3 math.IT
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.
Keywords
Cite
@article{arxiv.1011.1701,
title = {Analytical Solution of Covariance Evolution for Irregular LDPC Codes},
author = {Takayuki Nozaki and Kenta Kasai and Kohichi Sakaniwa},
journal= {arXiv preprint arXiv:1011.1701},
year = {2016}
}
Comments
13pages, submitted to IEEE trans. on information theory, January 2010