Analytical Solution of Covariance Evolution for Irregular LDPC Codes

Details Analytical Solution of Covariance Evolution for Irregular LDPC Codes Analytical Solution of Covariance Evolution for Irregular LDPC Codes

2010-11-08

arxiv.org/abs/1011.1701v3

Computer Science

Information Theory

13pages, submitted to IEEE trans. on information theory, January 2010

Scientific paper

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.

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