Title
Analytical solution of covariance evolution for regular LDPC codes
Abstract
The covariance evolution is a system of differential equations with respect to the covariance of the number of edges connecting to the nodes of each residual degree. Solving the covariance evolution, we can derive distributions of the number of check nodes of residual degree 1, which helps us to estimate the block error probability for finite-length LDPC code. Amraoui et at. resorted to numerical computations to solve the covariance evolution. In this paper, we give the analytical solution of the covariance evolution.
Year
DOI
Venue
2009
10.1109/ISIT.2009.5205923
international symposium on information theory
Keywords
DocType
Volume
amraoui et,regular ldpc code,analytical solution,differential equation,check node,residual degree,covariance evolution,finite-length ldpc code,numerical computation,block error probability,covariance analysis,differential equations,block codes,probability density function,data mining,probability,decoding
Journal
abs/0901.2838
Citations 
PageRank 
References 
1
0.35
3
Authors
3
Name
Order
Citations
PageRank
Takayuki Nozaki11610.03
K. Kasai231933.57
Kohichi Sakaniwa333047.69