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Abstract: The covariance evolution is a system of differential equations with respectto the covariance of the number of edges connecting to the nodes of eachresidual degree. Solving the covariance evolution, we can derive distributionsof the number of check nodes of residual degree 1, which helps us to estimatethe block error probability for finite-length LDPC code. Amraoui et al.\resorted to numerical computations to solve the covariance evolution. In thispaper, we give the analytical solution of the covariance evolution.



Autor: Takayuki Nozaki, Kenta Kasai, Kohichi Sakaniwa

Fuente: https://arxiv.org/



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