# On the scaling of Polar codes: I. The behavior of polarized channels - Computer Science > Information Theory

Abstract: We consider the asymptotic behavior of the polarization process for polarcodes when the blocklength tends to infinity. In particular, we study theproblem of asymptotic analysis of the cumulative distribution $\mathbb{P}Z n\leq z$, where $Z n=ZW n$ is the Bhattacharyya process, and its dependenceto the rate of transmission R. We show that for a BMS channel $W$, for \$R

Author: S. Hamed Hassani, Rudiger Urbanke

Source: https://arxiv.org/