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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/



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