On the rate of channel polarization
Author
Arıkan, Erdal
Telatar, E.
Date
2009-06-07Source Title
IEEE International Symposium on Information Theory - Proceedings
Publisher
IEEE
Pages
1493 - 1495
Language
English
Type
Conference PaperItem Usage Stats
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Abstract
A bound is given on the rate of channel polarization. As a corollary, an earlier bound on the probability of error for polar coding is improved. Specifically, it is shown that, for any binary-input discrete memoryless channel W with symmetric capacity I(W) and any rate R < I(W), the polar-coding blockerror probability under successive cancellation decoding satisfies Pe(N;R) ≥ 2-Nβ for any β > 1/2 when the block-length N is large enough. © 2009 IEEE.
Keywords
Discrete memoryless channelsProbability of errors
Successive cancellation
Symmetric capacity
Information theory
Polarization