On the rate of channel polarization

Date
2009-06-07
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Source Title
IEEE International Symposium on Information Theory - Proceedings
Print ISSN
Electronic ISSN
Publisher
IEEE
Volume
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Pages
1493 - 1495
Language
English
Type
Conference Paper
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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.

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Keywords
Discrete memoryless channels, Probability of errors, Successive cancellation, Symmetric capacity, Information theory, Polarization
Citation
Published Version (Please cite this version)