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      On the rate of channel polarization

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      Author
      Arıkan, Erdal
      Telatar, E.
      Date
      2009-06-07
      Source Title
      IEEE International Symposium on Information Theory - Proceedings
      Publisher
      IEEE
      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.
      Keywords
      Discrete memoryless channels
      Probability of errors
      Successive cancellation
      Symmetric capacity
      Information theory
      Polarization
      Permalink
      http://hdl.handle.net/11693/28681
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/ISIT.2009.5205856
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      • Department of Electrical and Electronics Engineering 3613
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