• About
  • Policies
  • What is openaccess
  • Library
  • Contact
Advanced search
      View Item 
      •   BUIR Home
      • Scholarly Publications
      • Faculty of Engineering
      • Department of Electrical and Electronics Engineering
      • View Item
      •   BUIR Home
      • Scholarly Publications
      • Faculty of Engineering
      • Department of Electrical and Electronics Engineering
      • View Item
      JavaScript is disabled for your browser. Some features of this site may not work without it.

      Channel polarization: A method for constructing capacity-achieving codes

      Thumbnail
      View / Download
      707.2 Kb
      Author
      Arıkan, Erdal
      Date
      2008-07
      Source Title
      IEEE International Symposium on Information Theory - Proceedings
      Publisher
      IEEE
      Pages
      1173 - 1177
      Language
      English
      Type
      Conference Paper
      Item Usage Stats
      128
      views
      251
      downloads
      Abstract
      A method is proposed, called channel polarization, to construct code sequences that achieve the symmetric capacity I(W) of any given binary-input discrete memoryless channel (B-DMC) W. The symmetric capacity I(W) is the highest rate achievable subject to using the input letters of the channel equiprobably and equals the capacity C(W) if the channel has certain symmetry properties. Channel polarization refers to the fact that it is possible to synthesize, out of N independent copies of a given B-DMC W, a different set of N binary-input channels such that the capacities of the latter set, except for a negligible fraction of them, are either near 1 or near 0. This second set of N channels are well-conditioned for channel coding: one need only send data at full rate through channels with capacity near 1 and at 0 rate through the others. The main coding theorem about polar coding states that, given any B-DMC W with I(W) > 0 and any fixed 0 < δ < I(W), there exist finite constants n1 (W, δ) and c(W, δ) such that for all n ≥ n1, there exist polar codes with block length N = 2n, rate R > I(W)-δ, and probability of block decoding error Pe ≤ cN-1/4. The codes with this performance can be encoded and decoded within complexity O(N log N). © 2008 IEEE.
      Keywords
      Code sequences
      Discrete memoryless channel
      Full rate
      Input channels
      International symposium
      Symmetric capacity
      Symmetry properties
      Binary sequences
      Channel coding
      Codes (standards)
      Codes (symbols)
      Cybernetics
      Information theory
      Programming theory
      Technical presentations
      Polarization
      Permalink
      http://hdl.handle.net/11693/26857
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/ISIT.2008.4595172
      Collections
      • Department of Electrical and Electronics Engineering 3524
      Show full item record

      Browse

      All of BUIRCommunities & CollectionsTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartmentsThis CollectionTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartments

      My Account

      Login

      Statistics

      View Usage StatisticsView Google Analytics Statistics

      Bilkent University

      If you have trouble accessing this page and need to request an alternate format, contact the site administrator. Phone: (312) 290 1771
      Copyright © Bilkent University - Library IT

      Contact Us | Send Feedback | Off-Campus Access | Admin | Privacy