Now showing items 1-8 of 8

    • Challenges and some new directions in channel coding 

      Arikan, E.; Ul Hassan, N.; Lentmaier, M.; Montorsi, G.; Sayir, J. (Korean Institute of Communication Sciences, 2015)
      Three areas of ongoing research in channel coding are surveyed, and recent developments are presented in each area: Spatially coupled low-density parity-check (LDPC) codes, nonbinary LDPC codes, and polar coding.
    • Channel polarization: a method for constructing capacity-achieving codes for symmetric binary-input memoryless channels 

      Arikan, E. (IEEE, 2009)
      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 is the highest ...
    • A note on some inequalities used in channel polarization and polar coding 

      Jayram, T. S.; Arikan, E. (Institute of Electrical and Electronics Engineers, 2018)
      We give a unified treatment of some inequalities that are used in the proofs of channel polarization theorems involving a binary-input discrete memoryless channel.
    • On the origin of polar coding 

      Arıkan, E. (Institute of Electrical and Electronics Engineers Inc., 2016)
      Polar coding was conceived originally as a technique for boosting the cutoff rate of sequential decoding, along the lines of earlier schemes of Pinsker and Massey. The key idea in boosting the cutoff rate is to take a ...
    • Polarization for arbitrary discrete memoryless channels 

      Şaşoǧlu, E.; Telatar, E.; Arıkan, Erdal (IEEE, 2009)
      Channel polarization, originally proposed for binary-input channels, is generalized to arbitrary discrete memoryless channels. Specifically, it is shown that when the input alphabet size is a prime number, a similar ...
    • Source polarization 

      Arıkan, Erdal (IEEE, 2010)
      The notion of source polarization is introduced and investigated. This complements the earlier work on channel polarization. An application to Slepian-Wolf coding is also considered. The paper is restricted to the case of ...
    • Strange attractor in density evolution 

      Kahraman, Sinan (IEEE Computer Society, 2019)
      The strange attractor represents a complex pattern of behavior in dynamic systems. This paper introduces a strange attractor of channel polarization as a result of a geometric property of density evolution for code ...
    • A survey of Reed-Muller codes from polar coding perspective 

      Arıkan, Erdal (IEEE, 2010-01)
      A survey of Reed-Muller (RM) coding is given with the goal of establishing a continuity between RM codes and polar codes. The focus is mainly on recursive decoding methods for RM codes and other ideas that are most relevant ...