Results on Punctured Low-Density Parity-Check Codes and Improved Iterative Decoding Techniques

  • Authors:
  • Hossein Pishro-Nik;Faramarz Fekri

  • Affiliations:
  • Sch. of Electr. & Comput. Eng., Massachusetts Univ., Amherst, MA;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2007

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Abstract

This paper first introduces an improved decoding algorithm for low-density parity-check (LDPC) codes over binary-input-output-symmetric memoryless channels. Then some fundamental properties of punctured LDPC codes are presented. It is proved that for any ensemble of LDPC codes, there exists a puncturing threshold. It is then proved that for any rates R1 and R2 satisfying 0