Information (Dec 2015)

Codeword Structure Analysis for LDPC Convolutional Codes

  • Hua Zhou,
  • Jiao Feng,
  • Peng Li,
  • Jingming Xia

DOI
https://doi.org/10.3390/info6040866
Journal volume & issue
Vol. 6, no. 4
pp. 866 – 879

Abstract

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The codewords of a low-density parity-check (LDPC) convolutional code (LDPC-CC) are characterised into structured and non-structured. The number of the structured codewords is dominated by the size of the polynomial syndrome former matrix H T ( D ) , while the number of the non-structured ones depends on the particular monomials or polynomials in H T ( D ) . By evaluating the relationship of the codewords between the mother code and its super codes, the low weight non-structured codewords in the super codes can be eliminated by appropriately choosing the monomials or polynomials in H T ( D ) , resulting in improved distance spectrum of the mother code.

Keywords