• DocumentCode
    1705241
  • Title

    Iterative decoding algorithm of lattices

  • Author

    Sadeghi, Mohammad R. ; Banihashemi, Amir H. ; Panario, Daniel

  • Author_Institution
    Sch. of Math. & Stat., Carleton Univ., Canada
  • Volume
    3
  • fYear
    2004
  • Firstpage
    1417
  • Abstract
    The so-called min-sum algorithm for iterative decoding of low-density parity-check (LDPC) codes is generalized to decode lattices. An upper bound on the decoding complexity per iteration is derived, and for LDPC lattices constructed by Construction D´ and using a nested sequence of LDPC codes, exact values for computational complexity are also given. We show that iterative decoding of LDPC lattices has a reasonably low complexity such that lattices with dimensions of a few thousands can be easily decoded.
  • Keywords
    computational complexity; graph theory; group codes; iterative decoding; lattice theory; parity check codes; LDPC codes; Tanner graphs; computational complexity; decoding complexity; group codes; iterative decoding algorithm; lattice decoding; low-density parity-check codes; min-sum algorithm; Bipartite graph; Block codes; Computational complexity; Equations; Iterative algorithms; Iterative decoding; Lattices; Linear programming; Parity check codes; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Electrical and Computer Engineering, 2004. Canadian Conference on
  • ISSN
    0840-7789
  • Print_ISBN
    0-7803-8253-6
  • Type

    conf

  • DOI
    10.1109/CCECE.2004.1349667
  • Filename
    1349667