Efficient decoding of low density lattice codes

Shuiyin Liu, Yi Hong, Emanuele Viterbo, Alessia Marelli, Rino Micheloni

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)


This letter describes a low complexity belief propagation decoder for low density lattice codes (LDLC). Compared with the fastest decoder in the literature, the memory usage and computational complexity at each variable node is reduced from {O(2{d})} to {O} ( {d} ), where {d} is the degree of LDLC. The cost at each check node remains at {O} ( {d} ). The key idea is to compute each variable message based on 2{d} {-} 2 Gaussian functions, rather than {2{d{{-}}1}} Gaussian functions in the previous decoders. A novel convergence analysis is given for Gaussian approximation (GA)-based LDLC decoders. Simulation results confirm that the proposed decoder can lower the error floor of the fastest GA-based decoder.

Original languageEnglish
Article number8692424
Pages (from-to)1195-1199
Number of pages5
JournalIEEE Wireless Communications Letters
Issue number4
Publication statusPublished - 1 Aug 2019


  • decoding
  • Gaussian approximation
  • LDLC
  • low complexity

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