Study of bifurcation behavior of LDPC decoders

Xia Zheng, Chung Ming Lau, Chi Kong Tse, Siu Chung Wong

Research output: Journal article publicationJournal articleAcademic researchpeer-review

5 Citations (Scopus)


The use of low-density-parity-check (LDPC) codes in coding digital messages has aroused much research interest because of their excellent bit-error performance. The behavior of the iterative LDPC decoders of finite length, however, has not been fully evaluated under different signal-to-noise conditions. By considering the finite-length LDPC decoders as high-dimensional nonlinear dynamical systems, we attempt to investigate their dynamical behavior and bifurcation phenomena for a range of signal-to-noise ratios (SNRs). Extensive simulations have been performed on both regular and irregular LDPC codes. Moreover, we derive the Jacobian of the system and calculate the corresponding eigenvalues. Results show that bifurcations, including fold, flip and Neimark-Sacker bifurcations, are exhibited by the LDPC decoder. Results are useful for optimizing the choice of parameters that may enhance the effectiveness of the decoding algorithm and improve the convergence rates.
Original languageEnglish
Pages (from-to)3435-3449
Number of pages15
JournalInternational Journal of Bifurcation and Chaos
Issue number11
Publication statusPublished - 1 Jan 2006


  • Iterative decoders
  • Low-density-parity-check codes
  • Nonlinear dynamical systems
  • Phase trajectories

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics


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