Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/12969
Title: Study of bifurcation behavior of LDPC decoders
Authors: Zheng, X
Lau, FCM 
Tse, CK 
Wong, SC 
Keywords: Iterative decoders
Low-density-parity-check codes
Nonlinear dynamical systems
Phase trajectories
Issue Date: 2006
Publisher: World Scientific
Source: International journal of bifurcation and chaos in applied sciences and engineering, 2006, v. 16, no. 11, p. 3435-3449 How to cite?
Journal: International journal of bifurcation and chaos in applied sciences and engineering 
Abstract: 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.
URI: http://hdl.handle.net/10397/12969
ISSN: 0218-1274
EISSN: 1793-6551
DOI: 10.1142/S0218127406016926
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