Study of nonlinear dynamics of LDPC decoders

Low-density-parity-check (LDPC) codes have aroused much research interest because of their excellent bit error performance. The behaviour of the iterative LDPC decoders, however, has not been fully investigated at all signal-to-noise ratios (SNRs). By considering the LDPC decoders as high-dimensional nonlinear dynamical systems, we attempt to study the corresponding phase trajectories at different SNR values. By having an in-depth understanding of the decoder behaviour, engineers should be able to design more effective and efficient decoders.