TY - JOUR
T1 - Study of bifurcation behavior of two-dimensional turbo product code decoders
AU - He, Yejun
AU - Lau, Francis C.M.
AU - Tse, Chi K.
PY - 2008/4
Y1 - 2008/4
N2 - Turbo codes, low-density parity-check (LDPC) codes and turbo product codes (TPCs) are high performance error-correction codes which employ iterative algorithms for decoding. Under different conditions, the behaviors of the decoders are different. While the nonlinear dynamical behaviors of turbo code decoders and LDPC decoders have been reported in the literature, the dynamical behavior of TPC decoders is relatively unexplored. In this paper, we investigate the behavior of the iterative algorithm of a two-dimensional TPC decoder when the input signal-to-noise ratio (SNR) varies. The quantity to be measured is the mean square value of the posterior probabilities of the information bits. Unlike turbo decoders or LDPC decoders, TPC decoders do not produce a clear "waterfall region". This is mainly because the TPC decoding algorithm does not converge to "indecisive" fixed points even at very low SNR values. © 2006 Elsevier Ltd. All rights reserved.
AB - Turbo codes, low-density parity-check (LDPC) codes and turbo product codes (TPCs) are high performance error-correction codes which employ iterative algorithms for decoding. Under different conditions, the behaviors of the decoders are different. While the nonlinear dynamical behaviors of turbo code decoders and LDPC decoders have been reported in the literature, the dynamical behavior of TPC decoders is relatively unexplored. In this paper, we investigate the behavior of the iterative algorithm of a two-dimensional TPC decoder when the input signal-to-noise ratio (SNR) varies. The quantity to be measured is the mean square value of the posterior probabilities of the information bits. Unlike turbo decoders or LDPC decoders, TPC decoders do not produce a clear "waterfall region". This is mainly because the TPC decoding algorithm does not converge to "indecisive" fixed points even at very low SNR values. © 2006 Elsevier Ltd. All rights reserved.
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U2 - 10.1016/j.chaos.2006.06.101
DO - 10.1016/j.chaos.2006.06.101
M3 - RGC 21 - Publication in refereed journal
SN - 0960-0779
VL - 36
SP - 500
EP - 511
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 2
ER -