Design and simulations of LDPC codes on GF(q) based on PEG algorithm

Yong Li, Lin Wang, Chen Jun-bin · Journal of Chongqing University of Posts and Telecommunications · 2006

In this paper,the PEG(Progressive Edge Growth) algorithm is introduced into the design of checkout matrix of LDPC codes and the Fourier transform(FT) decoding algorithm is also used.Simulation results show that the performance of LDPC codes on GF(4),based on PEG Tanner graphs,is apparently better than that based on random graphs at the short and medium block lengths.And LDPC codes on GF(4) outperform that on GF(2) slightly with analogous complexity.Obviously based on PEG principle,LDPC codes on GF(4) are of greater practical value in future digital communication systems.

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