Analysis of Low-Density Parity-Check Codes Based on EXIT Functions

We exploit extrinsic information tranfer functions of single parity-check and prepetition codes over the binay input additive white Gaussian noise (biAWGN) channel, for asymptotic performance analysis of belief propagation decoding of low-density parity-check codes. The approach is based on a Gaussian approximation (GA) of the density evolution algorithm using the mutual information measure. We show that our method allows more accurate prediction of the decoding threshold in the biAWGN channel than the earlier known GA methods.