Density Evolution Analysis of Generalized Low-density Parity-check Codes under a Posteriori Probability Decoder

Generalized low-density parity-check (GLDPC) codes under the a posteriori probability (APP) decoder can reduce the gap to capacity compared to their original LDPC counterparts over the binary erasure channel and binary-input additive white Gaussian noise channel when an appropriate proportion of generalized constraint nodes is used.