Error correction capability of irregular LDPC codes under the Gallager a algorithm

Many researchers have analyzed the error correction capability of LDPC codes for iterative decoding algorithms. However, it is difficult to show the error correction capability of LDPC codes for iterative decoding algorithms based on belief propagation theoretically. Chilappagari et al. reported the error correction capability of column-weight-three regular LDPC codes under the Gallager A algorithm since the behavior of the iterative decoding algorithm is easily analyzed. In this paper, we investigate the error correction capability of irregular LDPC codes. We also show relations between the decoding failures and 2-cycles of irregular LDPC codes under the Gallager A algorithm.