Evaluation of the extremely low block error rate of irregular LDPC codes
ICC'09 Proceedings of the 2009 IEEE international conference on Communications
The capacity of low-density parity-check codes under message-passing decoding
IEEE Transactions on Information Theory
Design of capacity-approaching irregular low-density parity-check codes
IEEE Transactions on Information Theory
Regular and irregular progressive edge-growth tanner graphs
IEEE Transactions on Information Theory
Asymptotic Spectra of Trapping Sets in Regular and Irregular LDPC Code Ensembles
IEEE Transactions on Information Theory
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Trapping sets (TSs) have been known to contribute to errors in the decoding of low-density parity-check (LDPC) codes, particularly at the high signal-to-noise ratio (SNR) region. Moreover, TSs with the same label [w; u] are considered equivalent under the automorphism of the graph of a regular code. But according to our our simulations, TSs with the same label [w; u] are producing different error rates in the case of irregular codes. In this paper, we will identify and explain the cause of the differences in error rates for TSs with the same label. Further, we will propose a simple mechanism to differentiate these TSs.