Degree-degree Correlated Low-density Parity-check Codes Over a Binary Erasure Channel
| Autor: | Yu, Hsiao-Wen, Lee, Cheng-En, Zhang, Ruhui, Chang, Cheng-Shang, Lee, Duan-Shin |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | Most existing works on analyzing the performance of a random ensemble of low-density parity-check (LDPC) codes assume that the degree distributions of the two ends of a randomly selected edge are independent. In the paper, we take one step further and consider ensembles of LDPC codes with degree-degree correlations. For this, we propose two methods to construct an ensemble of degree-degree correlated LDPC codes. We then derive a system of density evolution equations for such degree-degree correlated LDPC codes over a binary erasure channel (BEC). By conducting extensive numerical experiments, we show how the degree-degree correlation affects the performance of LDPC codes. Our numerical results show that LDPC codes with negative degree-degree correlation could improve the maximum tolerable erasure probability. Moreover, increasing the negative degree-degree correlation could lead to better unequal error protection (UEP) design. Comment: accepted by the 2023 IEEE International Symposium on Information Theory (ISIT) |
| Databáze: | arXiv |
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