Degree-degree Correlated Low-density Parity-check Codes Over a Binary Erasure Channel Article Swipe
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2211.07085
· OA: W4309132699
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- correlations. For this, we propose two methods to construct an ensemble of degree- correlated LDPC codes. We then derive a system of density evolution equations for such degree- correlated LDPC codes over a binary erasure channel (BEC). By conducting extensive numerical experiments, we show how the degree- correlation affects the performance of LDPC codes. Our numerical results show that LDPC codes with negative degree- correlation could improve the maximum tolerable erasure probability. Moreover, increasing the negative degree- correlation could lead to better unequal error protection (UEP) design.
