论文标题
在二元擦除通道上的度量度相关的低密度均衡检查代码
Degree-degree Correlated Low-density Parity-check Codes Over a Binary Erasure Channel
论文作者
论文摘要
大多数现有的作品用于分析低密度平等检查（LDPC）代码的随机整体的性能，假定随机选择边缘的两端的度分布是独立的。在本文中，我们进一步迈出了一步，并考虑具有学位相关性的LDPC代码的集合。为此，我们提出了两种方法来构建一个相关的LDPC代码的合奏。然后，我们通过二元擦除通道（BEC）得出了此类相关的LDPC代码的密度演化方程系统。通过进行广泛的数值实验，我们展示了程度相关性如何影响LDPC代码的性能。我们的数值结果表明，具有负度度相关性的LDPC代码可以提高最大可忍受的擦除概率。此外，增加负值度相关性可能会导致更好的不平等误差保护（UEP）设计。
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.
