基于图形理论的联合源道编码系统的低密度平价检查代码对的设计.
Yijie Lv1, Jiguang He2,3, Weikai Xu1
1Department of Information and Communication Engineering, Xiamen University, Xiamen 361005, China.
Entropy (Basel, Switzerland)
|August 26, 2023
概括
本研究引入了一种新的图形理论方法,用于在联合源-通道编码系统中构建双低密度平价检查 (D-LDPC) 代码. 新的D-LDPC代码提供了更好的性能和灵活的长度适应性.
科学领域:
- 编码理论编码理论
- 信息理论 信息理论
- 图形理论 图形理论
背景情况:
- 联合源通道编码 (JSCC) 系统需要高效的错误纠正代码.
- 低密度平价检查 (LDPC) 代码被广泛使用,因为它们的性能接近香农极限.
- 为JSCC设计LDPC代码对 (D-LDPC) 在优化性能和灵活性方面提出了独特的挑战.
研究的目的:
- 开发一种新的图形理论方法来构建D-LDPC代码.
- 为了提高JSCC系统中LDPC代码对的性能和长灵活性.
- 为共同设计的LDPC代码预设平价检查矩阵的周长.
主要方法:
- 应用图形理论方法,利用与平价检查矩阵相关的集合之间的约束.
- 通过预设它们的平价检查矩阵的周长,共同设计两个LDPC代码.
- 构建具有身份子矩阵和可预设列权重的额外子矩阵的平价检查矩阵.
主要成果:
- 与基准代码对相比,构建的D-LDPC代码显示出显著的性能改进.
- D-LDPC代码表现出增强的灵活长,更好地适应各种通道条件.
- 图形理论方法允许精确控制代码属性,如周长和列重量.
结论:
- 拟议的图形理论方法对于构建JSCC.高性能D-LDPC代码是有效的.
- 开发的D-LDPC代码在性能和适应性之间提供了有价值的权衡.
- 这种方法为设计适合特定通信要求的LDPC代码对提供了灵活的框架.
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