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低密度平价检查解码算法基于对称交替方向方法的乘数器
Ji Zhang1,2, Anmin Chen1, Ying Zhang1
1School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471000, China.
Entropy (Basel, Switzerland)
|April 26, 2025
概括
本研究引入了一种新的对称交替方向乘法器 (S-ADMM) 方法,用于解码低密度平价检查 (LDPC) 代码. S-ADMM显著提高了解码性能和精度,特别是在信号噪声比较低的环境中.
科学领域:
- 编码理论编码理论
- 信号处理 信号处理
- 信息理论 信息理论
背景情况:
- 线性编程 (LP) 解码低密度平价检查 (LDPC) 代码对于可靠的通信至关重要.
- 常规的多变器交替方向方法 (ADMM) 提供了效率,但可以与非整体解决方案作斗争.
- 基于ADMM的解码中的惩罚条款可以提高误率 (FER) 的性能,特别是在低信号对噪声比率 (SNR) 的情况下.
研究的目的:
- 使用ADMM框架与惩罚函数来导出LP解码LDPC代码的明确代步骤.
- 提出一种新的对称ADMM (S-ADMM) 算法,以提高LDPC代码解码效率和准确性.
- 分析拟议的S-ADMM代序列的收缩特性.
主要方法:
- 利用ADMM框架开发LDPC代码的代解码步骤.
- 在LP解码目标函数中引入惩罚函数.
- 开发和实施对称ADMM (S-ADMM) 算法.
- 进行模拟实验以评估解码器性能.
主要成果:
- 拟议的S-ADMM算法有效地解决了LP解码LDPC码的LP解码问题.
- 与传统方法相比,S-ADMM表现出更好的解码效率和准确性.
- 模拟结果证实S-ADMM在各种LDPC和5G代码中的性能优于标准ADMM处罚解码器.
结论:
- S-ADMM解码器为LDPC代码的解码性能提供了显著的改进.
- 拟议的方法在低SNR地区特别有效.
- 在现代通信系统中,S-ADMM代表了有效和准确的LDPC代码解码的有希望的进步.
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