关于极地码的混合因子的说明
Keer Wei1, Xiaoyu Jin1, Weihua Yang1
1School of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China.
Entropy (Basel, Switzerland)
|November 24, 2023
概括
当列表大小足够时,极地代码通过连续取消列表解码实现接近最大概率的性能. 这项研究建立了一个新的可实现的混合因子的上限,在带有偶数m的极性代码中,并提出了改进的解码规则.
科学领域:
- 编码理论编码理论
- 信息理论 信息理论
- 数字通信数字通信
背景情况:
- 极点代码是错误纠正代码的一类,以其实现理论通道容量的能力而闻名.
- 连续取消列表 (SCL) 解码是极性代码的强大解码算法,接近最大概率 (ML) 性能.
- 混合因子 (MF) 是一个影响极性码性能的关键参数,特别是在ML类性能所需的列表大小方面.
研究的目的:
- 确定一个可实现的极点代码的混合因子的上限,其长度为n=2^m,当m为偶数时的速率为R<=1/2.
- 为极点代码提出一种新的硬决策解码规则,该规则可以超越最后一个冷位.
- 增强对二进制输入无内存对称 (BMS) 通道中极性代码的理解和实际应用.
主要方法:
- 对具有特定代码长度和速率的极点代码的混合因子 (MF) 的分析.
- 在m为偶数的情况下,导出MF可实现的上限.
- 开发一种新的硬决策解码规则,用于SCL解码极点代码.
主要成果:
- 长度为n=2^m,速率为R<=1/2的单项极码的混合因子 (MF) 的可实现的上限被确定为偶数m.
- 等人之前已知的奇数m的上限. 证实可以达到,甚至m的新边界也被证明是可以实现的.
- 提出了一个新的硬决策解码规则,提供了除了最后一个冷位之外的解码性能的潜在改进.
结论:
- 这项研究提供了一个更完整的理解混合因子的极性码的上限在不同的平价的m.
- 拟议的解码规则为提高SCL解码的性能提供了一种新方法,特别是在解码过程的后期阶段.
- 这些发现有助于极性编码技术的进步,以通过BMS通道进行可靠的通信.
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