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arXiv 2607.15553cs.ITmath.IT

增强型SC解码中用于最大化首次错误延迟的扰动功率选择

Perturbation Power Selection for First-Error Delay Maximization in Enhanced SC Decoding

Zhicheng Liu, Liuquan Yao, Shuai Yuan, Zhongjun Yang, Guiying Yan, Zhiming Ma, Li Chen, Zechun Hu

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中文总结 AI 辅助

研究在有限长度扰动增强型SC解码中,分析扰动功率对首个错误位置延迟的影响,发现其概率对扰动功率呈非单调依赖,进而提出最大化延迟概率的扰动功率选择算法,提升了扰动效率。

中文摘要 AI 辅助

本文分析了扰动功率对延迟首个错误位置(即连续消除(SC)解码中首个错误解码的信息比特)的影响。研究在有限长度扰动增强型SC(PE - SC)解码范式下进行。结果表明首个错误位置延迟概率对扰动功率\(\sigma_{p}^{2}\)呈现非单调依赖关系。基于此特性,提出一种最大化延迟概率的有效扰动功率选择算法,以提高扰动效率,实现有限长度PE - SC解码中更高效的扰动功率选择。

英文摘要

In this paper, we analyze the effect of perturbation power in delaying the first error position, i.e., the first information bit incorrectly decoded by the successive cancellation (SC) decoding. It is conducted over the finite-length perturbation-enhanced SC (PE-SC) decoding paradigm. We show that the FEP delaying probability exhibits a non-monotonic dependence on the perturbation power \(σ_{p}^{2}\). Based on this property, an efficient perturbation power selection algorithm that maximizes the delay probability is proposed to enhance the perturbation efficiency. It results in a more efficient perturbation power selection in finite-length PE-SC decoding.

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