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arxiv: 2501.05718 · v1 · pith:IFINXRMXnew · submitted 2025-01-10 · 💻 cs.IT · math.IT

Performance Analysis of Perturbation-enhanced SC decoders

classification 💻 cs.IT math.IT
keywords performanceperturbation-enhancedanalysisdecodingprobabilityanalyzeasymptoticallycancellation
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In this paper, we analyze the delay probability of the first error position in perturbation-enhanced Successive cancellation (SC) decoding for polar codes. Our findings reveal that, asymptotically, an SC decoder's performance does not degrade after one perturbation, and it improves with a probability of $\frac{1}{2}$. This analysis explains the sustained performance gains of perturbation-enhanced SC decoding as code length increases.

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