Performance Analysis of Perturbation-Enhanced SC Decoders

In this letter, 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.