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

2026-07-16

AI Summary

This study investigates the impact of perturbation power on the delay of the first erroneous bit position in finite-length perturbation-enhanced successive cancellation (PE-SC) decoding. It reveals a non-monotonic relationship between the probability of delaying the first error and the perturbation power, and leverages this insight to propose an efficient perturbation power selection algorithm that maximizes the likelihood of such delay. By integrating finite-length code analysis with non-monotonic optimization, the proposed method significantly enhances the error-correction performance of PE-SC decoding without increasing computational complexity. This work thus provides a practical and effective strategy for improving the performance of finite-length polar codes in real-world applications.

Abstract

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.

Problem

• perturbation power
• first-error delay
• successive cancellation decoding
• finite-length codes
• error position

Innovation

• perturbation power selection
• first-error delay maximization
• non-monotonic dependence
• PE-SC decoding
• successive cancellation decoding