Perturbation Power Selection for First-Error Delay Maximization in Enhanced SC Decoding
For researchers working on polar code decoding, this work provides an incremental improvement to perturbation-enhanced SC decoding by optimizing a parameter.
The paper analyzes how perturbation power affects the delay of the first decoding error in successive cancellation decoding, and proposes an algorithm to select perturbation power that maximizes this delay probability, improving decoding efficiency.
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.