Skip to main navigation Skip to search Skip to main content

Improve Polar/PAC Codes via Efficient Estimation on Weight Distribution

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, we first introduce an efficient method for estimating weight distributions of polar codes and polarization-adjusted convolutional (PAC) codes. Based on a recursive algorithm of computing the weight enumerating functions of polar cosets, this method focuses on two key objectives: accurately determining the number of low-weight codewords and quickly approximating the distribution of high-weight codewords. Then we optimize the Reed Muller-Gaussian Approximation (RM-GA) rate profiling scheme with the help of the proposed method aiming at reducing the truncated union bound (TUB). Simulation results demonstrate that the proposed hybrid method maintains competitively low complexity while effectively achieving the objectives. The TUB-improved RM-GA rate profiling scheme for polar codes exhibits a performance improvement of nearly 1 dB at 10-4 compared to GA and around 0.3 dB improvement compared to RM-GA. The proposed scheme for PAC codes also achieves an enhancement of approximately 0.52 dB at 10-5 compared to the commonly used RM-GA scheme.

Original languageEnglish
Title of host publication2024 IEEE Wireless Communications and Networking Conference, WCNC 2024 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9798350303582
DOIs
StatePublished - 2024
Externally publishedYes
Event25th IEEE Wireless Communications and Networking Conference, WCNC 2024 - Dubai, United Arab Emirates
Duration: 21 Apr 202424 Apr 2024

Publication series

NameIEEE Wireless Communications and Networking Conference, WCNC
ISSN (Print)1525-3511

Conference

Conference25th IEEE Wireless Communications and Networking Conference, WCNC 2024
Country/TerritoryUnited Arab Emirates
CityDubai
Period21/04/2424/04/24

Keywords

  • PAC codes
  • Polar codes
  • rate profiling
  • weight distribution

Fingerprint

Dive into the research topics of 'Improve Polar/PAC Codes via Efficient Estimation on Weight Distribution'. Together they form a unique fingerprint.

Cite this