Design polar codes with 3×3 kernel matrix based on piecewise Gaussian approximation

Wencai Liu; Zhiliang Huang; Youyan Zhang; Shuihong Zhou

doi:10.1117/12.3017350

15 December 2023 Design polar codes with 3×3 kernel matrix based on piecewise Gaussian approximation

Wencai Liu, Zhiliang Huang, Youyan Zhang, Shuihong Zhou

Proceedings Volume 12971, Third International Conference on Optics and Communication Technology (ICOCT 2023); 1297108 (2023) https://doi.org/10.1117/12.3017350
Event: Third International Conference on Optics and Communication Technology (ICOCT 2023), 2023, Changchun, China

Abstract

Polar codes with large kernel matrix have larger polarization rates than polar codes with the original 2×2 kernel matrix, resulting in better decoding error correction performance for the same block length. In this paper, the piecewise Gaussian approximation (PGA) design method based on polar codes with the 2×2 kernel matrix is extended to polar codes with the 3×3 kernel matrix. A recursive formula for the mean of the log-likelihood ratio of the 3×3 kernel matrix polar codes is derived, and the PGA design algorithm for the 3×3 kernel matrix polar codes is given. The simulation results show that the frame error rate performance of polar codes with the 3×3 kernel matrix constructed by the PGA method is better than that the polar codes constructed by the exact Gaussian approximation (EGA) and the approximate Gaussian approximation (AGA) methods.

(2023) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Wencai Liu, Zhiliang Huang, Youyan Zhang, and Shuihong Zhou "Design polar codes with 3×3 kernel matrix based on piecewise Gaussian approximation", Proc. SPIE 12971, Third International Conference on Optics and Communication Technology (ICOCT 2023), 1297108 (15 December 2023); https://doi.org/10.1117/12.3017350

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available