Polarization Weight Family Methods for Polar Code Construction

TL;DR

This paper introduces generalized polarization weight methods for polar code construction, enhancing robustness and maintaining simplicity, which are crucial for efficient 5G channel coding.

Contribution

It extends the polarization weight approach by incorporating higher-order bases, improving reliability estimation without increasing complexity.

Findings

Enhanced robustness of polar code construction methods.

Maintained computational simplicity with generalized PW methods.

Improved performance over traditional channel-dependent methods.

Abstract

Polar codes are the first proven capacity-achieving codes. Recently, they are adopted as the channel coding scheme for 5G due to their superior performance.A polar code for encoding length-K information bits in length-N codeword could be specified by the polar code construction method. Most construction methods define a polar code related to channel parameter set, e.g. designed signal-to-noise ratio. Polarization weight (PW) is a channel-independent approximation method, which estimates the subchannel reliability as a function of its index. In this paper, we generalize the PW method by including higher-order bases or extended bases. The proposed methods have robust performance while preserving the computational and mathematical simplicity as PW.