Efficient LLR-Domain Decoding of ABS+ Polar Codes

TL;DR

This paper introduces an efficient LLR-domain SCL decoding algorithm for ABS+ polar codes, reducing computational complexity while maintaining error performance at high SNR.

Contribution

It presents a novel LLR-domain decoding method for ABS+ polar codes and optimizes the algorithm to lower complexity compared to classical polar codes.

Findings

Requires fewer arithmetic operations for the same FER at high SNR

Maintains similar error performance as classical polar codes

Provides a faster polarization technique

Abstract

ABS+ polar codes are a generalization of Arikan polar codes that provides much faster polarization. We present an LLR-domain version of the SCL decoder of ABS+ polar codes. Furthermore, we optimize the SCL algorithm in order to reduce the complexity of LLR computation. In comparison with classical polar codes, the proposed approach requires less number of arithmetic operations in the SCL decoder to obtain the same frame error rate (FER) at high-SNR region.