Polarized Low-Density Parity-Check Codes on the BSC

TL;DR

This paper introduces polarized LDPC codes inspired by polar code structures, demonstrating improved performance with lower or no error floors on the BSC.

Contribution

It proposes a novel construction method for LDPC codes that leverages polarization effects inspired by polar codes.

Findings

Achieves lower error floors on the BSC

Demonstrates polarization effect improves LDPC performance

Outperforms traditional LDPC codes in simulations

Abstract

The connections between variable nodes and check nodes have a great influence on the performance of low-density parity-check (LDPC) codes. Inspired by the unique structure of polar code's generator matrix, we proposed a new method of constructing LDPC codes that achieves a polarization effect. The new code, named as polarized LDPC codes, is shown to achieve lower or no error floor in the binary symmetric channel (BSC)