Design of Polar Codes with Single and Multi-Carrier Modulation on Impulsive Noise Channels using Density Evolution

TL;DR

This paper introduces density evolution-based methods for designing polar codes tailored for impulsive noise channels in both single and multi-carrier systems, providing bounds on block error probability and demonstrating improved performance with more carriers.

Contribution

It proposes novel density evolution-based construction techniques for polar codes on impulsive noise channels and derives bounds on block error probability for these systems.

Findings

Derived tight bounds on block error probability for single-carrier systems.

Established that the lower bound on BLEP becomes tighter with more carriers in multi-carrier systems.

Compared performance of proposed methods with existing approaches.

Abstract

In this paper, density evolution-based construction methods to design good polar codes on impulsive noise channels for single-carrier and multi-carrier systems are proposed and evaluated. For a single-carrier system, the tight bound of the block error probability (BLEP) is derived by applying density evolution and the performance of the proposed construction methods are compared. For the multi-carrier system employing orthogonal frequency-division multiplexing, the accurate BLEP estimation is not feasible so a tight lower bound on the BLEP for polar codes is derived by assuming the noise on each sub-carrier is Gaussian. The results show that the lower bound becomes tighter as the number of carriers increases.