Design of Polar Codes with Single and Multi-Carrier Modulation on Impulsive Noise Channels using Density Evolution
Information Theory
2017-12-05 v1 math.IT
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.
Cite
@article{arxiv.1712.00983,
title = {Design of Polar Codes with Single and Multi-Carrier Modulation on Impulsive Noise Channels using Density Evolution},
author = {Zhen Mei and Bin Dai and Martin Johnston and Rolando Carrasco},
journal= {arXiv preprint arXiv:1712.00983},
year = {2017}
}
Comments
5 pages, 3 figures