Multi-Kernel Polar Codes: Proof of Polarization and Error Exponents
Information Theory
2017-10-02 v1 math.IT
Abstract
In this paper, we investigate a novel family of polar codes based on multi-kernel constructions, proving that this construction actually polarizes. To this end, we derive a new and more general proof of polarization, which gives sufficient conditions for kernels to polarize. Finally, we derive the convergence rate of the multi-kernel construction and relate it to the convergence rate of each of the constituent kernels.
Keywords
Cite
@article{arxiv.1709.10371,
title = {Multi-Kernel Polar Codes: Proof of Polarization and Error Exponents},
author = {Meryem Benammar and Valerio Bioglio and Frederic Gabry and Ingmar Land},
journal= {arXiv preprint arXiv:1709.10371},
year = {2017}
}
Comments
Accepted and to be presented at ITW 2017, Kaohsiung