A Proof of Non-stationary Channel Polarization
Information Theory
2021-01-18 v5 math.IT
Abstract
In this letter, we consider the proof of non-stationary channel polarization theory. First we construct a multi-channel stochastic process for the non-stationary channel polarization operation. Then based on this stochastic process, we extend Ar{\i}kan's standard martingale proof method on the average channel capacity and average channel Bhattacharyya parameter, by which we have proved the non-stationary channel polarization theory.
Keywords
Cite
@article{arxiv.1812.00160,
title = {A Proof of Non-stationary Channel Polarization},
author = {Yizhi Zhao and Hongmei Chi and Shiwei Xu and Lingjuan Wu and Yuling Fan},
journal= {arXiv preprint arXiv:1812.00160},
year = {2021}
}