Ergodic theory meets polarization II: A foundation of polarization theory for MACs

@article{Nasser2015ErgodicTM,
title={Ergodic theory meets polarization II: A foundation of polarization theory for MACs},
author={Rajai Nasser},
journal={2015 IEEE International Symposium on Information Theory (ISIT)},
year={2015},
pages={2456-2460}
}

An open problem in polarization theory is to determine the binary operations that always lead to polarization when they are used in Arıkan style constructions for multiple access channels (MAC). This paper solves this problem by providing a necessary and sufficient condition for a sequence of binary operations to be polarizing. We show that a sequence of binary operations is MAC-polarizing if and only if the inverse of each binary operation in the sequence is strongly ergodic. We extend the… CONTINUE READING