Ergodic Theory Meets Polarization I: A Foundation of Polarization Theory

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. This paper solves this problem by providing a necessary and sufficient condition for a binary operation to be polarizing. The characterization is given in terms of a new mathematical framework that we introduce. We show that a binary operation is polarizing if and only if its inverse is strongly ergodic.


Published in:
2015 IEEE International Symposium on Information Theory (ISIT), 2451-2455
Presented at:
2015 IEEE International Symposium on Information Theory (ISIT), Hong Kong, Hong Kong, 14-19 June 2015
Year:
2015
Publisher:
IEEE
Keywords:
Laboratories:




 Record created 2015-01-24, last modified 2018-09-13


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