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An entropy inequality for q-ary random variables and its application to channel polarization

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1 Author(s)
Şaşoğlu, E. ; EPFL, Lausanne, Switzerland

It is shown that given two copies of a q-ary input channel W, where q is prime, it is possible to create two channels W- and W+ whose symmetric capacities satisfy I(W-) ≤ I(W) ≤ I(W+), where the inequalities are strict except in trivial cases. This leads to a simple proof of channel polarization in the q-ary case.

Published in:

Information Theory Proceedings (ISIT), 2010 IEEE International Symposium on

Date of Conference:

13-18 June 2010