Conference paper

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

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.


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