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  4. An entropy inequality for q-ary random variables and its application to channel polarization
 
conference paper

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

Sasoglu, Eren  
2010
2010 Ieee International Symposium On Information Theory
2010 IEEE International Symposium on Information Theory

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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Type
conference paper
DOI
10.1109/ISIT.2010.5513502
Web of Science ID

WOS:000287512700274

Author(s)
Sasoglu, Eren  
Date Issued

2010

Publisher

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa

Published in
2010 Ieee International Symposium On Information Theory
ISBN of the book

978-1-4244-6960-4

Start page

1360

End page

1363

Subjects

Channel polarization

•

polar codes

•

entropy inequality

Editorial or Peer reviewed

NON-REVIEWED

Written at

EPFL

EPFL units
LTHI  
Event nameEvent placeEvent date
2010 IEEE International Symposium on Information Theory

Austin, TX

Jul 13, 2010

Available on Infoscience
December 16, 2011
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/74761
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