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research article
Extremal Channels of Gallager's E-0 Under the Basic Polarization Transformations
We study the extremality of the binary erasure channel and the binary symmetric channel for Gallager's reliability function E-0 of binary input discrete memoryless channels evaluated under the uniform input distribution from the aspect of channel polarization. In particular, we show that amongst all binary discrete memoryless channels of a given E-0(rho) value, for a fixed rho >= 0, the binary erasure channel and the binary symmetric channel are extremal in the evolution of E-0 under the one-step polarization transformations.
Type
research article
Web of Science ID
WOS:000331902400017
Authors
Publication date
2014
Published in
Volume
60
Issue
3
Start page
1582
End page
1591
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
April 2, 2014
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