IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Special Section on Information Theory and Its Applications
A Universal Affine Code for Symmetric Channels
Tomohiko UYEMATSU
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2011 Volume E94.A Issue 11 Pages 2097-2104

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Abstract
This paper investigates the performance of a combination of the affine encoder and the maximum mutual information decoder for symmetric channels, and proves that the random coding error exponent can be attained by this combination even if the conditional probability of the symmetric channel is not known to the encoder and decoder. This result clarifies that the restriction of the encoder to the class of affine encoders does not affect the asymptotic performance of the universal code for symmetric channels.
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© 2011 The Institute of Electronics, Information and Communication Engineers
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