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Strong Converse, Feedback Channel Capacity and Hypothesis Testing
 

Summary: Strong Converse, Feedback Channel Capacity
and Hypothesis Testing
Po-Ning Chen 1 and Fady Alajaji 2
1 Wan Ta Technologies Inc., Taipei, Taiwan, R.O.C.
2 Department of Electrical Engineering and Institute for Systems Research
University of Maryland, College Park, MD 20742
ABSTRACT
In light of recent results by Verdu and Han on channel
capacity, we examine three problems: the strong converse
condition to the channel coding theorem, the capacity of
arbitrary channels with feedback and the Neyman-Pearson
hypothesis testing type-II error exponent. It is rst re-
marked that the strong converse condition holds if and only
if the sequence of normalized channel information densities
converges in probability to a constant. Examples illustrat-
ing this condition are also provided. A general formula
for the capacity of arbitrary channels with output feed-
back is then obtained. Finally, a general expression for
the Neyman-Pearson type-II error exponent based on ar-
bitrary observations subject to a constant bound on the

  

Source: Alajaji, Fady - Department of Mathematics and Statistics, Queen's University (Kingston)

 

Collections: Engineering