On the Necessity of Binning for the Distributed Hypothesis Testing Problem
Résumé
A distributed hypothesis testing (HT) problem
is considered, comprising two nodes and a unidirectional
communication link. The receiving node is required to make a
decision as to the probability distribution in effect. A binning
process is used in order to minimize the probability of error,
resulting in a new achievable error-exponent. A sub-class of HT
problems with general hypotheses is defined, which contains
many interesting and relevant problems. The advantage of the
binning strategy in comparison to the non-binning approach
is demonstrated by means of a binary symmetric example
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