Exact single-letter exponents for false-alarm and missed-detection probabilities are derived for the hypothesis-testing formulation of soft covering, exposing a phase diagram with collapse at the mutual-information rate.
The common information of two dependent random variables,
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Soft Covering Through the Lens of Hypothesis Testing
Exact single-letter exponents for false-alarm and missed-detection probabilities are derived for the hypothesis-testing formulation of soft covering, exposing a phase diagram with collapse at the mutual-information rate.