Hypothesis Testing and Identification Systems

We study hypothesis testing problems with fixed compression mappings and user-dependent to decide whether or not an observation sequence is related one of the users in a database, which contains compressed versions previously enrolled users' data. first provide optimal characterization exponent probability second type error for scenario when number database grows exponentially. then establish operational equivalence relations between Wyner-Ahlswede-Körner network, single-user problem, multi-user problem identification systems mappings. These imply strong converse exponentially both Finally they also show how scheme can be turned into explicit transfer rate conditions vice versa.