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We study the ensemble performance of biometric authentication systems, basedon secret key generation, which work as follows. In the enrollment stage, anindividual provides a biometric signal that is mapped into a secret key and ahelper message, the former being prepared to become available to the system ata later time (for authentication), and the latter is stored in a publicdatabase. When an authorized user requests authentication, claiming his/heridentity as one of the subscribers, s/he has to provide a biometric signalagain, and then the system, which retrieves also the helper message of theclaimed subscriber, produces an estimate of the secret key, that is finallycompared to the secret key of the claimed user. In case of a match, theauthentication request is approved, otherwise, it is rejected.Referring to anensemble of systems based on Slepian-Wolf binning, we provide a detailedanalysis of the false-reject and false-accept probabilities, for a wide classof stochastic decoders. We also comment on the security for the typical code inthe ensemble.

Ensemble Performance of Biometric Authentication Systems Based on Secret Key Generation