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This paper investigates correlation-based fingerprint authentication schemes that can be used for mobile devices. The investigated algorithms were implemented with a J2ME environment on the application layer. In order to reduce the resources demanded for the mobile device environment, we also propose a new hierarchical correlation-based scheme based on the idea that the overall authentication can be decomposed into partial autocorrelations. The algorithms have been tested on a J2ME CDC 1.0 emulator of a smart mobile phone.