  We analyze the fundamental trade-off of secret key-based authentication
systems in the presence of an eavesdropper for correlated Gaussian sources. A
complete characterization of trade-off among secret-key, storage, and
privacy-leakage rates of both generated and chosen secret models is provided.
One of the main contributions is revealing that unlike the known results for
discrete sources, there is no need for the second auxiliary random variable in
characterizing the capacity regions for the Gaussian cases. In addition, it is
shown that the strong secrecy for secrecy-leakage of the systems can be
achieved by an information-spectrum approach, and the parametric expressions
(computable forms) of the capacity regions are also derived.
