Secret Key-based Authentication With Passive Eavesdropper for Scalar Gaussian Sources

TL;DR

This paper characterizes the fundamental trade-offs in secret key-based authentication systems with passive eavesdroppers for correlated Gaussian sources, providing new insights and explicit capacity region expressions.

Contribution

It offers a complete characterization of the secret-key, storage, and privacy-leakage trade-offs for Gaussian sources, revealing no need for a second auxiliary variable unlike discrete cases.

Findings

No second auxiliary variable needed for Gaussian capacity regions.

Strong secrecy can be achieved via an information-spectrum approach.

Explicit, computable expressions for capacity regions are derived.

Abstract

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.