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arXiv · 1605.00274

Uncertain Wiretap Channels and Secure Estimation

Moritz Wiese·Karl Henrik Johansson·Tobias J. Oechtering·Panos Papadimitratos·Henrik Sandberg·Mikael Skoglund
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Abstract

Uncertain wiretap channels are introduced. Their zero-error secrecy capacity is defined. If the sensor-estimator channel is perfect, it is also calculated. Further properties are discussed. The problem of estimating a dynamical system with nonstochastic disturbances is studied where the sensor is connected to the estimator and an eavesdropper via an uncertain wiretap channel. The estimator should obtain a uniformly bounded estimation error whereas the eavesdropper's error should tend to infinity. It is proved that the system can be estimated securely if the zero-error capacity of the sensor-estimator channel is strictly larger than the logarithm of the system's unstable pole and the zero-error secrecy capacity of the uncertain wiretap channel is positive.

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Moritz Wiese, Karl Henrik Johansson, Tobias J. Oechtering, Panos Papadimitratos, Henrik Sandberg, Mikael Skoglund. 2016-05-01. Uncertain Wiretap Channels and Secure Estimation. https://arxiv.org/abs/1605.00274

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