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07 February 2025
 
  » arxiv » 1605.0274

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Uncertain Wiretap Channels and Secure Estimation
Moritz Wiese ; Karl Henrik Johansson ; Tobias J. Oechtering ; Panos Papadimitratos ; Henrik Sandberg ; Mikael Skoglund ;
Date 1 May 2016
AbstractUncertain 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.
Source arXiv, 1605.0274
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