English

Uncertain Wiretap Channels and Secure Estimation

Systems and Control 2016-05-03 v1 Information Theory math.IT

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.

Keywords

Cite

@article{arxiv.1605.00274,
  title  = {Uncertain Wiretap Channels and Secure Estimation},
  author = {Moritz Wiese and Karl Henrik Johansson and Tobias J. Oechtering and Panos Papadimitratos and Henrik Sandberg and Mikael Skoglund},
  journal= {arXiv preprint arXiv:1605.00274},
  year   = {2016}
}

Comments

Long version of a paper to be presented at ISIT 2016

R2 v1 2026-06-22T13:45:51.514Z