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Maximizing Privacy in MIMO Cyber-Physical Systems Using the Chapman-Robbins Bound

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Document pages: 9 pages

Abstract: Privacy breaches of cyber-physical systems could expose vulnerabilities to anadversary. Here, privacy leaks of step inputs to linear-time-invariant systemsare mitigated through additive Gaussian noise. Fundamental lower bounds on theprivacy are derived, which are based on the variance of any estimator thatseeks to recreate the input. Fully private inputs are investigated and relatedto transmission zeros. Thereafter, a method to increase the privacy of optimalstep inputs is presented and a privacy-utility trade-off bound is derived.Finally, these results are verified on data from the KTH Live-In Lab Testbed,showing good correspondence with theoretical results.

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