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Communication Dans Un Congrès Année : 2023

Testing against independence with an eavesdropper

Résumé

We study a distributed binary hypothesis testing (HT) problem with communication and security constraints, involving three parties: a remote sensor called Alice, a legitimate decision center called Bob, and an eavesdropper called Eve, all having their own source observations. In this system, Alice conveys a rate-R description of her observations to Bob, and Bob performs a binary hypothesis test on the joint distribution underlying his and Alice’s observations. The goal of Alice and Bob is to maximize the exponential decay of Bob’s miss-detection (type-II error) probability under two constraints: Bob’s false-alarm (type-I error) probability has to stay below a given threshold and Eve’s uncertainty (equivocation) about Alice’s observations should stay above a given security threshold even when Eve learns Alice’s message. For the special case of testing against independence, we characterize the largest possible type-II error exponent under the described type-I error probability and security constraints.

Dates et versions

hal-04240058 , version 1 (12-10-2023)

Identifiants

Citer

Sara Faour, Mustapha Hamad, Mireille Sarkiss, Michèle Wigger. Testing against independence with an eavesdropper. 2023 IEEE Information Theory Workshop (ITW), Apr 2023, Saint-Malo, France. pp.277-282, ⟨10.1109/ITW55543.2023.10161630⟩. ⟨hal-04240058⟩
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