论文标题
通过窃听者进行反对独立的测试
Testing Against Independence with an Eavesdropper
论文作者
论文摘要
我们研究了分布式的二进制假设检验（HT）问题，这些问题与交流和安全限制有关，涉及三方：一个名为Alice的遥控传感器，一个称为Bob的合法决策中心和一个称为EVE的窃听者，都有自己的源源观察。在这个系统中，爱丽丝向鲍勃传达了她对鲍勃的观察的率描述，鲍勃对他和爱丽丝观察的基础的联合分布进行了二元假设测试。爱丽丝和鲍勃的目的是在两个约束条件下最大化鲍勃的错觉（II型）概率的指数衰减：鲍勃的虚假警报概率（I型错误）概率必须保持在给定的阈值以下，而eve的不确定性（等效性）对于Alice的观察值仍应在给定的安全性触角中，即使在Eve Security Threshold中都可以在Alice的情况下保持Alice的消息。对于针对独立性测试的特殊情况，我们表征了所述I型误差概率和安全性约束的最大II类误差指数。
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 centre called Bob, and an eavesdropper called Eve, all having their own source observations. In this system, Alice conveys a rate R description of her observation 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 maximise the exponential decay of Bob's miss-detection (type II-error) probability under two constraints: Bob's false alarm-probability (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 characterise the largest possible type-II error exponent under the described type-I error probability and security constraints.
