论文标题

分布式假设检验的利率共享的好处

Benefits of Rate-Sharing for Distributed Hypothesis Testing

论文作者

Hamad, Mustapha, Sarkiss, Mireille, Wigger, Michèle

论文摘要

我们使用单个传感器和两个配备本地传感器的远程决策中心研究分布的二元假设测试。传感器和两个决策中心之间的通信发生在三个链接上:与两个中心的共享链接以及两个中心中每个中心的链接。所有通信链接都受预期的利率约束。本文表征了两个决策中心的给定I误差阈值的II型误差的最佳指数区域,并进一步简化了只有单个共享链接的特殊情况中的表达式。指数区域说明了预期利率限制下的增益,而同等的最大利率约束。此外,它在两个中心实现的指数之间表现出了权衡。

We study distributed binary hypothesis testing with a single sensor and two remote decision centers that are also equipped with local sensors. The communication between the sensor and the two decision centers takes place over three links: a shared link to both centers and an individual link to each of the two centers. All communication links are subject to expected rate constraints. This paper characterizes the optimal exponents region of the type-II error for given type-I error thresholds at the two decision centers and further simplifies the expressions in the special case of having only the single shared link. The exponents region illustrates a gain under expected rate constraints compared to equivalent maximum rate constraints. Moreover, it exhibits a tradeoff between the exponents achieved at the two centers.

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