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Decentralized Sequential Hypothesis Testing Using Asynchronous Communication

机译:使用异步通信的分散顺序假设检验

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摘要

An asymptotically optimum test for the problem of decentralized sequential hypothesis testing is presented. The induced communication between sensors and fusion center is asynchronous and limited to 1-bit data. When the sensors observe continuously stochastic processes with continuous paths, the proposed test is order-2 asymptotically optimal, in the sense that its inflicted performance loss is bounded. When the sensors take discrete time observations, the proposed test achieves order-1 asymptotic optimality, i.e., the ratio of its performance over the optimal performance tends to 1. Moreover, we show theoretically and corroborate with simulations that the performance of the suggested test in discrete time can be significantly improved when the sensors sample their underlying continuous time processes more frequently, a property which is not enjoyed by other centralized or decentralized tests in the literature.
机译:提出了一种针对分散顺序假设检验问题的渐近最优检验。传感器与融合中心之间的感应通信是异步的,并且仅限于1位数据。当传感器观察到具有连续路径的连续随机过程时,从其造成的性能损失受到限制的意义上来说,所提出的测试是2阶渐近最优的。当传感器进行离散时间观测时,所提出的测试达到1阶渐近最优性,即其性能与最优性能之比趋于1。此外,我们在理论上进行了证明并与仿真证实,所提出的测试的性能当传感器更频繁地采样其潜在的连续时间过程时,离散时间可以得到显着改善,这是文献中其他集中式或分散式测试无法享受的特性。

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