The asymptotic performance of a multiterminal detection system comprising a central detector and two remote sensors that have access to discrete, spatially dependent, and temporally memoryless observations is discussed. It is assumed that prior to transmitting information to the central detector, each sensor compresses its observations at a rate which approaches zero as the sample size tends to infinity, and that, on the basis of the compressed data from both sensors, the central detector seeks to determine whether the true distribution of the observations belongs to a null class II or an alternative class Xi . Under the criterion that stipulates minimization of the type-II error rate subject to an upper bound epsilon on the type-I error rate, it is shown that, in the case of simple distribution classes ( mod Pi mod = mod Xi mod =1), the error exponent achievable by such a system has a simple characterization, is independent of the value of epsilon , and is insensitive to changes in compression rate as long as the asymptotic rate on one of the sensors is zero.
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机译：讨论了一个多终端检测系统的渐近性能，该系统包括一个中央检测器和两个可以访问离散的，空间相关的和时间上无记忆的观测值的远程传感器。假设在将信息传输到中央检测器之前，每个传感器都以接近零的速率压缩其观测值，因为样本量趋于无穷大，并且基于来自两个传感器的压缩数据，中央检测器会寻找确定观测值的真实分布属于零类II还是替代类Xi。在规定I型错误率的上限为ε的情况下，将II型错误率最小化的标准表明，在简单分布类别的情况下（mod Pi mod = mod Xi mod = 1） ，通过这样的系统可获得的误差指数具有简单的特征，与ε的值无关，并且只要传感器之一上的渐近率是零，就对压缩率的变化不敏感。
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