Changes in the behavior of dynamic systems are detected based on changes in the monitored quantities or their characteristics. This detection usually takes place by monitoring the time evolution of a variable and detecting the change at the time when a predetermined threshold is exceeded. This threshold is determined on the basis of the detection scheme requirements, in particular, the probability of false alarms and the detection rate for the actual change. In some cases, however, a change does not come suddenly, but certain “hints” in the system behavior can be observed that may indicate a future change. For example, an increasing frequency of outliers can result in a sudden permanent change in the signal. The occurrence of some “unusual” frequencies often indicates an imminent change. For example, an increasing correlation value indicates an undesired process status. Detection of these “subliminal” hints can often improve the characteristics of the detection scheme, especially the detection rate for the actual change. In this paper, we will deal with the detection of weak signals in statistical process monitoring using a control chart with adaptive control limits.

中文翻译：

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SPC中的弱信号检测

动态系统行为的变化是基于监视量或其特征的变化来检测的。通常通过监视变量的时间演变并在超过预定阈值时检测变化来进行检测。该阈值是根据检测方案的要求确定的，尤其是根据错误警报的可能性和实际变化的检测率来确定。但是，在某些情况下，更改不会突然出现，但是可以观察到系统行为中的某些“提示”，这些提示可能表示将来的更改。例如，离群值频率的增加可能导致信号突然永久变化。某些“异常”频率的出现通常表明即将发生变化。例如，相关值的增加表示不希望的过程状态。检测这些“阈下”提示通常可以改善检测方案的特性，尤其是实际变化的检测率。在本文中，我们将使用具有自适应控制极限的控制图处理统计过程监视中的弱信号检测。