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ALGEBRAIC THEORY OF THE DEPENDABILITY OF BINARY SENSORS

机译：二元传感器可依性的代数理论

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摘要

Binary sensor systems are analog sensors of various types (optical, microelectromechanical (MEMS) systems, X-ray, gramma-ray, acoustic, electronic, etc.) based on the binary decision process. Typical examples of such "binary sensors" are X-ray luggage inspection systems, product quality control systems, automatic target recognition systems, numerous medical diagnostic systems, and many others. In all these systems, the binary decision process provides only two mutually exclusive responses. There are also two types of key parameters that characterize either a system or external conditions in relation to the system that are determined by their prior probabilities. In this paper, by using a formal neuron model, we analyze the problem of threshold redundancy of binary sensors of a critical state. The following three major tasks are solved: (ⅰ) implementation of the algorithm of calculation of error probabilities for threshold redundancy of a group of sensors; (ⅱ) computation of the minimal upper bound for the probability in a closed analytical form and determination of its link with Claude Shannons theorem; (ⅲ) derivation of the expression (estimate) for sensor "weights" when the probability of the binary system error does not exceed the specified minimal upper bound.
机译：二进制传感器系统是基于二进制决策过程的各种类型的模拟传感器（光学，微机电（MEMS）系统，X射线，语法射线，声学，电子等）。这种“二进制传感器”的典型示例是X射线行李检查系统，产品质量控制系统，自动目标识别系统，众多医疗诊断系统以及许多其他系统。在所有这些系统中，二进制决策过程仅提供两个互斥的响应。还存在两种类型的关键参数，它们描述了系统或与系统有关的外部条件，这些参数由其先验概率确定。在本文中，通过使用形式神经元模型，我们分析了临界状态的二进制传感器的阈值冗余问题。解决了以下三个主要任务：（ⅰ）实现一组传感器阈值冗余的错误概率计算算法； （ⅱ）以封闭分析形式计算概率的最小上限，并确定其与克劳德·香农定理的联系； （ⅲ）当二进制系统错误的概率不超过指定的最小上限时，导出传感器“权重”的表达式（估计）。

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