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Shannon用信息来度量系统的优劣是非常有效的。但是,目前的许多数理统计问题(例如统计假设的问题)还是不能直接应用他给出的一些公式。S.Kullback)提出的分辨函数(Discrimination)或译为信息变差的概念,就更适合于讨论和研究这些问题。本文着重于研究把信息变差概念用于信号检测系统的情况。文中首先建立二元检验信息变差的基本关系式。最后应用这些基本概念讨论检测系统,并从中得出一些有益的结论。
Shannon used the information to measure the pros and cons of the system is very effective. However, many of the current mathematical statistics (such as statistical assumptions) still can not directly apply some of the formulas he gives. S. Kuullback’s proposed concept of “Discrimination,” or “Translating into Information,” is more suitable for discussing and studying these issues. This article focuses on the use of the concept of information degradation for signal detection systems. First of all, this paper establishes the basic relationship between binary test information variation. Finally, we apply these basic concepts to discuss the detection system and draw some useful conclusions.