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Modern radio astronomy is a field that works with large volumes of data and high-rate data streams. As in other fields, not all radio astronomical data contains scientifically useful information due to omnipresent noise and interference signals. The problem of detecting a signal in noise has been closely investigated in the context of radar and sonar signal processing. The solution to this problem led to the development of the classical theory of optimal detection. This theory provides a clear framework for designing detectors capable of achieving the minimum possible detection threshold, thus enabling useful information to be gathered from the data stream in the most efficient way. Despite these advances, however, this theory has received little attention in radio astronomy and related fields. This talk will cover the main aspects of the classical theory of optimal detection and highlight its potential applications in radio astronomy and other fields.