A discussion of a theory to cover testing for the presence of a desired random process (signal) in the presence of an undesirable process (noise). The theory is an adaptation of the statistical theory of hypothisis testing to such problems as arise in radar, communication, and control engineering. The Report demonstrates a canonical class of engineering problems to the mathematician while presenting a unified statistical theory to the engineer. It attempts to provide an overview of the field of signal detection through a selection of topics and computational material; it is directed to engineers, mathematicians, statisticians, and physicists interested in the promblems and methods as well as in the results of detection theory.
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