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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.

This report is part of the RAND Corporation Report series. The report was a product of the RAND Corporation from 1948 to 1993 that represented the principal publication documenting and transmitting RAND's major research findings and final research.

The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.