A Sequential Test for the Presence of a Signal in One of k Possible Positions.

by I. S. Reed, Ivan Selin

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Results of the design and evaluation of a sequential radar to detect the presence and to estimate the range of a target. A simple sequential test is considered for the presence of a signal known except for one parameter i. This parameter may assume only one of k discrete values, k less than infinity. The distribution of the true parameter value is assumed to be uniform over the parameter space. The test is shown to be almost a maximum likelihood test. The paper also indicates how to set the test parameters to achieve desired conditional error probabilities. An approximate expression is then obtained for the distribution of the test termination time.

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