When a point target is embedded in a clutter background, the probability of detection depends on the detection threshold as well as the clutter statistics. Detection thresholds are calculated for gamma, inverse-Gaussian, Weibull and log-normal clutter models with known clutter statistics. These thresholds are useful for calculating an approximate probability of detection and for comparing system performance with different clutter models.
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E.L. Johansen (1984) studied this question.
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