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Detection in image dependent noise (Corresp.)

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3 Author(s)

The detection of two-dimensional optical signals which have been corrupted by noise is considered. Discussion is limited to the detection of a known object in a known location. The problem is approached from the classical statistical technique of hypothesis testing. Initially the solution is formulated in very general terms. The decision rule is derived for a signal distorted by noise of an unspecified type which may include signal dependent noise. Once the decision rule is obtained, the probabilities of false alarm and detection are evaluated from a {\sl a priori} knowledge of the noise and imaging system. The general results are applied to Poisson noise, signal dependent Gaussian noise, and binomial noise.

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IEEE Transactions on Information Theory  (Volume:22 ,  Issue: 5 )