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 priori knowledge of the noise and imaging system. The general results are applied to Poisson noise, signal dependent Gaussian noise, and binomial noise. © 1976, IEEE. All rights reserved.
D. R. Cunningham et al., "Detection In Image Dependent Noise," IEEE Transactions on Information Theory, vol. 22, no. 5, pp. 603 - 610, Institute of Electrical and Electronics Engineers, Jan 1976.
The definitive version is available at https://doi.org/10.1109/TIT.1976.1055591
Electrical and Computer Engineering
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01 Jan 1976