B. Javidi et J. Wang, DESIGN OF FILTERS TO DETECT A NOISY TARGET IN NONOVERLAPPING BACKGROUND-NOISE, Journal of the Optical Society of America. A, Optics, image science,and vision., 11(10), 1994, pp. 2604-2612
Two types of filter are proposed to detect a noisy target embedded in
nonoverlapping background noise by optimization of two proposed criter
ia that are used in the assessment of filter design and performance. C
riterion 1 is defined as the ratio of the square of the expected value
of the correlation-peak amplitude to the expected value of the output
-signal energy. Criterion 2 is defined as the ratio of the square of t
he expected value of the correlation-peak amplitude to the average out
put-signal variance. It is shown that, for the nonoverlapping target a
nd scene noise models, the target window and the scene noise window af
fect the filter functions significantly. Computer-simulation tests of
the generalized optimum filter for various kinds of noisy input image
are provided to investigate filter performance in terms of peak-to-out
put-energy ratio, discrimination against undesired objects, and tolera
nce to target distortion (for example, target rotation and scaling). W
e compare the results with those of other filters to verify the perfor
mance of the optimum filters.