DESIGN OF FILTERS TO DETECT A NOISY TARGET IN NONOVERLAPPING BACKGROUND-NOISE

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.