B. Javidi et al., PERFORMANCE OF MINIMUM-MEAN-SQUARE-ERROR FILTERS FOR SPATIALLY NONOVERLAPPING TARGET AND INPUT-SCENE NOISE, Applied optics, 33(35), 1994, pp. 8197-8209
Using computer simulations, we investigate the performance of a minimu
m-mean-square-error filter for input-scene noise that is spatially non
overlapping (disjoint) with a target for a limited set of images. Diff
erent input-scene-noise statistics are used to test the filter perform
ance. We show that in the presence of spatially nonoverlapping target
and input-scene noise, the output of the minimum-mean-square-error fil
ter has a well-defined correlation peak, small sidelobes, and a high p
eak-to-correlation-energy ratio compared with other widely used filter
s such as the classical matched filter, the phase-only filter, and the
inverse filter. We also test the robustness of the minimum-mean-squar
e-error filter to errors in noise statistics used in the filter design
. We show that, for the images tested here, the performance of the min
imum-mean-square-error filter is not sensitive to errors in noise stat
istics and the filter can detect the target even if a considerable err
or exists. The discrimination capability and the illumination sensitiv
ity of the minimum-mean-square-error filter are also tested.