B. Javidi et J. Wang, OPTIMUM DISTORTION-INVARIANT FILTER FOR DETECTING A NOISY DISTORTED TARGET IN NONOVERLAPPING BACKGROUND-NOISE, Journal of the Optical Society of America. A, Optics, image science,and vision., 12(12), 1995, pp. 2604-2614
An optimal distortion-invariant filter for detecting a distorted targe
t in input noise is designed. The input noise consists of two kinds of
noise, overlapping additive noise and nonoverlapping background noise
. We obtain the filter function by statistically maximizing the peak-t
o-output-energy ratio criterion, which is defined as the ratio of the
square of the expected value of the output signal at the target locati
on to the expected value of the average output energy. This results in
a filter output with a well-defined output peak at the target locatio
n and a low output-noise floor. This filter is designed to take into a
ccount the effects of both overlapping additive noise and nonoverlappi
ng background noise, the finite size of the input data, and the target
distortion. The special cases of detecting a distorted target in nono
verlapping background noise and detecting a distorted target in overla
pping additive noise are discussed. Computer simulation results are pr
ovided to show the performance of the filter. (C) 1995 Optical Society
of America