Ah. Fazlollahi et B. Javidi, ERROR-PROBABILITY OF AN OPTIMUM RECEIVER DESIGNED FOR NONOVERLAPPING TARGET AND SCENE NOISE, Journal of the Optical Society of America. A, Optics, image science,and vision., 14(5), 1997, pp. 1024-1032
An optimum receiver is designed based on multiple-alternative hypothes
is testing with unknown parameters for detecting and locating a noisy
or a noise-free target in scene noise. For a noise-free target with un
known parameters, the optimum receiver solution can be described by us
ing operations that are independent of the scene noise statistics. Sin
ce, in practice, it is not possible to have a completely noise-free ta
rget, we examine how the performance of the optimum receiver designed
for a noise-free target is affected, in terms of error probability, wh
en there is some additive overlapping noise on the target. We determin
e the false-alarm and miss error probabilities of the optimum receiver
for this case. The error probability of the optimum receiver will be
compared with that of the matched filter. (C) 1997 Optical Society of
America.