ERROR-PROBABILITY OF AN OPTIMUM RECEIVER DESIGNED FOR NONOVERLAPPING TARGET AND SCENE NOISE

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.