Error probability of an optimum receiver designed for nonoverlapping target and scene noise
Amir H. Fazlollahi, Bahram Javidi · Journal of the Optical Society of America A · 1997
An optimum receiver is designed based on multiple-alternative hypothesis testing with unknown parameters for detecting and locating a noisy or a noise-free target in scene noise. For a noise-free target with unknown parameters, the optimum receiver solution can be described by using operations that are independent of the scene noise statistics. Since, in practice, it is not possible to have a completely noise-free target, we examine how the performance of the optimum receiver designed for a noise-free target is affected, in terms of error probability, when there is some additive overlapping noise on the target. We determine 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.