Abstract

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.

© 1997 Optical Society of America

Performance of an optimum receiver designed for pattern recognition with nonoverlapping target and scene noise

Bahram Javidi, Amir Fazlollahi, Peter Willett, and Philippe Réfrégier
Appl. Opt. 34(20) 3858-3868 (1995)

Minimum-error-probability receiver for detecting a noisy target in colored background noise

Amir H. Fazlollahi, Bahram Javidi, and Peter Willett
J. Opt. Soc. Am. A 14(4) 845-852 (1997)

Optimum receiver design for pattern recognition with nonoverlapping target and scene noise

Bahram Javidi, Philippe Refregier, and Peter Willett
Opt. Lett. 18(19) 1660-1662 (1993)

Optimum filter for detection of a target in nonoverlapping scene noise

Bahram Javidi and Jun Wang
Appl. Opt. 33(20) 4454-4458 (1994)

Design of filters to detect a noisy target in nonoverlapping background noise

Bahram Javidi and Jun Wang
J. Opt. Soc. Am. A 11(10) 2604-2612 (1994)