Abstract

A filter function is derived for input signals containing a target that is spatially disjoint (that is, nonoverlapping) with the input scene noise. The optimization metric is the ratio of the square of the expected value of the correlation peak to the expected value of the output signal energy. In this model the effects of the nonwhiteness of the scene noise, the nonstationarity of the scene noise that is due to the limited size of the input scene, the nonoverlapping of the target and the scene noise, and the unknown variations of the target illumination are considered. We show that, for the nonoverlapping target and the scene noise, the target window and the scene-noise window strongly influence the optimum filter function.

© 1994 Optical Society of America

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)

Performance of minimum-mean-square-error filters for spatially nonoverlapping target and input-scene noise

Bahram Javidi, Guanshen Zhang, Farokh Parchekani, and Philippe Refregier
Appl. Opt. 33(35) 8197-8209 (1994)

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)

Optimum distortion-invariant filter for detecting a noisy distorted target in nonoverlapping background noise

Bahram Javidi and Jun Wang
J. Opt. Soc. Am. A 12(12) 2604-2614 (1995)

Error probability of an optimum receiver designed for nonoverlapping target and scene noise

Amir H. Fazlollahi and Bahram Javidi
J. Opt. Soc. Am. A 14(5) 1024-1032 (1997)