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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 36, Iss. 20 — Jul. 10, 1997
  • pp: 4816–4822

Nonlinearity optimization in nonlinear joint transform correlators

Leonid P. Yaroslavsky and Emanuel Marom  »View Author Affiliations


Applied Optics, Vol. 36, Issue 20, pp. 4816-4822 (1997)
http://dx.doi.org/10.1364/AO.36.004816


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Abstract

Three types of nonlinear transformations of the joint spectrum in nonlinear joint transform correlators (NLJTC’s) are investigated with the purpose of achieving the highest discrimination capability in target location in a cluttered background: logarithmic transformation and the (1/k)th law transformation in combination with the limitation of the signal dynamic range and binarization by thresholding. By computer simulation carried out on a set of test images, it is shown that application of these transformations in NLJTC’s may considerably improve the correlator’s capacity to locate and recognize properly small objects on a cluttered background, provided there is proper selection of nonlinearity parameters. It is also shown that a moderate blur of the joint spectrum in such NLJTC’s before nonlinear transformation is permissible, which simplifies the requirements of correlator optical alignment, the resolution power of correlator electronic components, or both.

© 1997 Optical Society of America

History
Original Manuscript: July 31, 1996
Revised Manuscript: January 30, 1997
Published: July 10, 1997

Citation
Leonid P. Yaroslavsky and Emanuel Marom, "Nonlinearity optimization in nonlinear joint transform correlators," Appl. Opt. 36, 4816-4822 (1997)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-36-20-4816


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References

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  14. The SNRM is sometimes called the peak-to-clutter ratio (see, for instance, Ref. 4).

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