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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 5, Iss. 4 — Apr. 1, 1988
  • pp: 562–571

Generalized synthetic discriminant functions

Z. Bahri and B. V. K. Vijaya Kumar  »View Author Affiliations


JOSA A, Vol. 5, Issue 4, pp. 562-571 (1988)
http://dx.doi.org/10.1364/JOSAA.5.000562


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Abstract

A generalization of the conventional synthetic discriminant function (SDF) solution in both spatial and frequency domains is provided. It is based on the concept of the generalized inverse. The results of this generalization are shown to specialize to previous work (namely, the minimum-output-variance SDF). A link is established between the quantities characterizing the spatial-domain SDF solutions and the frequency-domain ones through the pseudo-discrete Fourier-transform operation. Several properties of the various relevant matrices are presented to provide a general framework for characterizing SDF solutions. To help to illustrate the advantages of the generalized SDF solution method, two examples of SDF’s (a phase-only and a two-level SDF) are investigated.

© 1988 Optical Society of America

History
Original Manuscript: March 23, 1987
Manuscript Accepted: December 1, 1987
Published: April 1, 1988

Citation
Z. Bahri and B. V. K. Vijaya Kumar, "Generalized synthetic discriminant functions," J. Opt. Soc. Am. A 5, 562-571 (1988)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-5-4-562


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