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Applied Optics

Applied Optics


  • Vol. 40, Iss. 5 — Feb. 10, 2001
  • pp: 662–671

Joint transform optical correlator designed and analyzed by use of two- and one-dimensional Hilbert transforms

Alastair D. McAulay  »View Author Affiliations

Applied Optics, Vol. 40, Issue 5, pp. 662-671 (2001)

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Novel real-time joint transform, Hilbert transform optical correlators are proposed in which only a half or a quarter of the Fourier plane is written onto an optically addressable spatial light modulator. A point source is used to recover the result for the whole plane. As a result, images with a two- or four-times larger space–bandwidth product can be matched in amplitude and phase. The effect of truncating the transform plane is explained with two- and one-dimensional Hilbert transform analysis. Results of computer simulation are shown.

© 2001 Optical Society of America

OCIS Codes
(070.1170) Fourier optics and signal processing : Analog optical signal processing
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.4550) Fourier optics and signal processing : Correlators
(070.5010) Fourier optics and signal processing : Pattern recognition
(100.1160) Image processing : Analog optical image processing
(100.4550) Image processing : Correlators
(100.5010) Image processing : Pattern recognition
(200.4740) Optics in computing : Optical processing

Original Manuscript: July 10, 2000
Revised Manuscript: October 20, 2000
Published: February 10, 2001

Alastair D. McAulay, "Joint transform optical correlator designed and analyzed by use of two- and one-dimensional Hilbert transforms," Appl. Opt. 40, 662-671 (2001)

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