Computer simulation results for a Hilbert transform optical correlator

Alastair D. McAulay

doi:10.1117/12.405861

2 November 2000 Computer simulation results for a Hilbert transform optical correlator

Alastair D. McAulay

Proceedings Volume 4113, Algorithms and Systems for Optical Information Processing IV; (2000) https://doi.org/10.1117/12.405861
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

Abstract

A previously proposed Hilbert transformoptical correlator modified th einut nd filtr images by adding an x-y mirror image t provide a real Fourie tnform. In an improved corrlator we cimpute the intnsity o the fourier trnsform so that filters are guarant4ed psoitiv end ral.The cente peak of the ouptu intnsity is shown to approximate the autoconvolutionof the convolution between the originalimags.The applcain of a Hilbert tranformallows only half of th eforuier plane to be used.This cn be used to speed the correltor by two or to perit an incrase in space-bandwidth product ofinput imgs by two. Result sof cmpute simulatin are shown.

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Alastair D. McAulay "Computer simulation results for a Hilbert transform optical correlator", Proc. SPIE 4113, Algorithms and Systems for Optical Information Processing IV, (2 November 2000); https://doi.org/10.1117/12.405861

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KEYWORDS

Fourier transforms

Optical correlators

Image filtering

Convolution

Optical filters

Computer simulations

Mirrors

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