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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 32, Iss. 5 — Mar. 1, 2007
  • pp: 478–480

Randomization of the Fourier transform

Zhengjun Liu and Shutian Liu  »View Author Affiliations


Optics Letters, Vol. 32, Issue 5, pp. 478-480 (2007)
http://dx.doi.org/10.1364/OL.32.000478


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Abstract

We have investigated the multiplicity and complexity in eigenvalues of the fractional Fourier transform and found that the ambiguity of the eigenvalues may indicate randomness. We have therefore proposed a method to randomize the Fourier transform. Such a random Fourier transform can be applied in the field of image encryption and decryption.

© 2007 Optical Society of America

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(100.0100) Image processing : Image processing
(350.6980) Other areas of optics : Transforms

ToC Category:
Fourier Optics and Optical Signal Processing

History
Original Manuscript: October 12, 2006
Revised Manuscript: November 13, 2006
Manuscript Accepted: November 20, 2006
Published: February 2, 2007

Citation
Zhengjun Liu and Shutian Liu, "Randomization of the Fourier transform," Opt. Lett. 32, 478-480 (2007)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-32-5-478

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