OSA's Digital Library

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


View Full Text Article

Enhanced HTML    Acrobat PDF (135 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

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


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, 2000).
  2. C. C. Shih, Opt. Commun. 118, 495 (1995). [CrossRef]
  3. S. Liu, J. Zhang, and Y. Zhang, Opt. Commun. 133, 50 (1997). [CrossRef]
  4. B. Zhu, S. Liu, and Q. Ran, Opt. Lett. 25, 1159 (2000). [CrossRef]
  5. S. C. Pei and W. L. Hsue, IEEE Signal Process. Lett. 13, 329 (2006). [CrossRef]
  6. C. C. Shih, Opt. Lett. 20, 1178 (1995). [CrossRef] [PubMed]
  7. G. Cariolaro, T. Erseghe, P. Kraniauskas, and N. Laurenti, IEEE Trans. Signal Process. 48, 227 (2000). [CrossRef]
  8. A. W. Lohmann, D. Mendlovic, Z. Zalevsky, and R. G. Dorsch, Opt. Commun. 125, 18 (1996). [CrossRef]
  9. S. Li and Y. Wang, Inf. Sci. (N.Y.) 177, 192 (2007).
  10. M. S. Baptista, S. Boccaletti, K. Josic, and I. Leyva, Phys. Rev. E 69, 056228 (2004). [CrossRef]
  11. S. C. Pei and M. H. Yeh, Opt. Lett. 22, 1047 (1997). [CrossRef] [PubMed]
  12. C. Candan, M. A. Kutay, and H. M. Ozaktas, IEEE Signal Process. Lett. 48, 1329 (2000). [CrossRef]
  13. Z. Liu, H. Zhao, and S. Liu, Opt. Commun. 255, 357 (2005). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited