OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 22, Iss. 14 — Jul. 15, 1997
  • pp: 1047–1049

Improved discrete fractional Fourier transform

Soo-Chang Pei and Min-Hung Yeh  »View Author Affiliations


Optics Letters, Vol. 22, Issue 14, pp. 1047-1049 (1997)
http://dx.doi.org/10.1364/OL.22.001047


View Full Text Article

Acrobat PDF (336 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The fractional Fourier transform is a useful mathematical operation that generalizes the well-known continuous Fourier transform. Several discrete fractional Fourier transforms (DFRFT’s) have been developed, but their results do not match those of the continuous case. We propose a new DFRFT. This improved DFRFT provides transforms similar to those of the continuous fractional Fourier transform and also retains the rotation properties.

© 1997 Optical Society of America

Citation
Soo-Chang Pei and Min-Hung Yeh, "Improved discrete fractional Fourier transform," Opt. Lett. 22, 1047-1049 (1997)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-22-14-1047


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. A. C. McBride and F. H. Kerr, IMA J. Appl. Math. 39, 159 (1987).
  2. R. G. Dorsch, A. W. Lohmann, Y. Bitran, and D. Mendlovic, Appl. Opt. 33, 7599 (1994).
  3. A. W. Lohmann, J. Opt. Soc. Am. A 10, 2181 (1993).
  4. D. Mendlovic, H. M. Ozaktas, and A. W. Lohmann, Appl. Opt. 34, 303 (1995).
  5. A. W. Lohmann and B. H. Soffer, J. Opt. Soc. Am. A 11, 1798 (1994).
  6. D. Mendlovic, Z. Zalevsky, A. W. Lohmann, and R. G. Dorsch, Opt. Commun. 126, 14 (1996).
  7. G. Sansone, Orthogonal Function, Vol. 9 of Pure and Applied Mathematics (Interscience, New York, 1959).
  8. B. W. Dickinson and K. Steiglitz, IEEE Trans. Acoust. Speech Signal Process ASSP-30, 25 (1982).
  9. C. C. Shih, Opt. Commun. 118, 495 (1995).
  10. B. Santhanam and J. H. McClellan, IEEE Trans. Signal Process. 42, 994 (1996).
  11. H. M. Ozaktas, O. Arikan, M. A. Kutay, and G. Bozdagi, IEEE Trans. Signal Process. 44, 2141 (1996).
  12. Z. T. Deng, H. J. Caulfield, and M. Schamschula, Opt. Lett. 21, 1430 (1996).
  13. H. M. Ozaktas, B. Barshan, D. Mendlovic, and L. Onural, J. Opt. Soc. Am. A 11, 547 (1994).
  14. J. H. McClellan and T. W. Parks, IEEE Trans. Audio Electroacoust. AU-20, 66 (1972).
  15. P. M. Morse and H. Feschbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), p. 1416.

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.


Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited