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Optical Review

, Volume 1, Issue 1, pp 15–16 | Cite as

Convolution and Filtering in Fractional Fourier Domains

  • Haldun M. OZAKTAS
  • Billur BARSHAN
  • David MENDLOVIC
INFORMATION OPTICS

Abstract

Fractional Fourier transforms, which are related to chirp and wavelet transforms, lead to the notion of fractional Fourier domains. The concept of filtering of signals in fractional domains is developed, revealing that under certain conditions one can improve upon the special cases of these operations in the conventional space and frequency domains. Because of the ease of performing the fractional Fourier transform optically, these operations are relevant for optical information processing.

Key words

optical information processing Fourier optics fractional Fourier transforms spatial filtering 

References

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    H.M. Ozaktas, B. Barshan, D. Mendlovic and L. Onural: to appear in J. Opt. Soc. Am. A.Google Scholar

Copyright information

© The Optical Society of Japan 1994

Authors and Affiliations

  • Haldun M. OZAKTAS
    • 1
  • Billur BARSHAN
    • 1
  • David MENDLOVIC
    • 2
  1. 1.Electrical Engineering DepartmentBilkent UniversityAnkaraTurkey
  2. 2.faculty of EngineeringTel-Aviv UniversityTel-AvivIsrael

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