Now showing items 1-8 of 8

    • Chirp filtering in the fractional Fourier domain 

      Dorsch, R. G.; Lohmann, A. W.; Bitran, Y.; Mendlovic, D.; Ozaktas, H. M. (Optical Society of America, 1994-11-10)
      In the Wigner domain of a one-dimensional function, a certain chirp term represents a rotated line delta function. On the other hand, a fractional Fourier transform (FRT) can be associated with a rotation of the ...
    • Convolution and filtering in fractional fourier domains 

      Ozaktas, H. M.; Barshan, B.; Mendlovic, D. (Springer-Verlag, 1994)
      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 ...
    • Fractional correlation 

      Mendlovic, D.; Ozaktas, H. M.; Lohmann, A. W. (Optical Society of America, 1995)
      Recently, optical interpretations of the fractional-Fourier-transform operator have been introduced. On the basis of this operator the fractional correlation operator is defined in two different ways that are both consistent ...
    • The fractional fourier transform and its applications to image representation and beamforming 

      Yetik, I. S.; Kutay, M. A.; Özaktaş, Haldun. M. (2003)
      The ath order fractional Fourier transform operator is the ath power of the ordinary Fourier transform operator. We provide a brief introduction to the fractional Fourier transform, discuss some of its more important ...
    • Fractional Fourier transform as a tool for analyzing beam propagation and spherical mirror resonators 

      Ozaktas, H. M.; Mendlovic, D. (Optical Society of America, 1994)
      The complex amplitude distributions on two spherical reference surfaces of given curvature and spacing are simply related by a fractional Fourier transform. The order of the fractional Fourier transform is proportional to ...
    • Fractional Fourier transform: simulations and experimental results 

      Bitran, Y.; Mendlovic, D.; Dorsch, R. G.; Lohmann, A. W.; Ozaktas, H. M. (Optical Society of America, 1995)
      Recently two optical interpretations of the fractional Fourier transform operator were introduced. We address implementation issues of the fractional-Fourier-transform operation. We show that the original bulk-optics ...
    • Graded-index fibers, Wigner-distribution functions, and the fractional Fourier transform 

      Mendlovic, D.; Ozaktas, H. M.; Lohmann, A. W. (Optical Society of America, 1994)
      Two definitions of a fractional Fourier transform have been proposed previously. One is based on the propagation of a wave field through a graded-index medium, and the other is based on rotating a function's Wigner ...
    • Self Fourier functions and fractional Fourier transforms 

      Mendlovic, D.; Ozaktas, H. M.; Lohmann, A. W. (Elsevier, 1994)
      Self Fourier functions and fractional Fourier transforms are two concepts that have been discussed recently. Investigated is the combination of these two concepts: self fractional Fourier functions and the fractional Fourier ...