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H. M. Ozaktas, B. Barshan, D. Mendlovic, L. Onural, “Convolution, filtering and multiplexing in fractional Fourier domain and their relation to chirp and wavelet transform,” J. Opt. Soc. Am. A 11, 547–559 (1994).

[CrossRef]

L. B. Almeida, “The fractional Fourier transform and time-frequency representations,” IEEE Trans. Signal Process. 42, 3084–3091 (1994).

[CrossRef]

L. M. Bernardo, O. D. D. Soares, “Fractional Fourier transforms and optical systems,” Opt. Commun. 110, 517–522 (1994).

[CrossRef]

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[CrossRef]
[PubMed]

D. Mendlovic, H. Ozaktas, A. W. Lohmann, “Graded index fibers, Wigner distribution functions and the fractional Fourier transform,” Appl. Opt. 33, 6188–6193 (1994).

[CrossRef]
[PubMed]

D. Mendlovic, H. M. Ozaktas, A. W. Lohmann, “Fractional correlation,” Appl. Opt. 34, 303–309 (1994).

[CrossRef]

D. Mendlovic, H. M. Ozaktas, “Fractional Fourier transformations and their optical implementation: Part I,” J. Opt. Soc. Am. A 10, 1875–1881 (1993).

[CrossRef]

A. W. Lohmann, “Image rotation, Wigner rotation and the fractional Fourier transform,” J. Opt. Soc. Am. A 10, 2181– 2186 (1993).

[CrossRef]

H. M. Ozaktas, D. Mendlovic, “Fractional Fourier transformations and their optical implementation: Part II,” J. Opt. Soc. Am. A 10, 2522–2531 (1993).

[CrossRef]

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[CrossRef]

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[CrossRef]
[PubMed]

L. B. Almeida, “The fractional Fourier transform and time-frequency representations,” IEEE Trans. Signal Process. 42, 3084–3091 (1994).

[CrossRef]

L. B. Almeida, An Introduction to the Angular Fourier Transform (IEEE, Minneapolis, 1993).

L. M. Bernardo, O. D. D. Soares, “Fractional Fourier transforms and optical systems,” Opt. Commun. 110, 517–522 (1994).

[CrossRef]

Y. Bitran, Z. Zalevsky, D. Mendlovic, R. G. Dorsch, “Performance analysis of the fractional correlation operation,” Appl. Opt. 35, 297–303 (1996).

[CrossRef]
[PubMed]

D. Mendlovic, Y. Bitran, R. G. Dorsch, C. Ferreira, J. Garćia, H. M. Ozaktas, “Anamorphic fractional Fourier transforming—optical implementation and applications,” Appl. Opt. (to be published).

E. U. Condon, “Immersion of the Fourier transform in a continuous group of functional transformations,” Proc. Natl. Acad. Sci. USA 23, 158–164 (1937).

[CrossRef]
[PubMed]

J. Garcia, R. Dorsch, A. W. Lohmann, C. Ferreira, Z. Zalevsky, “Adjustable fractional Fourier correlator and fractional spatial filtering,” Opt. Commun. (to be published).

Y. Bitran, Z. Zalevsky, D. Mendlovic, R. G. Dorsch, “Performance analysis of the fractional correlation operation,” Appl. Opt. 35, 297–303 (1996).

[CrossRef]
[PubMed]

D. Mendlovic, Y. Bitran, R. G. Dorsch, C. Ferreira, J. Garćia, H. M. Ozaktas, “Anamorphic fractional Fourier transforming—optical implementation and applications,” Appl. Opt. (to be published).

D. Mendlovic, Z. Zalevsky, A. W. Lohmann, R. G. Dorsch, “Localized fractional Fourier transform,” Opt. Commun. (to be published).

D. Mendlovic, Y. Bitran, R. G. Dorsch, C. Ferreira, J. Garćia, H. M. Ozaktas, “Anamorphic fractional Fourier transforming—optical implementation and applications,” Appl. Opt. (to be published).

J. Garcia, R. Dorsch, A. W. Lohmann, C. Ferreira, Z. Zalevsky, “Adjustable fractional Fourier correlator and fractional spatial filtering,” Opt. Commun. (to be published).

J. Garcia, R. Dorsch, A. W. Lohmann, C. Ferreira, Z. Zalevsky, “Adjustable fractional Fourier correlator and fractional spatial filtering,” Opt. Commun. (to be published).

D. Mendlovic, Y. Bitran, R. G. Dorsch, C. Ferreira, J. Garćia, H. M. Ozaktas, “Anamorphic fractional Fourier transforming—optical implementation and applications,” Appl. Opt. (to be published).

D. Mendlovic, H. Ozaktas, A. W. Lohmann, “Graded index fibers, Wigner distribution functions and the fractional Fourier transform,” Appl. Opt. 33, 6188–6193 (1994).

[CrossRef]
[PubMed]

D. Mendlovic, H. M. Ozaktas, A. W. Lohmann, “Fractional correlation,” Appl. Opt. 34, 303–309 (1994).

[CrossRef]

A. W. Lohmann, “Image rotation, Wigner rotation and the fractional Fourier transform,” J. Opt. Soc. Am. A 10, 2181– 2186 (1993).

[CrossRef]

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[CrossRef]
[PubMed]

D. Mendlovic, Z. Zalevsky, A. W. Lohmann, R. G. Dorsch, “Localized fractional Fourier transform,” Opt. Commun. (to be published).

J. Garcia, R. Dorsch, A. W. Lohmann, C. Ferreira, Z. Zalevsky, “Adjustable fractional Fourier correlator and fractional spatial filtering,” Opt. Commun. (to be published).

Y. Bitran, Z. Zalevsky, D. Mendlovic, R. G. Dorsch, “Performance analysis of the fractional correlation operation,” Appl. Opt. 35, 297–303 (1996).

[CrossRef]
[PubMed]

A. Sahin, H. M. Osaktas, D. Mendlovic, “Optical implementation of the two-dimensional fractional Fourier transform with different orders in two dimensions,” J. Opt. Soc. Am. A 120, 134–138 (1995).

D. Mendlovic, H. M. Ozaktas, A. W. Lohmann, “Fractional correlation,” Appl. Opt. 34, 303–309 (1994).

[CrossRef]

H. M. Ozaktas, B. Barshan, D. Mendlovic, L. Onural, “Convolution, filtering and multiplexing in fractional Fourier domain and their relation to chirp and wavelet transform,” J. Opt. Soc. Am. A 11, 547–559 (1994).

[CrossRef]

D. Mendlovic, H. Ozaktas, A. W. Lohmann, “Graded index fibers, Wigner distribution functions and the fractional Fourier transform,” Appl. Opt. 33, 6188–6193 (1994).

[CrossRef]
[PubMed]

H. M. Ozaktas, D. Mendlovic, “Fractional Fourier transformations and their optical implementation: Part II,” J. Opt. Soc. Am. A 10, 2522–2531 (1993).

[CrossRef]

D. Mendlovic, H. M. Ozaktas, “Fractional Fourier transformations and their optical implementation: Part I,” J. Opt. Soc. Am. A 10, 1875–1881 (1993).

[CrossRef]

D. Mendlovic, N. Konforti, E. Marom, “Shift and projection invariant pattern recognition using logarithmic harmonics,” Appl. Opt. 29, 4784–4789 (1990).

[CrossRef]
[PubMed]

D. Mendlovic, Y. Bitran, R. G. Dorsch, C. Ferreira, J. Garćia, H. M. Ozaktas, “Anamorphic fractional Fourier transforming—optical implementation and applications,” Appl. Opt. (to be published).

D. Mendlovic, Z. Zalevsky, A. W. Lohmann, R. G. Dorsch, “Localized fractional Fourier transform,” Opt. Commun. (to be published).

A. Sahin, H. M. Osaktas, D. Mendlovic, “Optical implementation of the two-dimensional fractional Fourier transform with different orders in two dimensions,” J. Opt. Soc. Am. A 120, 134–138 (1995).

D. Mendlovic, H. M. Ozaktas, A. W. Lohmann, “Fractional correlation,” Appl. Opt. 34, 303–309 (1994).

[CrossRef]

H. M. Ozaktas, B. Barshan, D. Mendlovic, L. Onural, “Convolution, filtering and multiplexing in fractional Fourier domain and their relation to chirp and wavelet transform,” J. Opt. Soc. Am. A 11, 547–559 (1994).

[CrossRef]

D. Mendlovic, H. M. Ozaktas, “Fractional Fourier transformations and their optical implementation: Part I,” J. Opt. Soc. Am. A 10, 1875–1881 (1993).

[CrossRef]

H. M. Ozaktas, D. Mendlovic, “Fractional Fourier transformations and their optical implementation: Part II,” J. Opt. Soc. Am. A 10, 2522–2531 (1993).

[CrossRef]

D. Mendlovic, Y. Bitran, R. G. Dorsch, C. Ferreira, J. Garćia, H. M. Ozaktas, “Anamorphic fractional Fourier transforming—optical implementation and applications,” Appl. Opt. (to be published).

A. Sahin, H. M. Osaktas, D. Mendlovic, “Optical implementation of the two-dimensional fractional Fourier transform with different orders in two dimensions,” J. Opt. Soc. Am. A 120, 134–138 (1995).

L. M. Bernardo, O. D. D. Soares, “Fractional Fourier transforms and optical systems,” Opt. Commun. 110, 517–522 (1994).

[CrossRef]

A. VanderLugt, “Signal detection by complex spatial filtering,” IEEE Trans. Inf. Theory IT-10, 139–146 (1964).

[CrossRef]

Y. Bitran, Z. Zalevsky, D. Mendlovic, R. G. Dorsch, “Performance analysis of the fractional correlation operation,” Appl. Opt. 35, 297–303 (1996).

[CrossRef]
[PubMed]

J. Garcia, R. Dorsch, A. W. Lohmann, C. Ferreira, Z. Zalevsky, “Adjustable fractional Fourier correlator and fractional spatial filtering,” Opt. Commun. (to be published).

D. Mendlovic, Z. Zalevsky, A. W. Lohmann, R. G. Dorsch, “Localized fractional Fourier transform,” Opt. Commun. (to be published).

A. W. Lohmann, D. P. Paris, “Binary Fraunhofer holograms, generated by computer,” Appl. Opt. 6, 1739–1748 (1967).

[CrossRef]
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[CrossRef]
[PubMed]

D. Mendlovic, N. Konforti, E. Marom, “Shift and projection invariant pattern recognition using logarithmic harmonics,” Appl. Opt. 29, 4784–4789 (1990).

[CrossRef]
[PubMed]

D. Mendlovic, H. Ozaktas, A. W. Lohmann, “Graded index fibers, Wigner distribution functions and the fractional Fourier transform,” Appl. Opt. 33, 6188–6193 (1994).

[CrossRef]
[PubMed]

D. Mendlovic, H. M. Ozaktas, A. W. Lohmann, “Fractional correlation,” Appl. Opt. 34, 303–309 (1994).

[CrossRef]

Y. Bitran, Z. Zalevsky, D. Mendlovic, R. G. Dorsch, “Performance analysis of the fractional correlation operation,” Appl. Opt. 35, 297–303 (1996).

[CrossRef]
[PubMed]

J. A. Davis, D. M. Cottrell, N. Nestorovic, S. M. Highnote, “Space-variant Fresnel transform optical correlator,” Appl. Opt. 31, 6889–6893 (1992).

[CrossRef]
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[CrossRef]

A. VanderLugt, “Signal detection by complex spatial filtering,” IEEE Trans. Inf. Theory IT-10, 139–146 (1964).

[CrossRef]

L. B. Almeida, “The fractional Fourier transform and time-frequency representations,” IEEE Trans. Signal Process. 42, 3084–3091 (1994).

[CrossRef]

A. Sahin, H. M. Osaktas, D. Mendlovic, “Optical implementation of the two-dimensional fractional Fourier transform with different orders in two dimensions,” J. Opt. Soc. Am. A 120, 134–138 (1995).

H. M. Ozaktas, B. Barshan, D. Mendlovic, L. Onural, “Convolution, filtering and multiplexing in fractional Fourier domain and their relation to chirp and wavelet transform,” J. Opt. Soc. Am. A 11, 547–559 (1994).

[CrossRef]

D. Mendlovic, H. M. Ozaktas, “Fractional Fourier transformations and their optical implementation: Part I,” J. Opt. Soc. Am. A 10, 1875–1881 (1993).

[CrossRef]

A. W. Lohmann, “Image rotation, Wigner rotation and the fractional Fourier transform,” J. Opt. Soc. Am. A 10, 2181– 2186 (1993).

[CrossRef]

H. M. Ozaktas, D. Mendlovic, “Fractional Fourier transformations and their optical implementation: Part II,” J. Opt. Soc. Am. A 10, 2522–2531 (1993).

[CrossRef]

L. M. Bernardo, O. D. D. Soares, “Fractional Fourier transforms and optical systems,” Opt. Commun. 110, 517–522 (1994).

[CrossRef]

E. U. Condon, “Immersion of the Fourier transform in a continuous group of functional transformations,” Proc. Natl. Acad. Sci. USA 23, 158–164 (1937).

[CrossRef]
[PubMed]

L. B. Almeida, An Introduction to the Angular Fourier Transform (IEEE, Minneapolis, 1993).

D. Mendlovic, Y. Bitran, R. G. Dorsch, C. Ferreira, J. Garćia, H. M. Ozaktas, “Anamorphic fractional Fourier transforming—optical implementation and applications,” Appl. Opt. (to be published).

J. Garcia, R. Dorsch, A. W. Lohmann, C. Ferreira, Z. Zalevsky, “Adjustable fractional Fourier correlator and fractional spatial filtering,” Opt. Commun. (to be published).

D. Mendlovic, Z. Zalevsky, A. W. Lohmann, R. G. Dorsch, “Localized fractional Fourier transform,” Opt. Commun. (to be published).