Repeated fractional fourier domain filtering is equivalent to repeated time and frequency domain filtering

Signal Processing

Volumn 54, Issue 1, 1996, Pages 81-84

  Ozaktas, Haldun M ^a  

^a BILKENT UNIVERSITY   (Turkey)

Author keywords

Fractional Fourier transforms; Time variant filtering

Indexed keywords

DIGITAL FILTERS; FOURIER TRANSFORMS; FREQUENCY DOMAIN ANALYSIS;

FRACTIONAL FOURIER DOMAIN FILTERING; FREQUENCY DOMAIN FILTERING;

SIGNAL FILTERING AND PREDICTION;

EID: 0030260572     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/0165-1684(96)00095-3     Document Type: Article

References (13)

1. L.B. Almeida, "The fractional Fourier transform and time-frequency representations", IEEE Trans. Signal Process., Vol. 42, 1994, pp. 3084-3091.
2. R.G. Dorsch, A.W. Lohmann, Y. Bitran, D. Mendlovic and H.M. Ozaktas, "Chirp filtering in the fractional Fourier domain", Appl. Opt., Vol. 33, 1994, pp. 7599-7602.
3. M.A. Kutay, H.M. Ozaktas, L. Onural and O. Arikan, "Optimal filtering in fractional Fourier domains", Proc. 1995 IEEE Internat. Conf. Acoust. Speech Signal Processing, Detroit, Michigan, May 1995, pp. 937-940.
4. M.A. Kutay, H.M. Ozaktas, O. Arikan and L. Onural, "Optimal filtering in fractional Fourier domains", IEEE Trans. Signal Process., Submitted.
5. A.W. Lohmann, "Image rotation, Wigner rotation and the fractional Fourier transform", J. Opt. Soc. Amer. A, Vol. 10, 1993, pp. 2181-2186.
6. A.C. McBride and F.H. Kerr, "On Namias's fractional Fourier transform", IMA J. Appl. Math., Vol. 39, 1987, pp. 159-175.
7. D. Mendlovic, H.M. Ozaktas and A.W. Lohmann, "Fractional correlation", Appl. Opt., Vol. 34, 1995, pp. 303-309.
8. H.M. Ozaktas and D. Mendlovic, "Fractional Fourier transformations and their optical implementation: Part II", J. Opt. Soc. Amer. A, Vol. 10, 1993, pp. 2522-2531.
9. H.M. Ozaktas, B. Barshan, D. Mendlovic and L. Onural, "Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms", J. Opt. Soc. Amer. A, Vol. 11, 1994, pp. 547-559.
10. H.M. Ozaktas, B. Barshan and D. Mendlovic, "Convolution and filtering in fractional Fourier domains", Opt. Rev., Vol. 1, 1994, pp. 15-16.
11. H.M. Ozaktas and D. Mendlovic, "Fractional Fourier optics", J. Opt. Soc. Amer. A, Vol. 12, 1995, pp. 743-51.
12. H.M. Ozaktas and O. Aytür, "Fractional Fourier domains", Signal Processing, Vol. 46, No. 1, September 1995, pp. 119-124.
13. H.M. Ozaktas, O. Arikan, M.A. Kutay and Gozde Bozdagi, "Digital computation of the fractional Fourier transform and the discrete fractional Fourier transform", IEEE Trans. Signal Process., 1996, To appear.