Continuous & discrete fractional Fourier domain decomposition

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

Volumn 1, Issue , 2000, Pages 93-96

  Yetik, I Şamil ^a   Kutay, M A ^b   Özaktaş, Hakan ^c   Ozaktas, Haldun M ^a  

^a BILKENT UNIVERSITY   (Turkey)

^b Drexel University   (United States)

^c EASTERN MEDITERRANEAN UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

DOMAIN DECOMPOSITION METHODS; LINEAR SYSTEMS; SINGULAR VALUE DECOMPOSITION; ALGORITHMS; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; MATRIX ALGEBRA; PROBABILITY DISTRIBUTIONS; SPECTRUM ANALYSIS;

DISCRETE SIGNAL; FAST IMPLEMENTATION; FRACTIONAL FOURIER DOMAINS; SPACE VARIANTS;

SIGNAL PROCESSING;

FRACTIONAL FOURIER DOMAIN DECOMPOSITION; SINGULAR VALUE DECOMPOSITION; SPACE VARIANT SYSTEMS;

EID: 0033677070     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICASSP.2000.861872     Document Type: Conference Paper

References (10)

1. H. M. Ozaktas, M. A. Kutay and D. Mendlovic, "Introduction to the fractional Fourier transform and its applications", in: P. W. Hawkes, ed., Advances in Imaging and Electron Physics 106, Academic Press, San Diego, California, 1999, pp. 239-291.
2. 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. Am. A vol. 11, 1994, pp. 547-559.
3. L. B. Almeida, "The fractional Fourier transform and time-frequency representations", IEEE Trans. Sig. Proc. vol. 42, 1994, pp. 3084-3092.
4. C. Candan, M. A. Kutay, H. M. Ozaktas "The Discrete Fractional Fourier Transform" to appear in IEEE Trans. Sig. Proc., 2000.
5. S. C. Pei and M. H. Yeh, "Improved discrete fractional Fourier transform", Opt. Lett., vol. 22, no. 14, 1995, pp. 1047-1049.
6. M. A. Kutay, H. M. Ozaktas, O. Arikan, and L. Onural, "Optimal filtering in fractional Fourier domains", IEEE Trans. Sig. Proc. vol. 45, 1997, pp. 1129-1143.
7. H. M. Ozaktas and D. Mendlovic, "Fractional Fourier optics", J. Opt. Soc. Am. A vol. 12, 1995, pp. 743-751.
8. M. A. Kutay, M. F. Erden, H. M. Ozaktas, O. Arikan, C. Candan, and O. Guleryuz, "Cost- Efficient Approximation of Linear Systems with Repeated and Multi-channel Filtering Configura-Tions, " Proc. IEEE Int. Conf. Acous., Speech and Sig. Proc., Seattle, May 12-15 1998.
9. M. A. Kutay, M. F. Erden, H. M. Ozaktas, O. Arikan, O. Guleryuz, and C. Candan, "Space- Bandwidth Efficient Realizations of Linear Systems", to appear in Opt. Lett..
10. B. Barshan, M. A. Kutay, and H. M. Ozaktas, "Optimal Filtering with Linear Canonical Transforms", Opt. Commun., vol. 135, 1997, pp. 32-36.