메뉴 건너뛰기




Volumn 85, Issue 1, 2005, Pages 11-26

Fractional Fourier transform: A novel tool for signal processing

Author keywords

Fractional Fourier transform; Signal processing and analysis

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; FOURIER TRANSFORMS; FUNCTIONS; IMAGE PROCESSING; MATHEMATICAL MODELS;

EID: 20344363176     PISSN: 09704140     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (98)

References (30)
  • 2
    • 77958407025 scopus 로고
    • The fractional order Fourier transform and its applications to quantum mechanics
    • V. Namias, The fractional order Fourier transform and its applications to quantum mechanics, J. Inst. Math Appl., 25, 241-265 (1980).
    • (1980) J. Inst. Math Appl. , vol.25 , pp. 241-265
    • Namias, V.1
  • 3
    • 0008857739 scopus 로고
    • Wurzeln aus der Hankel-, Fourier- und aus anderen stetigen transfornationen
    • H. Kober, Wurzeln aus der Hankel-, Fourier- und aus anderen stetigen transfornationen, Q. J. Math. (Oxford), 10, 45-59 (1939).
    • (1939) Q. J. Math. (Oxford) , vol.10 , pp. 45-59
    • Kober, H.1
  • 4
    • 84973949160 scopus 로고
    • Matrices associated with fractional Hankel and Fourier transformations
    • A. P. Guinand, Matrices associated with fractional Hankel and Fourier transformations, Proc. Glasgow Math. Assoc., 2, 185-192 (1956).
    • (1956) Proc. Glasgow Math. Assoc. , vol.2 , pp. 185-192
    • Guinand, A.P.1
  • 6
    • 0008807541 scopus 로고
    • Fractionalization of Hankel transforms
    • V. Namias, Fractionalization of Hankel transforms, J. Inst. Math. Applic., 26, 187-197 (1980).
    • (1980) J. Inst. Math. Applic. , vol.26 , pp. 187-197
    • Namias, V.1
  • 7
    • 84904440283 scopus 로고
    • On Namia's fractional Fourier transform
    • A. C. McBride and F. H. Keer, On Namia's fractional Fourier transform, IMA J. Appl. Math., 239, 159-175 (1987).
    • (1987) IMA J. Appl. Math. , vol.239 , pp. 159-175
    • McBride, A.C.1    Keer, F.H.2
  • 8
    • 0027652515 scopus 로고
    • Fractional Fourier transforms and their optical implementation-I
    • D. Mendlovic and H. M. Ozaktas, Fractional Fourier transforms and their optical implementation-I, J. Opt. Soc. Am. A, 10, 1875-1881 (1993).
    • (1993) J. Opt. Soc. Am. A , vol.10 , pp. 1875-1881
    • Mendlovic, D.1    Ozaktas, H.M.2
  • 12
    • 0032669485 scopus 로고    scopus 로고
    • Discrete fractional Fourier transform based on orthogonal projections
    • S. C. Pei, M. H. Yeh and C. C. Tseng, Discrete fractional Fourier transform based on orthogonal projections, IEEE Trans. Signal Processing, 47, 1335-1348 (1999).
    • (1999) IEEE Trans. Signal Processing , vol.47 , pp. 1335-1348
    • Pei, S.C.1    Yeh, M.H.2    Tseng, C.C.3
  • 14
    • 0028382656 scopus 로고
    • Convolution, filtering and multiplexing in fractional domains and their relation to chirp and wavelet transforms
    • H. M. Ozaktas, B. Barshan, D. Mendlovic and L. Onural, Convolution, filtering and multiplexing in fractional domains and their relation to chirp and wavelet transforms, J. Opt. Soc. Am. A, 11, 547-559 (1994).
    • (1994) J. Opt. Soc. Am. A , vol.11 , pp. 547-559
    • Ozaktas, H.M.1    Barshan, B.2    Mendlovic, D.3    Onural, L.4
  • 15
    • 33747799699 scopus 로고    scopus 로고
    • Closed form discrete fractional and Affine fractional transforms
    • S. C. Pei and J. J. Ding, Closed form discrete fractional and Affine fractional transforms, IEEE Trans. Signal Processing, 48, 1338-1353 (2000).
    • (2000) IEEE Trans. Signal Processing , vol.48 , pp. 1338-1353
    • Pei, S.C.1    Ding, J.J.2
  • 16
    • 0027641018 scopus 로고
    • Fourier transforms of fractional order and their optical interpretation
    • H. M. Ozaktas and David Mendlovic, Fourier transforms of fractional order and their optical interpretation, Opt. Commun., 101, 163-169 (1993).
    • (1993) Opt. Commun. , vol.101 , pp. 163-169
    • Ozaktas, H.M.1    Mendlovic, D.2
  • 17
    • 0032682104 scopus 로고    scopus 로고
    • Repeated filtering in consecutive fractional Fourier domains and its applications to signal restoration
    • M. F. Edren, M. A. Kutay and H. M. Ozaktas, Repeated filtering in consecutive fractional Fourier domains and its applications to signal restoration, IEEE Trans. Signal Processing, 47, 1458-1462 (1999).
    • (1999) IEEE Trans. Signal Processing , vol.47 , pp. 1458-1462
    • Edren, M.F.1    Kutay, M.A.2    Ozaktas, H.M.3
  • 18
    • 0035340022 scopus 로고    scopus 로고
    • Fractional convolution and correlation via operator methods and an application to detection of linear FM signals
    • O. Akay and G. F. Boudreaux-Bastel, Fractional convolution and correlation via operator methods and an application to detection of linear FM signals, IEEE Trans. Signal Processing, 49, 979-993 (2001).
    • (2001) IEEE Trans. Signal Processing , vol.49 , pp. 979-993
    • Akay, O.1    Boudreaux-Bastel, G.F.2
  • 19
    • 0037645696 scopus 로고    scopus 로고
    • Beamforming using the fractional Fourier transform
    • I. S. Yetik and A. Nehorai, Beamforming using the fractional Fourier transform, IEEE Trans. Signal Processing, 51, 1663-1668 (2003).
    • (2003) IEEE Trans. Signal Processing , vol.51 , pp. 1663-1668
    • Yetik, I.S.1    Nehorai, A.2
  • 20
    • 0027682286 scopus 로고
    • Image rotation, Wigner rotation and the fractional Fourier transform
    • Adolf W. Lohmann, Image rotation, Wigner rotation and the fractional Fourier transform, J. Opt. Soc. Am. A, 10, 2181-2186 (1993).
    • (1993) J. Opt. Soc. Am. A , vol.10 , pp. 2181-2186
    • Lohmann, A.W.1
  • 22
    • 0035424885 scopus 로고    scopus 로고
    • Relations between fractional operations and time-frequency distributions and their applications
    • S. C. Pei and J. J. Ding, Relations between fractional operations and time-frequency distributions and their applications, IEEE Trans. Signal Processing, 49, 1638-1655 (2001).
    • (2001) IEEE Trans. Signal Processing , vol.49 , pp. 1638-1655
    • Pei, S.C.1    Ding, J.J.2
  • 27
    • 0032652552 scopus 로고    scopus 로고
    • New properties of the Radon transform of the cross Wigner/ambiguity distribution function
    • I. Raveh and D. Mendlovic, New properties of the Radon transform of the cross Wigner/ambiguity distribution function, IEEE Trans. Signal Processing, 47, 2077-2081 (1999).
    • (1999) IEEE Trans. Signal Processing , vol.47 , pp. 2077-2081
    • Raveh, I.1    Mendlovic, D.2
  • 28
    • 0017851927 scopus 로고
    • On the use of window functions for harmonic analysis with discrete Fourier transform
    • F. J. Harris, On the use of window functions for harmonic analysis with discrete Fourier transform, Proc. IEEE, 66, 51-83 (1978).
    • (1978) Proc. IEEE , vol.66 , pp. 51-83
    • Harris, F.J.1
  • 29
    • 0029297098 scopus 로고
    • Windows: A tool in signal processing
    • J. K. Gautam, A. Kumar and Rajiv Saxena, Windows: A tool in signal processing, IETE Tech. Rev., 12, 217-226 (1995).
    • (1995) IETE Tech. Rev. , vol.12 , pp. 217-226
    • Gautam, J.K.1    Kumar, A.2    Saxena, R.3
  • 30
    • 0030129614 scopus 로고    scopus 로고
    • Some important fractional transformations for signal processing
    • A. W. Lohmann, D. Mendlovic, Z. Zalevsky and R. G. Dorsch, Some important fractional transformations for signal processing, Opt. Commun., 125, 18-20 (1996).
    • (1996) Opt. Commun. , vol.125 , pp. 18-20
    • Lohmann, A.W.1    Mendlovic, D.2    Zalevsky, Z.3    Dorsch, R.G.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.