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Volumn 48, Issue 1, 2000, Pages 227-241

Multiplicity of fractional Fourier transforms and their relationships

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; FIBER OPTICS; MATHEMATICAL OPERATORS; OPTICAL DATA PROCESSING; OPTICAL TRANSFER FUNCTION; SIGNAL PROCESSING;

EID: 0033881889     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.815493     Document Type: Article
Times cited : (80)

References (26)
  • 1
    • 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,"/ Inst. Math. Appl., vol. 25, pp. 241-265, 1980.
    • (1980) Inst. Math. Appl. , vol.25 , pp. 241-265
    • Namias, V.1
  • 2
    • 77957689582 scopus 로고
    • On Namias's fractional Fourier transform, 1MA
    • A. C. McBride and F. H. Kerr, "On Namias's fractional Fourier transform," 1MA J. Appl. Math., vol. 39, pp. 159-175, 1987.
    • (1987) J. Appl. Math. , vol.39 , pp. 159-175
    • McBride, A.C.1    Kerr, F.H.2
  • 4
    • 0027682286 scopus 로고    scopus 로고
    • Image rotation, Wigner rotation, and the fractional Fourier transform
    • Oct. 1993.
    • A. W. Lohmann, "Image rotation, Wigner rotation, and the fractional Fourier transform," / Opt. Soc. Amer. A, vol. 10, no. 10, pp. 2181-2186, Oct. 1993.
    • Opt. Soc. Amer. a , vol.10 , Issue.10 , pp. 2181-2186
    • Lohmann, A.W.1
  • 5
    • 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. Amer. A, vol. 10, no. 9, pp. 1875-1881, Sept. 1993.
    • (1993) J. Opt. Soc. Amer. a , vol.10 , Issue.9 , pp. 1875-1881
    • Mendlovic, D.1    Ozaktas, H.M.2
  • 6
    • 0027740848 scopus 로고    scopus 로고
    • Fractional Fourier transforms and their optical implementation-II
    • Dec. 1993.
    • H. M. Ozaktas and D. Mendlovic, "Fractional Fourier transforms and their optical implementation-II," J. Opt. Soc. Amer. A, vol. 10, no. 12, pp. 2522-2531, Dec. 1993.
    • J. Opt. Soc. Amer. a , vol.10 , Issue.12 , pp. 2522-2531
    • Ozaktas, H.M.1    Mendlovic, D.2
  • 7
    • 0028531566 scopus 로고    scopus 로고
    • Fractional Fourier transforms and imaging
    • Oct. 1994.
    • L. M. Bernardo and O. D. D. Soares, "Fractional Fourier transforms and imaging," J. Opt. Soc. Amer. A, vol. 11, no. 10, pp. 2622-2626, Oct. 1994.
    • J. Opt. Soc. Amer. a , vol.11 , Issue.10 , pp. 2622-2626
    • Bernardo, L.M.1    Soares, O.D.D.2
  • 8
    • 0029292376 scopus 로고
    • Fractional Fourier optics
    • Apr.
    • H. M. Ozaktas and D. Mendlovic, "Fractional Fourier optics," J. Opt. Soc. Amer. A, vol. 12, no. 4, pp. 743-751, Apr. 1995.
    • (1995) J. Opt. Soc. Amer. a , vol.12 , Issue.4 , pp. 743-751
    • Ozaktas, H.M.1    Mendlovic, D.2
  • 9
    • 0028546458 scopus 로고
    • The fractional Fourier transform and time-frequency representations
    • L. B. Almeida, "The fractional Fourier transform and time-frequency representations," IEEE Trans. Signal Processing, vol. 42, pp. 3084-3091, Nov. 1994.
    • (1994) IEEE Trans. Signal Processing , vol.42 , pp. 3084-3091
    • Almeida, L.B.1
  • 10
    • 0029358647 scopus 로고
    • Fractionalization of Fourier transform
    • C.-C. Shih, "Fractionalization of Fourier transform," Opt. Commun., no. 118, pp. 495-98, Aug. 1, 1995.
    • (1995) Opt. Commun., 118 , pp. 495-98
    • Shih, C.-C.1
  • 11
    • 0030736926 scopus 로고    scopus 로고
    • Properties of the fractionalization of a Fourier transform
    • S. Liu, J. Zhang, and Y. Zhang, "Properties of the fractionalization of a Fourier transform," Opt. Commun., no. 133, pp. 50-54, Jan. 1, 1997.
    • (1997) Opt. Commun., 133 , pp. 50-54
    • Liu, S.1    Zhang, J.2    Zhang, Y.3
  • 14
    • 84975606557 scopus 로고
    • Roots of the identity operator and optics
    • July
    • M. E. Marhic, "Roots of the identity operator and optics," J. Opt. Soc. Amer. A, vol. 12, no. 7, pp. 1448-1459, July 1995.
    • (1995) J. Opt. Soc. Amer. a , vol.12 , Issue.7 , pp. 1448-1459
    • Marhic, M.E.1
  • 15
    • 27644491636 scopus 로고    scopus 로고
    • Root and power transformations in optics
    • Nov. 1995.
    • J. Shamir and N. Cohen, "Root and power transformations in optics," J. Opt. Soc. Amer. A, vol. 12, no. 11, pp. 2415-2423, Nov. 1995.
    • J. Opt. Soc. Amer. a , vol.12 , Issue.11 , pp. 2415-2423
    • Shamir, J.1    Cohen, N.2
  • 21
    • 0347432129 scopus 로고
    • Mémoire sur diverses formulaes dé analyse
    • A. L. Cauchy, "Mémoire sur diverses formulaes dé analyse," Comptes Rendus, vol. 12, pp. 283-298, 1841.
    • (1841) Comptes Rendus , vol.12 , pp. 283-298
    • Cauchy, A.L.1
  • 25
    • 0018545218 scopus 로고
    • Sampling theorems in polar coordinates
    • H. Stark, "Sampling theorems in polar coordinates," J. Opt. Soc. Amer., vol. 69, pp. 1519-1525, Nov. 1979.
    • (1979) J. Opt. Soc. Amer. , vol.69 , pp. 1519-1525
    • Stark, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.