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Volumn 16, Issue 3, 2004, Pages 182-202

Computation of the fractional Fourier transform

Author keywords

Fractional Fourier transform

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL METHODS; IMAGE RECONSTRUCTION; QUANTUM THEORY; SIGNAL PROCESSING;

EID: 2442558164     PISSN: 10635203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.acha.2004.02.001     Document Type: Article
Times cited : (128)

References (24)
  • 1
    • 0028546458 scopus 로고
    • The fractional fourier transform and time-frequency representation
    • L.B. Almeida, The fractional Fourier transform and time-frequency representation, IEEE Trans. Signal Process. 42 (1994) 3084-3091.
    • (1994) IEEE Trans. Signal Process. , vol.42 , pp. 3084-3091
    • Almeida, L.B.1
  • 3
    • 0039013794 scopus 로고    scopus 로고
    • The discrete fractional fourier transform and Harper's equation
    • L. Barker, The discrete fractional Fourier transform and Harper's equation, Mathematika 47 (1-2) (2000) 281-297.
    • (2000) Mathematika , vol.47 , Issue.1-2 , pp. 281-297
    • Barker, L.1
  • 4
    • 0034708297 scopus 로고    scopus 로고
    • The discrete harmonic oscillator, Harper's equation, and the discrete fractional fourier transform
    • L. Barker, Ç. Candan, T. Hakioǧlu, M.A. Kutay, H.M. Ozaktas, The discrete harmonic oscillator, Harper's equation, and the discrete fractional Fourier transform, J. Phys. A 33 (2000) 2209-2222.
    • (2000) J. Phys. A , vol.33 , pp. 2209-2222
    • Barker, L.1    Candan, Ç.2    Hakioǧlu, T.3    Kutay, M.A.4    Ozaktas, H.M.5
  • 9
    • 0001515953 scopus 로고
    • Immersion of the Fourier transform in a continuous group of functional transformations
    • E.U. Condon, Immersion of the Fourier transform in a continuous group of functional transformations, Proc. Nat. Acad. Sci. 23 (1937) 158-164.
    • (1937) Proc. Nat. Acad. Sci. , vol.23 , pp. 158-164
    • Condon, E.U.1
  • 10
    • 0034251216 scopus 로고    scopus 로고
    • A multi-input-multi-output system approach for the computation of discrete fractional Fourier transform
    • D.F. Huang, B.S. Chen, A multi-input-multi-output system approach for the computation of discrete fractional Fourier transform, Signal Process. 80 (2000) 1501-1513.
    • (2000) Signal Process. , vol.80 , pp. 1501-1513
    • Huang, D.F.1    Chen, B.S.2
  • 11
    • 0008857739 scopus 로고
    • Wurzeln aus der hankel- und fourier und anderen stetigen transformationen
    • H. Kober, Wurzeln aus der Hankel- und Fourier und anderen stetigen Transformationen, Quart. J. Math. Oxford Ser. 10 (1939) 45-49.
    • (1939) Quart. J. Math. Oxford Ser. , vol.10 , pp. 45-49
    • Kober, H.1
  • 13
    • 77957689582 scopus 로고
    • On Namias's fractional Fourier transforms
    • A.C. McBride, F.H. Kerr, On Namias's fractional Fourier transforms, IMA J. Appl. Math. 39 (1987) 159-175.
    • (1987) IMA J. Appl. Math. , vol.39 , pp. 159-175
    • McBride, A.C.1    Kerr, F.H.2
  • 14
    • 77958407025 scopus 로고
    • The fractional order Fourier transform and its application in quantum mechanics
    • V. Namias, The fractional order Fourier transform and its application in quantum mechanics, J. Inst. Math. Appl. 25 (1980) 241-265.
    • (1980) J. Inst. Math. Appl. , vol.25 , pp. 241-265
    • Namias, V.1
  • 18
    • 0032669485 scopus 로고    scopus 로고
    • Discrete fractional Fourier-transform based on orthogonal projections
    • S.-C. Pei, M.-H. Yeh, C.-C. Tseng, Discrete fractional Fourier-transform based on orthogonal projections, IEEE Trans. Signal Process. 47 (5) (1999) 1335-1348.
    • (1999) IEEE Trans. Signal Process. , vol.47 , Issue.5 , pp. 1335-1348
    • Pei, S.-C.1    Yeh, M.-H.2    Tseng, C.-C.3
  • 19
    • 0031190361 scopus 로고    scopus 로고
    • Improved discrete fractional fourier transform
    • S.C. Pei, M.H. Yeh, Improved discrete fractional Fourier transform, Opt. Lett. 22 (1997) 1047-1049.
    • (1997) Opt. Lett. , vol.22 , pp. 1047-1049
    • Pei, S.C.1    Yeh, M.H.2
  • 20
    • 0035368817 scopus 로고    scopus 로고
    • The discrete fractional cosine and sine transforms
    • S.C. Pei, M.H. Yeh, The discrete fractional cosine and sine transforms, IEEE Trans. Signal Process. 49 (2001) 1198-1207.
    • (2001) IEEE Trans. Signal Process. , vol.49 , pp. 1198-1207
    • Pei, S.C.1    Yeh, M.H.2
  • 23
    • 0003023534 scopus 로고
    • Hermitian polynomials and Fourier analysis
    • N. Wiener, Hermitian polynomials and Fourier analysis, J. Math. Phys. 8 (1929) 70-73.
    • (1929) J. Math. Phys. , vol.8 , pp. 70-73
    • Wiener, N.1
  • 24
    • 0037333192 scopus 로고    scopus 로고
    • A method for the discrete fractional Fourier transform computation
    • M.H. Yeh, S.C. Pei, A method for the discrete fractional Fourier transform computation, IEEE Trans. Signal Process. 51 (3) (2003) 889-891.
    • (2003) IEEE Trans. Signal Process. , vol.51 , Issue.3 , pp. 889-891
    • Yeh, M.H.1    Pei, S.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.