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Volumn 51, Issue 8, 2008, Pages 1010-1024

The multiple-parameter fractional Fourier transform

Author keywords

Multiple parameter fractional Fourier transform; Multiplicity of the fractional Fourier transform; Signal processing; Weight type fractional Fourier transform

Indexed keywords


EID: 46749124600     PISSN: 10092757     EISSN: 18622836     Source Type: Journal    
DOI: 10.1007/s11432-008-0073-6     Document Type: Article
Times cited : (51)

References (23)
  • 1
    • 0032682104 scopus 로고    scopus 로고
    • Repeated filtering in consecutive fractional Fourier domains and its application to signal restoration
    • 5
    • Erden M F, Kutay M A, Ozaktas H M. Repeated filtering in consecutive fractional Fourier domains and its application to signal restoration. IEEE Trans Signal Process, 1999, 47(5): 1458-1462
    • (1999) IEEE Trans Signal Process , vol.47 , pp. 1458-1462
    • Erden, M.F.1    Kutay, M.A.2    Ozaktas, H.M.3
  • 2
    • 0000773494 scopus 로고    scopus 로고
    • Fractional Wiener filter
    • Zalevsky Z, Mendlovic D. Fractional Wiener filter. Appl Opt, 1996, 35: 3930-3936
    • (1996) Appl Opt , vol.35 , pp. 3930-3936
    • Zalevsky, Z.1    Mendlovic, D.2
  • 3
    • 84946282862 scopus 로고
    • The angular Fourier transform in optical propagation problems
    • Alieva T, Lopez V, F, Lopez A, et al. The angular Fourier transform in optical propagation problems. J Mod Opt, 1994, 41: 1037-1040
    • (1994) J Mod Opt , vol.41 , pp. 1037-1040
    • Alieva, T.1    Lopez, V.F.2    Lopez, A.3
  • 4
    • 0028382656 scopus 로고
    • Convolution, filtering, and multiplexing in fractional Fourier domains and their relationship to chirp and wavelet transforms
    • Ozaktas H M, Barshan B, Mendlovic D, et al. Convolution, filtering, and multiplexing in fractional Fourier domains and their relationship to chirp and wavelet transforms. J Opt Soc Amer A, 1994, 11: 547-559
    • (1994) J Opt Soc Amer A , vol.11 , pp. 547-559
    • Ozaktas, H.M.1    Barshan, B.2    Mendlovic, D.3
  • 5
    • 0001182141 scopus 로고    scopus 로고
    • Optical encryption by double-random phase encoding in the fractional Fourier domain
    • Unnikrishnan G, Joseph J, Singh K. Optical encryption by double-random phase encoding in the fractional Fourier domain. Opt Lett, 2000, 25: 887-889
    • (2000) Opt Lett , vol.25 , pp. 887-889
    • Unnikrishnan, G.1    Joseph, J.2    Singh, K.3
  • 6
    • 24944519720 scopus 로고    scopus 로고
    • Detection and parameter estimation of multicomponent LFM signal based on the fractional Fourier transform
    • 2
    • Qi L, Tao R, Zhou S Y, et al. Detection and parameter estimation of multicomponent LFM signal based on the fractional Fourier transform. Sci China Ser F-Inf Sci, 2004, 47(2): 184-198
    • (2004) Sci China ser F-Inf Sci , vol.47 , pp. 184-198
    • Qi, L.1    Tao, R.2    Zhou, S.Y.3
  • 7
    • 33749465568 scopus 로고    scopus 로고
    • Research progress of the fractional Fourier transform in signal processing
    • 1
    • Tao R, Deng B, Wang Y. Research progress of the fractional Fourier transform in signal processing. Sci China Ser F-Inf Sci, 2006, 49(1): 1-25
    • (2006) Sci China ser F-Inf Sci , vol.49 , pp. 1-25
    • Tao, R.1    Deng, B.2    Wang, Y.3
  • 8
    • 33749469804 scopus 로고    scopus 로고
    • Convolution theorems for the linear canonical transform and their applications
    • 5
    • Deng B, Tao R, Wang Y. Convolution theorems for the linear canonical transform and their applications. Sci China Ser F-Inf Sci, 2006, 49(5): 592-603
    • (2006) Sci China ser F-Inf Sci , vol.49 , pp. 592-603
    • Deng, B.1    Tao, R.2    Wang, Y.3
  • 9
    • 34347400181 scopus 로고    scopus 로고
    • Spectral analysis and reconstruction for periodic non-uniformly sampled signals in fractional Fourier domain
    • 7
    • Tao R, Li B Z, Wang Y. Spectral analysis and reconstruction for periodic non-uniformly sampled signals in fractional Fourier domain. IEEE Trans Signal Process, 2007, 55(7): 3541-3547
    • (2007) IEEE Trans Signal Process , vol.55 , pp. 3541-3547
    • Tao, R.1    Li, B.Z.2    Wang, Y.3
  • 10
    • 33846571498 scopus 로고    scopus 로고
    • New sampling formulae related to the linear canonical transform
    • Li B Z, Tao R, Wang Y. New sampling formulae related to the linear canonical transform. Signal Process, 2007, 87: 983-990
    • (2007) Signal Process , vol.87 , pp. 983-990
    • Li, B.Z.1    Tao, R.2    Wang, Y.3
  • 11
    • 34547404186 scopus 로고    scopus 로고
    • The fractional Fourier domain analysis of decimation and interpolation
    • 4
    • Meng X Y, Tao R, Wang Y. The fractional Fourier domain analysis of decimation and interpolation. Sci China Ser F-Inf Sci, 2007, 50(4): 521-538
    • (2007) Sci China ser F-Inf Sci , vol.50 , pp. 521-538
    • Meng, X.Y.1    Tao, R.2    Wang, Y.3
  • 12
    • 37748999882 scopus 로고    scopus 로고
    • Sampling and sampling rate conversion of band limited signals in the fractional Fourier transform domain
    • 1
    • Tao R, Deng B, Zhang W Q, et al. Sampling and sampling rate conversion of band limited signals in the fractional Fourier transform domain. IEEE Trans Signal Process, 2008, 56(1): 158-171
    • (2008) IEEE Trans Signal Process , vol.56 , pp. 158-171
    • Tao, R.1    Deng, B.2    Zhang, W.Q.3
  • 13
    • 77958407025 scopus 로고
    • The fractional Fourier transform and its application to quantum mechanics
    • Namias V. The fractional Fourier transform and its application to quantum mechanics. J Inst Math Appl, 1980, 25: 241-265
    • (1980) J Inst Math Appl , vol.25 , pp. 241-265
    • Namias, V.1
  • 14
    • 77957689582 scopus 로고
    • On Namias fractional Fourier transforms
    • McBride A C, Kerr F H. On Namias fractional Fourier transforms. IMA J Appl Maths,1987, 39: 159-175
    • (1987) IMA J Appl Maths , vol.39 , pp. 159-175
    • Kerr, F.H.1
  • 15
    • 0028546458 scopus 로고
    • The fractional Fourier transform and time-frequency representations
    • 11
    • Almeida L B. The fractional Fourier transform and time-frequency representations. IEEE Trans Signal Process, 1994, 42(11): 3084-3091
    • (1994) IEEE Trans Signal Process , vol.42 , pp. 3084-3091
    • Almeida, L.B.1
  • 16
    • 0029358647 scopus 로고
    • Fractionalization of Fourier transform
    • Shih C. Fractionalization of Fourier transform. Opt Comm, 1995, 48: 495-498
    • (1995) Opt Comm , vol.48 , pp. 495-498
    • Shih, C.1
  • 17
    • 0030736926 scopus 로고    scopus 로고
    • Properties of the fractionalization of a Fourier transform
    • 1
    • Liu S, Zhang J, Zhang Y. Properties of the fractionalization of a Fourier transform. Opt Comm, 1997, 133(1): 50-54
    • (1997) Opt Comm , vol.133 , pp. 50-54
    • Liu, S.1    Zhang, J.2    Zhang, Y.3
  • 18
    • 0031557033 scopus 로고    scopus 로고
    • Generalized fractional Fourier transforms
    • Liu S, Jiang J, Zhang Y, et al. Generalized fractional Fourier transforms. J Phys A: Math Gen, 1997, 30: 973-981
    • (1997) J Phys A: Math Gen , vol.30 , pp. 973-981
    • Liu, S.1    Jiang, J.2    Zhang, Y.3
  • 19
    • 11844255714 scopus 로고    scopus 로고
    • Multifractional Fourier transform method based on the generalized permutation matrix group
    • 1
    • Ran Q, Yueng D, Tseng E, et al. Multifractional Fourier transform method based on the generalized permutation matrix group. IEEE Trans Signal Process, 2005, 53(1): 83-98
    • (2005) IEEE Trans Signal Process , vol.53 , pp. 83-98
    • Ran, Q.1    Yueng, D.2    Tseng, E.3
  • 20
    • 0032295753 scopus 로고    scopus 로고
    • A unified framework for the fractional Fourier transform
    • 12
    • Cariolaro G, Erseghe T, Kraniauskas P, et al. A unified framework for the fractional Fourier transform. IEEE Trans Signal Process, 1998, 46(12): 3206-3212
    • (1998) IEEE Trans Signal Process , vol.46 , pp. 3206-3212
    • Cariolaro, G.1    Erseghe, T.2    Kraniauskas, P.3
  • 22
    • 0033881889 scopus 로고    scopus 로고
    • Multiplicity of fractional Fourier transforms and their relationships
    • 1
    • Cariolaro G, Erseghe T, Kraniauskas P, et al. Multiplicity of fractional Fourier transforms and their relationships. IEEE Trans Signal Process, 2000, 48(1): 227-241
    • (2000) IEEE Trans Signal Process , vol.48 , pp. 227-241
    • Cariolaro, G.1    Erseghe, T.2    Kraniauskas, P.3
  • 23
    • 41549106256 scopus 로고    scopus 로고
    • Optical image encryption based on the multiple-parameter fractional Fourier transform
    • Tao R, Lang J, Wang Y. Optical image encryption based on the multiple-parameter fractional Fourier transform. Opt Lett, 2008, 33: 581-583
    • (2008) Opt Lett , vol.33 , pp. 581-583
    • Tao, R.1    Lang, J.2    Wang, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.