메뉴 건너뛰기




Volumn 25, Issue 3, 2008, Pages 647-652

Uncertainty principles in linear canonical transform domains and some of their implications in optics

Author keywords

[No Author keywords available]

Indexed keywords

FOURIER TRANSFORMS; NUMERICAL METHODS; OPTICAL VARIABLES MEASUREMENT;

EID: 44349173784     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.25.000647     Document Type: Article
Times cited : (138)

References (24)
  • 3
    • 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 Process. 49, 1638-1655 (2001).
    • (2001) IEEE Trans. Signal Process , vol.49 , pp. 1638-1655
    • Pei, S.C.1    Ding, J.J.2
  • 4
    • 0042575188 scopus 로고    scopus 로고
    • Eigenfunctions of the offset Fourier, fractional Fourier, and linear canonical transforms
    • S. C. Pei and J. J. Ding, "Eigenfunctions of the offset Fourier, fractional Fourier, and linear canonical transforms," J. Opt. Soc. Am. A 20, 522-532 (2003).
    • (2003) J. Opt. Soc. Am. A , vol.20 , pp. 522-532
    • Pei, S.C.1    Ding, J.J.2
  • 5
    • 15044353204 scopus 로고    scopus 로고
    • Generalized prolate spheroidal wave functions for optical finite fractional Fourier and linear canonical transforms
    • S. C. Pei and J. J. Ding, "Generalized prolate spheroidal wave functions for optical finite fractional Fourier and linear canonical transforms," J. Opt. Soc. Am. A 22, 460-474 (2005).
    • (2005) J. Opt. Soc. Am. A , vol.22 , pp. 460-474
    • Pei, S.C.1    Ding, J.J.2
  • 6
    • 19944379483 scopus 로고    scopus 로고
    • Generalizing, optimizing, and inventing numerical algorithms for the, fractional Fourier, Fresnel, and linear canonical transforms
    • B. M. Hennelly and J. T. Sheridan, "Generalizing, optimizing, and inventing numerical algorithms for the, fractional Fourier, Fresnel, and linear canonical transforms," J. Opt. Soc. Am. A 22, 917-927 (2005).
    • (2005) J. Opt. Soc. Am. A , vol.22 , pp. 917-927
    • Hennelly, B.M.1    Sheridan, J.T.2
  • 7
    • 19944406134 scopus 로고    scopus 로고
    • Fast numerical algorithm for the linear canonical transform
    • B. M. Hennelly and J. T. Sheridan, "Fast numerical algorithm for the linear canonical transform," J. Opt. Soc. Am. A 22, 998-937 (2005).
    • (2005) J. Opt. Soc. Am. A , vol.22 , pp. 998-937
    • Hennelly, B.M.1    Sheridan, J.T.2
  • 8
    • 33846507237 scopus 로고    scopus 로고
    • Why is the linear canonical transform so little known?
    • A. Stern, "Why is the linear canonical transform so little known?," AIP Conf. Proc. 860, 225-234 (2006).
    • (2006) AIP Conf. Proc , vol.860 , pp. 225-234
    • Stern, A.1
  • 9
    • 33646129911 scopus 로고    scopus 로고
    • Sampling of linear canonical transformed signals
    • A. Stern, "Sampling of linear canonical transformed signals," Signal Process. 86, 1421-1425 (2006).
    • (2006) Signal Process , vol.86 , pp. 1421-1425
    • Stern, A.1
  • 10
    • 0030145797 scopus 로고    scopus 로고
    • The generalized Fresnel transform and its application to optics
    • D. F. V. James and G. S. Agarwal, "The generalized Fresnel transform and its application to optics," Opt. Commun. 126, 207-212 (1996).
    • (1996) Opt. Commun , vol.126 , pp. 207-212
    • James, D.F.V.1    Agarwal, G.S.2
  • 11
    • 0001484759 scopus 로고    scopus 로고
    • ABCD matrix formalism of fractional Fourier optics
    • L. M. Bernardo, "ABCD matrix formalism of fractional Fourier optics," Opt. Eng. (Bellingham) 35, 732-740 (1996).
    • (1996) Opt. Eng. (Bellingham) , vol.35 , pp. 732-740
    • Bernardo, L.M.1
  • 12
    • 0001459151 scopus 로고
    • Lens-system diffraction integral written in terms of matrix optics
    • S. A. Collins, "Lens-system diffraction integral written in terms of matrix optics," J. Opt. Soc. Am. 60, 1168-1174 (1970).
    • (1970) J. Opt. Soc. Am , vol.60 , pp. 1168-1174
    • Collins, S.A.1
  • 13
    • 0020102107 scopus 로고
    • First-order optics - a canonical operator representation: Lossless systems
    • M. Nazarathy and J. Shamir, "First-order optics - a canonical operator representation: lossless systems," J. Opt. Soc. Am. 72, 356-364 (1982).
    • (1982) J. Opt. Soc. Am , vol.72 , pp. 356-364
    • Nazarathy, M.1    Shamir, J.2
  • 14
    • 36849112629 scopus 로고
    • Linear canonical transformations and their unitary representations
    • M. Moshinsky and C. Quesne, "Linear canonical transformations and their unitary representations," J. Math. Phys. 12, 1772-1783 (1971).
    • (1971) J. Math. Phys , vol.12 , pp. 1772-1783
    • Moshinsky, M.1    Quesne, C.2
  • 15
    • 0042575188 scopus 로고    scopus 로고
    • Eigenfunctions of the offset Fourier, fractional Fourier, and linear canonical transforms
    • S. C. Pei and J. J. Ding, "Eigenfunctions of the offset Fourier, fractional Fourier, and linear canonical transforms," J. Opt. Soc. Am. A 20, 522-532 (2003).
    • (2003) J. Opt. Soc. Am. A , vol.20 , pp. 522-532
    • Pei, S.C.1    Ding, J.J.2
  • 16
    • 38149006890 scopus 로고    scopus 로고
    • Sampling of compact signals in offset linear canonical transform domains
    • A. Stern, "Sampling of compact signals in offset linear canonical transform domains," Signal Image Video Process. 1, 359-367 (2007).
    • (2007) Signal Image Video Process , vol.1 , pp. 359-367
    • Stern, A.1
  • 17
    • 0028546432 scopus 로고
    • Optical operations on wave functions as the Abelian subgroups of the special affine Fourier transformation
    • S. Abe and J. T. Sheridan, "Optical operations on wave functions as the Abelian subgroups of the special affine Fourier transformation," Opt. Lett. 19, 1801-1803 (1994).
    • (1994) Opt. Lett , vol.19 , pp. 1801-1803
    • Abe, S.1    Sheridan, J.T.2
  • 18
    • 0028368314 scopus 로고
    • Pulse compression, fiber communication, and diffraction: A unified approach
    • A. Papoulis, "Pulse compression, fiber communication, and diffraction: a unified approach," J. Opt. Soc. Am. A 11, 3-13 (1994).
    • (1994) J. Opt. Soc. Am. A , vol.11 , pp. 3-13
    • Papoulis, A.1
  • 19
    • 0028509784 scopus 로고
    • Graded index fibers, Wigner distribution, and the fractional Fourier transform
    • D. Mendlovic, H. M. Ozaktas, and A. W. Lohmann, "Graded index fibers, Wigner distribution, and the fractional Fourier transform," Appl. Opt. 33, 6188-6193 (1994).
    • (1994) Appl. Opt , vol.33 , pp. 6188-6193
    • Mendlovic, D.1    Ozaktas, H.M.2    Lohmann, A.W.3
  • 20
    • 0029369313 scopus 로고
    • Fractional Fourier domains
    • H. M. Ozaktas and O. Aytur,"Fractional Fourier domains," Signal Process. 46, 119-124 (1995).
    • (1995) Signal Process , vol.46 , pp. 119-124
    • Ozaktas, H.M.1    Aytur, O.2
  • 21
    • 0035503193 scopus 로고    scopus 로고
    • An uncertainty principle for real signals in the fractional Fourier transform domain
    • S. Shinde and V. M. Gadre, "An uncertainty principle for real signals in the fractional Fourier transform domain," IEEE Trans. Signal Process. 49, 2545-2548 (2001).
    • (2001) IEEE Trans. Signal Process , vol.49 , pp. 2545-2548
    • Shinde, S.1    Gadre, V.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.