메뉴 건너뛰기




Volumn 57, Issue 7, 2009, Pages 2856-2858

Uncertainty principles for linear canonical transform

Author keywords

Fractional Fourier transform; Linear canonical transform (LCT); U ncertainty principle

Indexed keywords

COMPLEX CHIRP SIGNALS; COMPLEX SIGNAL; FRACTIONAL FOURIER TRANSFORM; FRACTIONAL FOURIER TRANSFORMS; GAUSSIAN ENVELOPE; LINEAR CANONICAL TRANSFORM; LINEAR CANONICAL TRANSFORM (LCT); LOWER BOUNDS; REAL SIGNALS; SIGNAL REPRESENTATIONS; U NCERTAINTY PRINCIPLE; UNCERTAINTY PRINCIPLES;

EID: 67650119620     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2009.2020039     Document Type: Article
Times cited : (113)

References (15)
  • 1
    • 36849112629 scopus 로고
    • Linear canonical transformations and their unitary representations
    • Aug
    • M. Moshinsky and C. Quesne, "Linear canonical transformations and their unitary representations," J. Math. Phys., vol. 12, pp. 1772-1783, Aug. 1971.
    • (1971) J. Math. Phys , vol.12 , pp. 1772-1783
    • Moshinsky, M.1    Quesne, C.2
  • 2
    • 0001484759 scopus 로고    scopus 로고
    • L. M. Bernardo, ABCD matrix formalism of fractional Fourier optics Opt. Eng., 35, no. 3, pp. 732-740, Mar. 1996.
    • L. M. Bernardo, "ABCD matrix formalism of fractional Fourier optics" Opt. Eng., vol. 35, no. 3, pp. 732-740, Mar. 1996.
  • 3
    • 0036173698 scopus 로고    scopus 로고
    • Eigenfunctions of linear canonical transform
    • S.C. Pei and J. J. Ding, "Eigenfunctions of linear canonical transform," IEEE Trans. Signal Processing, vol. 50, no, 1, pp. 11-26, 2002.
    • (2002) IEEE Trans. Signal Processing , vol.50 , Issue.1 , pp. 11-26
    • Pei, S.C.1    Ding, J.J.2
  • 4
    • 67650165111 scopus 로고    scopus 로고
    • R. Tao, L. Qi, and Y. Wango Theory and Applications of the Fractional Fourier Transform. Beijing: Tsinghua University Press, 2004.
    • R. Tao, L. Qi, and Y. Wango Theory and Applications of the Fractional Fourier Transform. Beijing: Tsinghua University Press, 2004.
  • 6
    • 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, no. 11, pp. 3084-3091, 1994.
    • (1994) IEEE Trans. Signal Processing , vol.42 , Issue.11 , pp. 3084-3091
    • Almeida, L.B.1
  • 7
    • 0031079193 scopus 로고    scopus 로고
    • Optimal filters with linear canonical transformations
    • B. Barshan, M. A. Kutay, and H. M. Ozaktas, "Optimal filters with linear canonical transformations," Opt. Commun., vol. 135, pp. 32-36, 1997.
    • (1997) Opt. Commun , vol.135 , pp. 32-36
    • Barshan, B.1    Kutay, M.A.2    Ozaktas, H.M.3
  • 8
    • 33748045831 scopus 로고    scopus 로고
    • Signal separation using linear canonical and fractional Fourier transforms
    • K. K. Sharma and S. D. Joshi, "Signal separation using linear canonical and fractional Fourier transforms," Opt. Commun., vol. 265, pp. 454-460, 2006.
    • (2006) Opt. Commun , vol.265 , pp. 454-460
    • Sharma, K.K.1    Joshi, S.D.2
  • 9
    • 0006486256 scopus 로고
    • Uncertainty principle invariant under fractional Fourier transform
    • D. Mustard, "Uncertainty principle invariant under fractional Fourier transform," J. Austral. Math. Soc. Ser. B, vol. 33, pp. 180-191, 1991.
    • (1991) J. Austral. Math. Soc. Ser. B , vol.33 , pp. 180-191
    • Mustard, D.1
  • 10
    • 0029369313 scopus 로고
    • Fractional Fourier domains
    • H.M. Ozaktas and O. Aytur, "Fractional Fourier domains," Signal Processing, vol. 46, pp. 119-124, 1995.
    • (1995) Signal Processing , vol.46 , pp. 119-124
    • Ozaktas, H.M.1    Aytur, O.2
  • 11
    • 0034319868 scopus 로고    scopus 로고
    • On fractional Fourier transform moments
    • T. Alieva and M. J. Bastiaans, "On fractional Fourier transform moments," IEEE Signal Processing Letters, vol. 7, no. 11, pp. 320-323, 2000.
    • (2000) IEEE Signal Processing Letters , vol.7 , Issue.11 , pp. 320-323
    • Alieva, T.1    Bastiaans, M.J.2
  • 12
    • 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 Processing, vol. 49, no. 11, pp. 2545-2548, 2001.
    • (2001) IEEE Trans. Signal Processing , vol.49 , Issue.11 , pp. 2545-2548
    • Shinde, S.1    Gadre, V.M.2
  • 13
    • 0038621682 scopus 로고    scopus 로고
    • Short-time fractional Fourier methods for the time-frequency representation of chirp signals
    • C. Capus and K. Brown, "Short-time fractional Fourier methods for the time-frequency representation of chirp signals," J. Acoust. Soc. Am vol. 113, no. 6, pp. 3253-3263, 2003.
    • (2003) J. Acoust. Soc. Am , vol.113 , Issue.6 , pp. 3253-3263
    • Capus, C.1    Brown, K.2
  • 14
    • 44349173784 scopus 로고    scopus 로고
    • Uncertainty principles, in linear canonical transform domains and some of their implications in optics
    • A. Stern, "Uncertainty principles, in linear canonical transform domains and some of their implications in optics" J. Opt. Soc. Am. A vol. 25, no. 3, pp. 647-652, 2008.
    • (2008) J. Opt. Soc. Am. A , vol.25 , Issue.3 , pp. 647-652
    • Stern, A.1
  • 15
    • 46749112750 scopus 로고    scopus 로고
    • Uncertainty principles for real signals in linear canonical transform domains
    • K.K. Sharma and S. D. Joshi, "Uncertainty principles for real signals in linear canonical transform domains" IEEE Trans. Signal Processing vol. 56, no. 7, pp. 2677-2683, 2008.
    • (2008) IEEE Trans. Signal Processing , vol.56 , Issue.7 , pp. 2677-2683
    • Sharma, K.K.1    Joshi, S.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.