메뉴 건너뛰기




Volumn 58, Issue 9, 2010, Pages 4916-4918

On uncertainty principle for the linear canonical transform of complex signals

Author keywords

Complex signals; fractional Fourier transform (FrFT); linear canonical transform (LCT); uncertainty principle

Indexed keywords

COMPLEX SIGNAL; FRACTIONAL FOURIER TRANSFORMS; LINEAR CANONICAL TRANSFORM; UNCERTAINTY PRINCIPLES;

EID: 77955596755     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2010.2050201     Document Type: Article
Times cited : (49)

References (21)
  • 2
    • 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
  • 3
    • 0036504010 scopus 로고    scopus 로고
    • A class of fractional integral transforms: A generalization of the Fractional Fourier Transform
    • Mar.
    • A. I. Zayed, "A class of fractional integral transforms: A generalization of the Fractional Fourier Transform," IEEE Trans. Signal Process., vol.50, no.3, pp. 619-627, Mar. 2002.
    • (2002) IEEE Trans. Signal Process. , vol.50 , Issue.3 , pp. 619-627
    • Zayed, A.I.1
  • 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. Amer. A, vol.20, pp. 522-532, 2003.
    • (2003) J. Opt. Soc. Amer. A , vol.20 , pp. 522-532
    • Pei, S.C.1    Ding, J.J.2
  • 5
    • 36849112629 scopus 로고
    • Linear canonical transformations and their unitary representation
    • M. Moshinsky and C. Quesne, "Linear canonical transformations and their unitary representation," J. Math. Phys., vol.12, no.8, pp. 1772-1783, 1971.
    • (1971) J. Math. Phys. , vol.12 , Issue.8 , pp. 1772-1783
    • Moshinsky, M.1    Quesne, C.2
  • 6
    • 65449161002 scopus 로고    scopus 로고
    • Fractional power spectrum
    • Sep.
    • R. Tao, F. Zhang, and Y. Wang, "Fractional power spectrum," IEEE Trans. Signal Process., vol.56, no.9, pp. 4199-4206, Sep. 2008.
    • (2008) IEEE Trans. Signal Process. , vol.56 , Issue.9 , pp. 4199-4206
    • Tao, R.1    Zhang, F.2    Wang, Y.3
  • 8
    • 0006486256 scopus 로고
    • Uncertainty principle invariant under Fractional Fourier Transform
    • D. Mustard, "Uncertainty principle invariant under Fractional Fourier Transform," J. Aust. Math. Soc., ser. B, vol.33, pp. 180-191, 1991.
    • (1991) J. Aust. Math. Soc., Ser. B , vol.33 , pp. 180-191
    • Mustard, D.1
  • 9
    • 0035503193 scopus 로고    scopus 로고
    • An uncertainty principle for real signals in the Fractional Fourier Transform domain
    • Nov.
    • S. Shinde and M. G. Vikram, "An uncertainty principle for real signals in the Fractional Fourier Transform domain," IEEE Trans. Signal Process., vol.49, no.11, pp. 2545-2548, Nov. 2001.
    • (2001) IEEE Trans. Signal Process. , vol.49 , Issue.11 , pp. 2545-2548
    • Shinde, S.1    Vikram, M.G.2
  • 10
    • 56049121172 scopus 로고    scopus 로고
    • The logarithmic, Heisenberg's and short-time uncertainty principles associated with fractional Fourier transform
    • G. L. Xu, X. T. Wang, and X. G. Xu, "The logarithmic, Heisenberg's and short-time uncertainty principles associated with fractional Fourier transform," Signal Process., vol.89, no.3, pp. 339-343, 2009.
    • (2009) Signal Process , vol.89 , Issue.3 , pp. 339-343
    • Xu, G.L.1    Wang, X.T.2    Xu, X.G.3
  • 11
    • 67651085299 scopus 로고    scopus 로고
    • The entropic uncertainty principle in fractional Fourier transform domains
    • G. L. Xu, X. T. Wang, and X. G. Xu, "The entropic uncertainty principle in fractional Fourier transform domains," Signal Process., vol.89, no.12, pp. 2692-2697, 2009.
    • (2009) Signal Process , vol.89 , Issue.12 , pp. 2692-2697
    • Xu, G.L.1    Wang, X.T.2    Xu, X.G.3
  • 12
    • 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., vol.1, no.4, pp. 359-367, 2007.
    • (2007) Signal Image Video Process. , vol.1 , Issue.4 , pp. 359-367
    • Stern, A.1
  • 13
    • 33646129911 scopus 로고    scopus 로고
    • Sampling of linear canonical transformed signals
    • A. Stern, "Sampling of linear canonical transformed signals," Signal Process., vol.86, no.7, pp. 1421-1425, 2006.
    • (2006) Signal Process , vol.86 , Issue.7 , pp. 1421-1425
    • Stern, A.1
  • 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. Amer. A, vol.25, no.3, pp. 647-652, 2008.
    • (2008) J. Opt. Soc. Amer. A , vol.25 , Issue.3 , pp. 647-652
    • Stern, A.1
  • 15
    • 77955604872 scopus 로고    scopus 로고
    • Three cases of uncertainty principle for real signals in linear canonical transform domain
    • G. L. Xu, X. T. Wang, and X. G. Xu, "Three cases of uncertainty principle for real signals in linear canonical transform domain," IET Signal Process., vol.3, no.1, pp. 85-92, 2009.
    • (2009) IET Signal Process , vol.3 , Issue.1 , pp. 85-92
    • Xu, G.L.1    Wang, X.T.2    Xu, X.G.3
  • 16
    • 69249232888 scopus 로고    scopus 로고
    • Uncertainty inequalities for linear canonical transform
    • G. L. Xu, X. T.Wang, and X. G. Xu, "Uncertainty inequalities for linear canonical transform," IET Signal Process., vol.3, no.5, pp. 392-402, 2009.
    • (2009) IET Signal Process , vol.3 , Issue.5 , pp. 392-402
    • Xu, G.L.1    Wang, X.T.2    Xu, X.G.3
  • 17
    • 46749112750 scopus 로고    scopus 로고
    • Uncertainty principle for real signals in the linear canonical transform domains
    • Jul.
    • K. K. Sharma and S. D. Joshi, "Uncertainty principle for real signals in the linear canonical transform domains," IEEE Trans. Signal Process., vol.56, no.7, pp. 2677-2683, Jul. 2008.
    • (2008) IEEE Trans. Signal Process. , vol.56 , Issue.7 , pp. 2677-2683
    • Sharma, K.K.1    Joshi, S.D.2
  • 18
    • 67650119620 scopus 로고    scopus 로고
    • Uncertainty principles for linear canonical transform
    • Jul.
    • J. Zhao, R. Tao, Y. L. Li, and Y. Wang, "Uncertainty principles for linear canonical transform," IEEE Trans. Signal Process., vol.57, no.7, pp. 2856-2858, Jul. 2009.
    • (2009) IEEE Trans. Signal Process. , vol.57 , Issue.7 , pp. 2856-2858
    • Zhao, J.1    Tao, R.2    Li, Y.L.3    Wang, Y.4
  • 19
    • 33750938921 scopus 로고    scopus 로고
    • Technische Universitat Munchen, Munchen, Germany, Tech. Rep. [Online]. Available
    • K. K. Selig, "Uncertainty principles revisited," Technische Universitat Munchen, Munchen, Germany, Tech. Rep., 2001 [Online]. Available: http://www-lit.ma.tum.de/veroeff/quel/010.47001.pdf
    • (2001) Uncertainty Principles Revisited
    • Selig, K.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.