메뉴 건너뛰기




Volumn 90, Issue 9, 2010, Pages 2686-2689

On signal moments and uncertainty relations associated with linear canonical transform

Author keywords

Heisenberg's uncertainty principle; Linear canonical transform; Signal moment

Indexed keywords

COMPLEX CHIRP SIGNALS; COMPLEX SIGNAL; GAUSSIAN ENVELOPE; HEISENBERG'S UNCERTAINTY; HEISENBERG'S UNCERTAINTY PRINCIPLE; LINEAR CANONICAL TRANSFORM; LOWER BOUNDS; UNCERTAINTY RELATION;

EID: 77955274428     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2010.03.017     Document Type: Article
Times cited : (35)

References (26)
  • 2
    • 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 Process. 50 1 January 2002 11 26
    • (2002) IEEE Trans. Signal Process. , vol.50 , Issue.1 , pp. 11-26
    • Pei, S.C.1    Ding, J.J.2
  • 4
    • 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. 135 February 1997 32 36
    • (1997) Opt. Commun. , vol.135 , pp. 32-36
    • Barshan, B.1    Kutay, M.A.2    Ozaktas, H.M.3
  • 5
    • 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. 265 2006 454 460
    • (2006) Opt. Commun. , vol.265 , pp. 454-460
    • Sharma, K.K.1    Joshi, S.D.2
  • 6
    • 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 25 3 March 2008 647 652
    • (2008) J. Opt. Soc. Am. A , vol.25 , Issue.3 , pp. 647-652
    • Stern, A.1
  • 7
    • 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 Process. 56 7 July 2008 2677 2683
    • (2008) IEEE Trans. Signal Process. , vol.56 , Issue.7 , pp. 2677-2683
    • Sharma, K.K.1    Joshi, S.D.2
  • 8
    • 67650119620 scopus 로고    scopus 로고
    • Uncertainty principles for linear canonical transform
    • J. Zhao, R. Tao, Y.L. Li, and Y. Wang Uncertainty principles for linear canonical transform IEEE Trans. Signal Process. 57 7 July 2009 2856 2858
    • (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
  • 9
    • 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. 3 5 September 2009 392 402
    • (2009) IET Signal Process. , vol.3 , Issue.5 , pp. 392-402
    • Xu, G.L.1    Wang, X.T.2    Xu, X.G.3
  • 10
    • 69249206629 scopus 로고    scopus 로고
    • New inequalities and uncertainty relations on linear canonical transform revisit
    • G.L. Xu, X.T. Wang, and X.G. Xu New inequalities and uncertainty relations on linear canonical transform revisit EURASIP J. Adv. Signal Process. 2009
    • (2009) EURASIP J. Adv. Signal Process.
    • Xu, G.L.1    Wang, X.T.2    Xu, X.G.3
  • 11
    • 58149503905 scopus 로고    scopus 로고
    • Three uncertainty relations for real signals associated with linear canonical transform
    • G.L. Xu, X.T. Wang, and X.G. Xu Three uncertainty relations for real signals associated with linear canonical transform IET Signal Process. 3 1 January 2009 85 92
    • (2009) IET Signal Process. , vol.3 , Issue.1 , pp. 85-92
    • Xu, G.L.1    Wang, X.T.2    Xu, X.G.3
  • 12
    • 33749469804 scopus 로고    scopus 로고
    • Convolution theorems for the linear canonical transform and their applications
    • B. Deng, R. Tao, and Y. Wang Convolution theorems for the linear canonical transform and their applications Sci. China (Ser. F Inf. Sci.) 49 5 2006 592 603
    • (2006) Sci. China (Ser. F Inf. Sci.) , vol.49 , Issue.5 , pp. 592-603
    • Deng, B.1    Tao, R.2    Wang, Y.3
  • 13
    • 77952129659 scopus 로고    scopus 로고
    • A convolution and product theorem for the linear canonical transform
    • D.Y. Wei, Q.W. Ran, and Y.M. Li et al. A convolution and product theorem for the linear canonical transform IEEE Signal Process. Lett. 16 10 October 2009 853 856
    • (2009) IEEE Signal Process. Lett. , vol.16 , Issue.10 , pp. 853-856
    • Wei, D.Y.1    Ran, Q.W.2    Li, Y.M.3
  • 14
    • 38549163141 scopus 로고    scopus 로고
    • Generalized analytic signal associated with linear canonical transform
    • Y.X. Fu, and L.Q. Li Generalized analytic signal associated with linear canonical transform Opt. Commun. 281 6 March 2008 1468 1472
    • (2008) Opt. Commun. , vol.281 , Issue.6 , pp. 1468-1472
    • Fu, Y.X.1    Li, L.Q.2
  • 15
    • 62749202613 scopus 로고    scopus 로고
    • Generalized Hilbert transform and its properties in 2D LCT domain
    • G.L. Xu, X.T. Wang, and X.G. Xu Generalized Hilbert transform and its properties in 2D LCT domain Signal Process. 89 7 July 2009 1395 1402
    • (2009) Signal Process. , vol.89 , Issue.7 , pp. 1395-1402
    • Xu, G.L.1    Wang, X.T.2    Xu, X.G.3
  • 16
    • 33646129911 scopus 로고    scopus 로고
    • Sampling of linear canonical transformed signals
    • A. Stern Sampling of linear canonical transformed signals Signal Process. 86 7 July 2006 1421 1425
    • (2006) Signal Process. , vol.86 , Issue.7 , pp. 1421-1425
    • Stern, A.1
  • 17
    • 33846571498 scopus 로고    scopus 로고
    • New sampling formulae related to linear canonical transform
    • DOI 10.1016/j.sigpro.2006.09.008, PII S0165168406003136
    • B.Z. Li, R. Tao, and Y. Wang New sampling formulae related to linear canonical transform Signal Process. 87 5 May 2007 983 990 (Pubitemid 46186523)
    • (2007) Signal Processing , vol.87 , Issue.5 , pp. 983-990
    • Li, B.-Z.1    Tao, R.2    Wang, Y.3
  • 18
    • 70350745408 scopus 로고    scopus 로고
    • New sampling formulae for non-bandlimited signals associated with linear canonical transform and nonlinear Fourier atoms
    • Y.L. Liu, K.I. Kou, and I.T. Ho New sampling formulae for non-bandlimited signals associated with linear canonical transform and nonlinear Fourier atoms Signal Process. 90 3 March 2010 933 945
    • (2010) Signal Process. , vol.90 , Issue.3 , pp. 933-945
    • Liu, Y.L.1    Kou, K.I.2    Ho, I.T.3
  • 19
    • 47949105809 scopus 로고    scopus 로고
    • Sampling rate conversion for linear canonical transform
    • J. Zhao, R. Tao, and Y. Wang Sampling rate conversion for linear canonical transform Signal Process. 88 11 November 2008 2825 2832
    • (2008) Signal Process. , vol.88 , Issue.11 , pp. 2825-2832
    • Zhao, J.1    Tao, R.2    Wang, Y.3
  • 20
    • 33747799699 scopus 로고    scopus 로고
    • Closed-form discrete fractional and affine Fourier transforms
    • S.C. Pei, and J.J. Ding Closed-form discrete fractional and affine Fourier transforms IEEE Trans. Signal Process. 48 May 2000 1338 1353
    • (2000) IEEE Trans. Signal Process. , vol.48 , pp. 1338-1353
    • Pei, S.C.1    Ding, J.J.2
  • 21
    • 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 5 May 2005 928 937
    • (2005) J. Opt. Soc. Am. A , vol.22 , Issue.5 , pp. 928-937
    • Hennelly, B.M.1    Sheridan, J.T.2
  • 22
    • 44949106262 scopus 로고    scopus 로고
    • Digital computation of linear canonical transforms
    • A. Koc, and H.M. Ozaktas Digital computation of linear canonical transforms IEEE Trans. Signal Process. 56 6 June 2008 2383 2394
    • (2008) IEEE Trans. Signal Process. , vol.56 , Issue.6 , pp. 2383-2394
    • Koc, A.1    Ozaktas, H.M.2
  • 23
    • 57749196950 scopus 로고    scopus 로고
    • Sampling and discretization of the linear canonical transform
    • J.J. Healy, and J.T. Sheridan Sampling and discretization of the linear canonical transform Signal Process. 89 4 April 2009 641 648
    • (2009) Signal Process. , vol.89 , Issue.4 , pp. 641-648
    • Healy, J.J.1    Sheridan, J.T.2
  • 25
    • 0034319868 scopus 로고    scopus 로고
    • On fractional Fourier transform moments
    • T. Alieva, and M.J. Bastiaans On fractional Fourier transform moments IEEE Signal Process. Lett. 7 11 November 2000 320 323
    • (2000) IEEE Signal Process. Lett. , vol.7 , Issue.11 , pp. 320-323
    • Alieva, T.1    Bastiaans, M.J.2
  • 26
    • 70350732796 scopus 로고    scopus 로고
    • New inequalities for signal spreads in linear canonical transform domains
    • K.K. Sharma New inequalities for signal spreads in linear canonical transform domains Signal Process. 90 3 March 2010 880 884
    • (2010) Signal Process. , vol.90 , Issue.3 , pp. 880-884
    • Sharma, K.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.