메뉴 건너뛰기




Volumn 8, Issue 1, 2014, Pages 85-93

On uncertainty principles for linear canonical transform of complex signals via operator methods

Author keywords

Complex signal; Hermitian operator; Linear canonical transform; Time frequency analysis; Uncertainty principle

Indexed keywords

COMPLEX SIGNAL; HERMITIAN OPERATORS; LINEAR CANONICAL TRANSFORM; TIME FREQUENCY ANALYSIS; UNCERTAINTY PRINCIPLES;

EID: 84891872401     PISSN: 18631703     EISSN: 18631711     Source Type: Journal    
DOI: 10.1007/s11760-013-0466-x     Document Type: Article
Times cited : (24)

References (30)
  • 2
    • 0035424885 scopus 로고    scopus 로고
    • Relations between fractional operations and time-frequency distributions and their applications
    • Pei, S. C., Ding, J. J.: 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
  • 3
    • 20144383756 scopus 로고    scopus 로고
    • A multicarrier architecture based upon the affine Fourier transform
    • Erseghe, T., Laurenti, N., Cellini, V.: A multicarrier architecture based upon the affine Fourier transform. IEEE Trans. Commun. 53, 853-862 (2005).
    • (2005) IEEE Trans. Commun. , vol.53 , pp. 853-862
    • Erseghe, T.1    Laurenti, N.2    Cellini, V.3
  • 4
    • 37549033485 scopus 로고    scopus 로고
    • Properties of the linear canonical integral transformation
    • Alieva, T., Bastiaans, M. J.: Properties of the linear canonical integral transformation. J. Opt. Soc. Am. A 24, 3658-3665 (2007).
    • (2007) J. Opt. Soc. Am. A , vol.24 , pp. 3658-3665
    • Alieva, T.1    Bastiaans, M.J.2
  • 5
    • 75149177068 scopus 로고    scopus 로고
    • Fast linear canonical transforms
    • Healy, J. J., Sheridan, J. T.: Fast linear canonical transforms. J. Opt. Soc. Am. A 27, 21-30 (2010).
    • (2010) J. Opt. Soc. Am. A , vol.27 , pp. 21-30
    • Healy, J.J.1    Sheridan, J.T.2
  • 6
    • 70350745408 scopus 로고    scopus 로고
    • New sampling formulae for non-bandlimited signals associated with linear canonical transform and nonlinear Fourier atoms
    • Liu, Y. L., Kou, K. I., Ho, I. T.: New sampling formulae for non-bandlimited signals associated with linear canonical transform and nonlinear Fourier atoms. Signal Process. 90, 933-945 (2010).
    • (2010) Signal Process. , vol.90 , pp. 933-945
    • Liu, Y.L.1    Kou, K.I.2    Ho, I.T.3
  • 7
    • 78651358134 scopus 로고    scopus 로고
    • Two channel paraunitary filter banks based on linear canonical transform
    • Shinde, S.: Two channel paraunitary filter banks based on linear canonical transform. IEEE Trans. Signal Process. 59, 832-836 (2011).
    • (2011) IEEE Trans. Signal Process. , vol.59 , pp. 832-836
    • Shinde, S.1
  • 8
    • 79958838537 scopus 로고    scopus 로고
    • The space-bandwidth ratio as a means of choosing between Fresnel and other linear canonical transform algorithms
    • Healy, J. J., Sheridan, J. T.: The space-bandwidth ratio as a means of choosing between Fresnel and other linear canonical transform algorithms. J. Opt. Soc. Am. A 28, 786-790 (2011).
    • (2011) J. Opt. Soc. Am. A , vol.28 , pp. 786-790
    • Healy, J.J.1    Sheridan, J.T.2
  • 9
    • 84863170899 scopus 로고    scopus 로고
    • Extrapolation of bandlimited signals in linear canonical transform domain
    • Shi, J., Sha, X., Zhang, Q., Zhang, N.: Extrapolation of bandlimited signals in linear canonical transform domain. IEEE Trans. Signal Process. 60, 1502-1508 (2012).
    • (2012) IEEE Trans. Signal Process. , vol.60 , pp. 1502-1508
    • Shi, J.1    Sha, X.2    Zhang, Q.3    Zhang, N.4
  • 10
    • 84867536084 scopus 로고    scopus 로고
    • Sampling and reconstruction of signals in function spaces associated with the linear canonical transform
    • Shi, J., Liu, X., Sha, X., Zhang, N.: Sampling and reconstruction of signals in function spaces associated with the linear canonical transform. IEEE Trans. Signal Process. 60, 6041-6047 (2012).
    • (2012) IEEE Trans. Signal Process. , vol.60 , pp. 6041-6047
    • Shi, J.1    Liu, X.2    Sha, X.3    Zhang, N.4
  • 11
    • 84904641555 scopus 로고    scopus 로고
    • Generalized convolution and product theorems associated whit linear canonical transform
    • doi: 10. 1007/s11760-012-0348-7
    • Shi, J., Liu, X., Zhang, N.: Generalized convolution and product theorems associated whit linear canonical transform. Signal Image Video Process. (2012). doi: 10. 1007/s11760-012-0348-7.
    • (2012) Signal Image Video Process
    • Shi, J.1    Liu, X.2    Zhang, N.3
  • 12
    • 44349173784 scopus 로고    scopus 로고
    • Uncertainty principles in linear canonical transform domains and some of their implications in optics
    • Stern, A.: Uncertainty principles in linear canonical transform domains and some of their implications in optics. J. Opt. Soc. Am. A 25, 647-652 (2008).
    • (2008) J. Opt. Soc. Am. A , vol.25 , pp. 647-652
    • Stern, A.1
  • 13
    • 46749112750 scopus 로고    scopus 로고
    • Uncertainty principle for real signals in the linear canonical transform domains
    • Sharma, K. K., Joshi, S. D.: Uncertainty principle for real signals in the linear canonical transform domains. IEEE Trans. Signal Process. 56, 2677-2683 (2008).
    • (2008) IEEE Trans. Signal Process. , vol.56 , pp. 2677-2683
    • Sharma, K.K.1    Joshi, S.D.2
  • 14
    • 67650119620 scopus 로고    scopus 로고
    • Uncertainty principles for linear canonical transform
    • Zhao, J., Tao, R., Li, Y. L., Wang, Y.: Uncertainty principles for linear canonical transform. IEEE Trans. Signal Process. 57, 2856-2858 (2009).
    • (2009) IEEE Trans. Signal Process. , vol.57 , pp. 2856-2858
    • Zhao, J.1    Tao, R.2    Li, Y.L.3    Wang, Y.4
  • 15
    • 77955274428 scopus 로고    scopus 로고
    • On signal moments and uncertainty relations associated with linear canonical transform
    • Zhao, J., Tao, R., Wang, Y.: On signal moments and uncertainty relations associated with linear canonical transform. Signal Process. 90, 2686-2689 (2010).
    • (2010) Signal Process , vol.90 , pp. 2686-2689
    • Zhao, J.1    Tao, R.2    Wang, Y.3
  • 16
    • 58149503905 scopus 로고    scopus 로고
    • Three uncertainty relations for real signals associated with linear canonical transform
    • Xu, G., Wang, X., Xu, X.: Three uncertainty relations for real signals associated with linear canonical transform. IET Signal Process. 3, 85-92 (2009).
    • (2009) IET Signal Process , vol.3 , pp. 85-92
    • Xu, G.1    Wang, X.2    Xu, X.3
  • 17
    • 77955596755 scopus 로고    scopus 로고
    • On uncertainty principle for the linear canonical transform of complex signals
    • Xu, G., Wang, X., Xu, X.: On uncertainty principle for the linear canonical transform of complex signals. IEEE Trans. Signal Process. 58, 4916-4918 (2010).
    • (2010) IEEE Trans. Signal Process. , vol.58 , pp. 4916-4918
    • Xu, G.1    Wang, X.2    Xu, X.3
  • 18
    • 77956997558 scopus 로고    scopus 로고
    • Multichannel sampling and reconstruction of bandlimited signals in fractional Fourier domain
    • Shi, J., Chi, Y., Zhang, N.: Multichannel sampling and reconstruction of bandlimited signals in fractional Fourier domain. IEEE Signal Process. Lett. 17, 909-912 (2010).
    • (2010) IEEE Signal Process. Lett. , vol.17 , pp. 909-912
    • Shi, J.1    Chi, Y.2    Zhang, N.3
  • 20
    • 84861191702 scopus 로고    scopus 로고
    • A novel fractional wavelet transform and its applications
    • Shi, J., Zhang, N., Liu, X.: A novel fractional wavelet transform and its applications. Sci. China Inf. Sci. 55, 1270-1279 (2012).
    • (2012) Sci. China Inf. Sci. , vol.55 , pp. 1270-1279
    • Shi, J.1    Zhang, N.2    Liu, X.3
  • 21
    • 13244263041 scopus 로고    scopus 로고
    • Some uncertainty principles for time-frequency transforms of the Cohen class
    • Korn, P.: Some uncertainty principles for time-frequency transforms of the Cohen class. IEEE Trans. Signal Process. 53, 523-527 (2005).
    • (2005) IEEE Trans. Signal Process. , vol.53 , pp. 523-527
    • Korn, P.1
  • 22
    • 0037721742 scopus 로고    scopus 로고
    • Short-time Fourier transform: two fundamental properties and an optimal implementation
    • Durak, L., Arikan, O.: Short-time Fourier transform: two fundamental properties and an optimal implementation. IEEE Trans. Signal Process. 51, 1231-1242 (2003).
    • (2003) IEEE Trans. Signal Process. , vol.51 , pp. 1231-1242
    • Durak, L.1    Arikan, O.2
  • 23
    • 79953818944 scopus 로고    scopus 로고
    • An optimal basis of bandlimited functions for signal analysis and design
    • Wei, L., Kennedy, R. A., Lamahewa, T. A.: An optimal basis of bandlimited functions for signal analysis and design. IEEE Trans. Signal Process. 58, 5744-5755 (2010).
    • (2010) IEEE Trans. Signal Process. , vol.58 , pp. 5744-5755
    • Wei, L.1    Kennedy, R.A.2    Lamahewa, T.A.3
  • 24
    • 84938162892 scopus 로고
    • Minimum Gabor bandwidth of M orthogonal signals
    • Nuttall, A., Amoroso, F.: Minimum Gabor bandwidth of M orthogonal signals. IEEE Trans. Inf. Theory 14, 440-444 (1965).
    • (1965) IEEE Trans. Inf. Theory , vol.14 , pp. 440-444
    • Nuttall, A.1    Amoroso, F.2
  • 25
    • 77952743265 scopus 로고    scopus 로고
    • Compressed channel sensing: a new approach to estimating sparse multipath channels
    • Bajwa, W. U., Haupt, J., Sayeed, A. M., Nowak, R.: Compressed channel sensing: a new approach to estimating sparse multipath channels. Proc. IEEE 98, 1058-1076 (2010).
    • (2010) Proc. IEEE , vol.98 , pp. 1058-1076
    • Bajwa, W.U.1    Haupt, J.2    Sayeed, A.M.3    Nowak, R.4
  • 27
    • 51849143801 scopus 로고    scopus 로고
    • Delivery of sub-10-fs pulses for nonlinear optical microscopy by polarization-maintaining single mode optical fiber
    • Larson, A. M., Yeh, A. T.: Delivery of sub-10-fs pulses for nonlinear optical microscopy by polarization-maintaining single mode optical fiber. Opt. Express 16, 14723-14730 (2008).
    • (2008) Opt. Express , vol.16 , pp. 14723-14730
    • Larson, A.M.1    Yeh, A.T.2
  • 28
    • 0039768601 scopus 로고    scopus 로고
    • The uncertainty principle: a mathematical survey
    • Folland, G. B., Sitaram, A.: The uncertainty principle: a mathematical survey. J. Fourier Anal. Appl. 3, 207-238 (1997).
    • (1997) J. Fourier Anal. Appl. , vol.3 , pp. 207-238
    • Folland, G.B.1    Sitaram, A.2
  • 29
    • 0003733873 scopus 로고
    • Englewood Cliffs, NJ: Prentice-Hall
    • Cohen, L.: Time-Frequency Analysis. Prentice-Hall, Englewood Cliffs, NJ (1995).
    • (1995) Time-Frequency Analysis
    • Cohen, L.1
  • 30
    • 0030166823 scopus 로고    scopus 로고
    • Integral transforms covariant to unitary operators and their implications for joint signal representations
    • Sayeed, A. M., Jones, D. L.: Integral transforms covariant to unitary operators and their implications for joint signal representations. IEEE Trans. Signal Process. 44, 1365-1376 (1996).
    • (1996) IEEE Trans. Signal Process. , vol.44 , pp. 1365-1376
    • Sayeed, A.M.1    Jones, D.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.