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Volumn 14, Issue 10, 2007, Pages 699-702

On higher order approximations for Hermite-Gaussian functions and discrete fractional fourier transforms

Author keywords

Commuting matrices; Fractional Fourier transforms; Hermite Gaussian functions

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA;

EID: 34548751172     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/LSP.2007.898354     Document Type: Article
Times cited : (63)

References (11)
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    • Candan, C.1    Kutay, M.A.2    Ozaktas, H.M.3
  • 3
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    • Discrete fractional Fourier transform based on new nearly tridiagonal commuting matrices
    • Oct
    • S. C. Pei, W. L. Hsue, and J. J. Ding, "Discrete fractional Fourier transform based on new nearly tridiagonal commuting matrices," IEEE Trans. Signal Process., vol. 54, no. 10, pp. 3815-3828, Oct. 2006.
    • (2006) IEEE Trans. Signal Process , vol.54 , Issue.10 , pp. 3815-3828
    • Pei, S.C.1    Hsue, W.L.2    Ding, J.J.3
  • 4
    • 0042415176 scopus 로고    scopus 로고
    • Shifted Fourier matrices and their tridiagonal commutors
    • S. Clary and D. H. Mugler, "Shifted Fourier matrices and their tridiagonal commutors," SIAM J. Anal. Appl., vol. 24, pp. 809-821, 2003.
    • (2003) SIAM J. Anal. Appl , vol.24 , pp. 809-821
    • Clary, S.1    Mugler, D.H.2
  • 5
    • 0000044932 scopus 로고    scopus 로고
    • The discrete Cosine transform
    • G. Strang, "The discrete Cosine transform," SIAM Rev., vol. 41, pp. 135-147, 1999.
    • (1999) SIAM Rev , vol.41 , pp. 135-147
    • Strang, G.1
  • 6
    • 0020089260 scopus 로고
    • Eigenvectors and functions of the discrete Fourier transform
    • Feb
    • B. W. Dickinson and K. Steiglitz, "Eigenvectors and functions of the discrete Fourier transform," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-30, no. 1, pp. 25-31, Feb. 1982.
    • (1982) IEEE Trans. Acoust., Speech, Signal Process , vol.ASSP-30 , Issue.1 , pp. 25-31
    • Dickinson, B.W.1    Steiglitz, K.2
  • 7
    • 0001259168 scopus 로고
    • The eigenvectors of the discrete Fourier transform: A version of the Hermite functions
    • F. A. Grunbaum, "The eigenvectors of the discrete Fourier transform: A version of the Hermite functions," J. Math. Anal. Appl., vol. 88, pp. 355-363, 1982.
    • (1982) J. Math. Anal. Appl , vol.88 , pp. 355-363
    • Grunbaum, F.A.1
  • 9
    • 0000588554 scopus 로고
    • Centrosymmetrix (cross-symmetric) matrices, their basic properties, eigenvalues, and eigenvectors
    • J. R. Weaver, "Centrosymmetrix (cross-symmetric) matrices, their basic properties, eigenvalues, and eigenvectors," Amer. Math. Monthly, vol. 92, pp. 711-717, 1985.
    • (1985) Amer. Math. Monthly , vol.92 , pp. 711-717
    • Weaver, J.R.1
  • 11
    • 0010503339 scopus 로고    scopus 로고
    • Discrete fractional Fourier transform,
    • M.S. thesis, Bilkent Univ, Ankara, Turkey
    • C. Candan, "Discrete fractional Fourier transform," M.S. thesis, Bilkent Univ., Ankara, Turkey, 1998.
    • (1998)
    • Candan, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.