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Volumn 18, Issue 4, 1997, Pages 981-999

Numerical condition of discrete wavelet transforms

Author keywords

Biorthogonal wavelets; Block circulant matrices; Block Toeplitz operators; Numerical condition; Translational bases

Indexed keywords


EID: 0031535701     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479894278319     Document Type: Article
Times cited : (6)

References (14)
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    • Cohen, A.1
  • 3
    • 84974002026 scopus 로고
    • A stability criterion for biorthogonal wavelet bases and their related subband coding scheme
    • A. COHEN AND I. DAUBECHIES, A stability criterion for biorthogonal wavelet bases and their related subband coding scheme, Duke Math. J., 68 (1992), pp. 313-335.
    • (1992) Duke Math. J. , vol.68 , pp. 313-335
    • Cohen, A.1    Daubechies, I.2
  • 4
    • 4344680978 scopus 로고
    • On the instability of arbitrary biorthogonal wavelet packets
    • A. COHEN AND I. DAUBECHIES, On the instability of arbitrary biorthogonal wavelet packets, SIAM J. Math. Anal., 24 (1993), pp. 1340-1354.
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 1340-1354
    • Cohen, A.1    Daubechies, I.2
  • 5
    • 84990623513 scopus 로고
    • Biorthogonal bases of compactly supported wavelets
    • A. COHEN, I. DAUBECHIES, AND J. C. FEAUVEAU, Biorthogonal bases of compactly supported wavelets, Comm. Pure Appl. Math., 45 (1992), pp. 485-560.
    • (1992) Comm. Pure Appl. Math. , vol.45 , pp. 485-560
    • Cohen, A.1    Daubechies, I.2    Feauveau, J.C.3
  • 6
    • 84990575058 scopus 로고
    • Orthonormal bases of compactly supported wavelets
    • I. DAUBECHIES, Orthonormal bases of compactly supported wavelets, Comm. Pure Appl. Math., 41 (1988), pp. 909-996.
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 909-996
    • Daubechies, I.1
  • 8
    • 0039850462 scopus 로고
    • Numerical stability of biorthogonal wavelet transforms
    • special issue on multiscale techniques
    • F. KEINERT, Numerical stability of biorthogonal wavelet transforms, Adv. Comput. Math., 4 (1995), pp. 1-26 (special issue on multiscale techniques).
    • (1995) Adv. Comput. Math. , vol.4 , pp. 1-26
    • Keinert, F.1
  • 10
    • 0029207792 scopus 로고
    • Short wavelets and matrix dilation equations
    • G. STRANG AND V. STRELA, Short wavelets and matrix dilation equations, IEEE Trans. Signal Process., 43 (1995), pp. 108-115.
    • (1995) IEEE Trans. Signal Process. , vol.43 , pp. 108-115
    • Strang, G.1    Strela, V.2
  • 11
    • 0028737816 scopus 로고
    • Compact image coding using wavelets and wavelet packets based on non-stationary and inhomogeneous multiresolution analyses
    • A. F. Laine and M. Unser, eds.
    • A. UHL, Compact image coding using wavelets and wavelet packets based on non-stationary and inhomogeneous multiresolution analyses, in Mathematical Imaging: Wavelet Applications in Signal and Image Processing II, Proc. SPIE 2303, A. F. Laine and M. Unser, eds., 1994, pp. 378-388.
    • (1994) Mathematical Imaging: Wavelet Applications in Signal and Image Processing II, Proc. SPIE 2303 , pp. 378-388
    • Uhl, A.1
  • 12
    • 0003433734 scopus 로고
    • Multirate systems and filter banks
    • Prentice-Hall, Englewood Cliffs, NJ
    • P. P. VAIDYANATHAN, Multirate Systems and Filter Banks, Signal Processing Series, Prentice-Hall, Englewood Cliffs, NJ, 1992.
    • (1992) Signal Processing Series
    • Vaidyanathan, P.P.1
  • 13
    • 0024699807 scopus 로고
    • Perfect reconstruction FIR filter banks: Some properties and factorizations
    • M. VETTERLI AND D. LE GALL, Perfect reconstruction FIR filter banks: Some properties and factorizations, IEEE Trans. Acoust., Speech Signal Process., 37 (1989), pp. 1057-1071.
    • (1989) IEEE Trans. Acoust., Speech Signal Process. , vol.37 , pp. 1057-1071
    • Vetterli, M.1    Le Gall, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.