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Volumn 54, Issue 6 I, 2006, Pages 2126-2139

Interpolatory frames in signal space

Author keywords

Filter bank; Frame; Framelets; Interpolation; Signal

Indexed keywords

DIGITAL FILTERS; FREQUENCY RESPONSE; HIGH PASS FILTERS; INTERPOLATION; LOW PASS FILTERS; SIGNAL RECONSTRUCTION; TIME DOMAIN ANALYSIS; WAVEFORM ANALYSIS;

EID: 33744523128     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2006.870562     Document Type: Article
Times cited : (20)

References (25)
  • 1
    • 0035501115 scopus 로고    scopus 로고
    • "Butterworth wavelet transforms derived from discrete interpolatory splines: Recursive implementation"
    • A. Z. Averbuch, A. B. Pevnyi, and V. A. Zheludev, "Butterworth wavelet transforms derived from discrete interpolatory splines: Recursive implementation," Signal Process., Vol. 81, pp. 2363-2382, 2001.
    • (2001) Signal Process. , vol.81 , pp. 2363-2382
    • Averbuch, A.Z.1    Pevnyi, A.B.2    Zheludev, V.A.3
  • 2
    • 3142667026 scopus 로고    scopus 로고
    • "A new family of spline-based biorthogonal wavelet transforms and their application to image compression"
    • Jul
    • A. Z. Averbuch and V. A. Zheludev, "A new family of spline-based biorthogonal wavelet transforms and their application to image compression," IEEE Trans. Image Process., Vol. 13, no. 7, pp. 993-1007, Jul. 2004.
    • (2004) IEEE Trans. Image Process. , vol.13 , Issue.7 , pp. 993-1007
    • Averbuch, A.Z.1    Zheludev, V.A.2
  • 3
    • 33744529840 scopus 로고    scopus 로고
    • "On error correction in images using wavelet frames"
    • in preparation
    • A. Z. Averbuch, O. Amarni, T. Cohen, and V. A. Zheludev, "On error correction in images using wavelet frames," in preparation.
    • Averbuch, A.Z.1    Amarni, O.2    Cohen, T.3    Zheludev, V.A.4
  • 4
    • 0032301709 scopus 로고    scopus 로고
    • "Frame-theoretic analysis of oversampled filter banks"
    • Dec
    • H. Bölskei, F. Hlawatsch, and H. Feichtinger, "Frame-theoretic analysis of oversampled filter banks," IEEE Trans. Signal Process., vol. 46, no. 12, pp. 3256-3268, Dec. 1998.
    • (1998) IEEE Trans. Signal Process. , vol.46 , Issue.12 , pp. 3256-3268
    • Bölskei, H.1    Hlawatsch, F.2    Feichtinger, H.3
  • 6
    • 0000238947 scopus 로고    scopus 로고
    • "Compactly supported tight frames associated with refinable functions"
    • C. K. Chui and W. He, "Compactly supported tight frames associated with refinable functions," Appl. Comput. Harmon. Anal., vol. 8, pp. 293-319, 2000.
    • (2000) Appl. Comput. Harmon. Anal. , vol.8 , pp. 293-319
    • Chui, C.K.1    He, W.2
  • 7
    • 0242601591 scopus 로고    scopus 로고
    • "Compactly supported tight and sibling frames with maximum vanishing moments"
    • C. K. Chui, W. He, and J. Stöckler, "Compactly supported tight and sibling frames with maximum vanishing moments," Appl. Comput. Harmon. Anal., vol. 13, pp. 224-262, 2002.
    • (2002) Appl. Comput. Harmon. Anal. , vol.13 , pp. 224-262
    • Chui, C.K.1    He, W.2    Stöckler, J.3
  • 8
  • 10
    • 0000541265 scopus 로고
    • "Analysis of uniform binary subdivision schemes for curve design"
    • N. Dyn, J. A. Gregory, and D. Levin, "Analysis of uniform binary subdivision schemes for curve design," Constr. Approx., vol. 7, pp. 127-147, 1991.
    • (1991) Constr. Approx. , vol.7 , pp. 127-147
    • Dyn, N.1    Gregory, J.A.2    Levin, D.3
  • 11
    • 3142668470 scopus 로고    scopus 로고
    • "Analysis of convergence and smoothness by the formalism of laurent polynomials"
    • A. Iske, E. Quak, and M. S. Floater, Eds. New York: Springer-Verlag
    • N. Dyn, "Analysis of convergence and smoothness by the formalism of laurent polynomials," in Tutorials on Multiresolution in Geometric Modeling, A. Iske, E. Quak, and M. S. Floater, Eds. New York: Springer-Verlag, 2002, pp. 51-68.
    • (2002) Tutorials on Multiresolution in Geometric Modeling , pp. 51-68
    • Dyn, N.1
  • 12
    • 0000293183 scopus 로고
    • "Theory of communications"
    • D. Gabor, "Theory of communications," J. Inst. Electron. Eng., vol. 93, pp. 429-457, 1946.
    • (1946) J. Inst. Electron. Eng. , vol.93 , pp. 429-457
    • Gabor, D.1
  • 14
    • 0035332731 scopus 로고    scopus 로고
    • "Quantized frame expansions with erasures"
    • J.
    • V. K. Goyal, J. Kovacevic, and J. A. Kelner, "Quantized frame expansions with erasures," Appl. Comput. Harmon. Anal., vol. 10, no. 3, pp. 203-233, 2001. J..
    • (2001) Appl. Comput. Harmon. Anal. , vol.10 , Issue.3 , pp. 203-233
    • Goyal, V.K.1    Kovacevic, J.2    Kelner, J.A.3
  • 15
    • 0027649181 scopus 로고
    • "Wavelets and recursive filter banks"
    • Dec
    • C. Herley and M. Vetterli, "Wavelets and recursive filter banks," IEEE Trans. Signal Process., vol. 41, no. 12, pp. 2536-2556, Dec. 1993.
    • (1993) IEEE Trans. Signal Process. , vol.41 , Issue.12 , pp. 2536-2556
    • Herley, C.1    Vetterli, M.2
  • 16
    • 0036611589 scopus 로고    scopus 로고
    • "Filter bank frame expansions with erasures"
    • Jun
    • J. Kovacevic, P. L. Dragotti, and V. K Goyal, "Filter bank frame expansions with erasures," IEEE Trans. Inf. Theory, vol. 48, no. 6, pp. 1439-1450, Jun. 2002.
    • (2002) IEEE Trans. Inf. Theory , vol.48 , Issue.6 , pp. 1439-1450
    • Kovacevic, J.1    Dragotti, P.L.2    Goyal, V.K.3
  • 18
    • 0038238085 scopus 로고    scopus 로고
    • "Symmetric framelets"
    • A. P. Petukhov, "Symmetric framelets," Constr. Approx., vol. 19, pp. 309-328, 2003.
    • (2003) Constr. Approx. , vol.19 , pp. 309-328
    • Petukhov, A.P.1
  • 19
    • 33744540349 scopus 로고    scopus 로고
    • "Wavelet frames and error correcting codes"
    • presented at the 5th AFA-SMAI Int. Conf. Curves Surfaces, ch. France, Saint Malo Jun. 27-Jul. 3
    • A. P. Petukhov, "Wavelet frames and error correcting codes," presented at the 5th AFA-SMAI Int. Conf. Curves Surfaces, ch. France, Saint Malo Jun. 27-Jul. 3, 2002.
    • (2002)
    • Petukhov, A.P.1
  • 20
    • 0001655692 scopus 로고    scopus 로고
    • "On the interpolation by discrete splines with equidistant nodes"
    • A. B. Pevnyi and V. A. Zheludev, "On the interpolation by discrete splines with equidistant nodes," J. Approx. Theory, vol. 102, pp. 286-301, 2000.
    • (2000) J. Approx. Theory , vol.102 , pp. 286-301
    • Pevnyi, A.B.1    Zheludev, V.A.2
  • 21
    • 0036013638 scopus 로고    scopus 로고
    • "Construction of wavelet analysis in he space of discrete splines using Zak transform"
    • A. B. Pevnyi and V. A. Zheludev, "Construction of wavelet analysis in he space of discrete splines using Zak transform," J. Fourier Anal. Appl., vol. 8, no. 1, pp. 55-77, 2002.
    • (2002) J. Fourier Anal. Appl. , vol.8 , Issue.1 , pp. 55-77
    • Pevnyi, A.B.1    Zheludev, V.A.2
  • 24
    • 30244489068 scopus 로고    scopus 로고
    • "The lifting scheme: A custom design construction of biorthogonal wavelets"
    • W. Sweldens, "The lifting scheme: A custom design construction of biorthogonal wavelets," Appl. Comput. Harmon. Anal., vol. 3, no. 2, pp. 186-200, 1996.
    • (1996) Appl. Comput. Harmon. Anal. , vol.3 , Issue.2 , pp. 186-200
    • Sweldens, W.1
  • 25
    • 33748694315 scopus 로고    scopus 로고
    • "Interpolatory subdivision schemes with infinite masks originated from splines"
    • to be published
    • V. A. Zheludev, "Interpolatory subdivision schemes with infinite masks originated from splines," Adv. Comput. Math., to be published.
    • Adv. Comput. Math.
    • Zheludev, V.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.