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Volumn 38, Issue 2, 1992, Pages 533-555

Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for rn

Author keywords

filter banks; Multidimensional; multidimensional wavelets; nonseparable filter banks; wavelets

Indexed keywords

IMAGE PROCESSING - SAMPLING; MATHEMATICAL TECHNIQUES - EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL TRANSFORMATIONS; SIGNAL PROCESSING - SIGNAL ENCODING;

EID: 0026624134     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/18.119722     Document Type: Article
Times cited : (363)

References (49)
  • 1
    • 0023643927 scopus 로고
    • Two-dimensional HR filters for exact reconstruction in tree-structured subband decomposition
    • June
    • R. Ansari, “Two-dimensional HR filters for exact reconstruction in tree-structured subband decomposition,” Electron. Lett., vol. 23, no. 12, pp. 633–634, June 1987.
    • (1987) Electron. Lett. , vol.23 , Issue.12 , pp. 633-634
    • Ansari, R.1
  • 3
    • 0026374896 scopus 로고
    • Image coding using lattice vector quantization of wavelet coefficients
    • Toronto, Canada, May
    • M. Antonini, M. Barlaud, and P. Mathieu,” Image coding using lattice vector quantization of wavelet coefficients,” in Proc. IEEE Int. Conf. ASSP, Toronto, Canada, May 1991, pp. 2273–2276.
    • (1991) Proc. IEEE Int. Conf. ASSP , pp. 2273
    • Antonini, M.1    Barlaud, M.2    Mathieu, P.3
  • 4
    • 0004308785 scopus 로고
    • Introduction to Higher Algebra
    • New York: Macmillan
    • M. Bocher, Introduction to Higher Algebra. New York: Macmillan, 1907.
    • (1907)
    • Bocher, M.1
  • 5
    • 0004258985 scopus 로고
    • An Introduction to the Geometry of Numbers
    • Berlin; Springer-Verlag
    • J. W. Cassels, An Introduction to the Geometry of Numbers. Berlin; Springer-Verlag, 1971.
    • (1971)
    • Cassels, J.W.1
  • 6
    • 0025741970 scopus 로고
    • Multidimensional multirate filters derived from one-dimensional filters
    • Jan.
    • T. Chen and P. P. Vaidyanathan, “Multidimensional multirate filters derived from one-dimensional filters,” Electron. Lett., Jan. 1991.
    • (1991) Electron. Lett.
    • Chen, T.1    Vaidyanathan, P.P.2
  • 8
    • 0040267909 scopus 로고
    • Perfect channel splitting by use of interpolation/decimation/tree decomposition techniques
    • Patras, Greece, Aug.
    • A. Croisier, D. Esteban, and C. Galand, “Perfect channel splitting by use of interpolation/decimation/tree decomposition techniques,” in Int. Conf. Inform. Sci. Syst., Patras, Greece, Aug. 1976, pp. 443–446.
    • (1976) Int. Conf. Inform. Sci. Syst. , pp. 443-446
    • Croisier, A.1    Esteban, D.2    Galand, C.3
  • 9
    • 84990575058 scopus 로고
    • Orthonormal bases of compactly supported wavelets
    • Nov.
    • I. Daubechies, “Orthonormal bases of compactly supported wavelets,” Commun. Pure Appl. Math., vol. 41, pp. 909–996, Nov. 1988.
    • (1988) Commun. Pure Appl. Math. , vol.41 , pp. 909-996
    • Daubechies, I.1
  • 11
    • 0000160525 scopus 로고
    • Two-scale difference equations: II. Local regularity, infinite products of matrices and fractals
    • to appear
    • I. Daubechies and J. Lagarias, “Two-scale difference equations: II. Local regularity, infinite products of matrices and fractals,” SIAM J. Math. Anal., 1992, to appear.
    • (1992) SIAM J. Math. Anal.
    • Daubechies, I.1    Lagarias, J.2
  • 12
    • 0001406484 scopus 로고
    • Multidimensional iterative interpolation
    • G. Deslauriers, J. Dubois, and S. Dubuc, “Multidimensional iterative interpolation,” Can. J. Math., vol. 43, no. 2, pp. 297–312, 1991.
    • (1991) Can. J. Math. , vol.43 , Issue.2 , pp. 297-312
    • Deslauriers, G.1    Dubois, J.2    Dubuc, S.3
  • 13
    • 0022052153 scopus 로고
    • The sampling and reconstruction of time-varying imagery with application in video systems
    • Apr.
    • E. Dubois, “The sampling and reconstruction of time-varying imagery with application in video systems,” Proc. IEEE, vol. 73, no. 4, pp. 502–522, Apr. 1985.
    • (1985) Proc. IEEE , vol.73 , Issue.4 , pp. 502-522
    • Dubois, E.1
  • 14
    • 0004058546 scopus 로고
    • Multidimensional Digital Signal Processing
    • Englewood Cliffs, NJ; Prentice-Hall
    • D. E. Dudgeon and R. M. Mersereau, Multidimensional Digital Signal Processing. Englewood Cliffs, NJ; Prentice-Hall 1984.
    • (1984)
    • Dudgeon, D.E.1    Mersereau, R.M.2
  • 15
    • 0003868373 scopus 로고
    • Analyse multiresolution par ondelettes non orthogonales et bancs de filtres numériques
    • Ph.D. dissertation, Univ. Paris Sud
    • J.-C. Feauveau, “Analyse multiresolution par ondelettes non orthogonales et bancs de filtres numériques,” Ph.D. dissertation, Univ. Paris Sud, 1990.
    • (1990)
    • Feauveau, J.-C.1
  • 17
    • 0000562670 scopus 로고
    • Decomposition of Hardy functions into square integrable wavelets of constant shape
    • A. Grossmann and J. Morlet, “Decomposition of Hardy functions into square integrable wavelets of constant shape,” SIAM J. Math. Anal., vol. 15, no. 4, pp. 723-736, 1984.
    • (1984) SIAM J. Math. Anal. , vol.15 , Issue.4 , pp. 723-736
    • Grossmann, A.1    Morlet, J.2
  • 18
    • 0037518848 scopus 로고
    • Filter Banks and Wavelets: Extensions and Applications
    • ColumbiaUniv., New York
    • J. Kovačević, “Filter Banks and Wavelets: Extensions and Applications,” Ph.D. dissertation, Columbia Univ., New York, 1991.
    • (1991)
    • Kovačević, J.1
  • 20
    • 0025680381 scopus 로고
    • Design of multidimensional filter banks for non-separable subsampling
    • New Orleans, LA, May
    • J. Kovačević, M. Vetterli, and G. Karlsson, “Design of multidimensional filter banks for non-separable subsampling,” in Proc. IEEE Int. Symp. Circuits Syst., New Orleans, LA, May 1990, pp. 2004–2008.
    • (1990) Proc. IEEE Int. Symp. Circuits Syst. , pp. 2004-2008
    • Kovačević, J.1    Vetterli, M.2    Karlsson, G.3
  • 23
    • 0024700097 scopus 로고
    • A theory of multiresolution signal decomposition: The wavelet representation
    • July
    • S. Mallat, “A theory of multiresolution signal decomposition: The wavelet representation,” IEEE Trans. Pattern Recognition Machine Intell., vol. 11, no. 7, pp. 674–693, July 1989.
    • (1989) IEEE Trans. Pattern Recognition Machine Intell. , vol.11 , Issue.7 , pp. 674-693
    • Mallat, S.1
  • 24
    • 0001958802 scopus 로고
    • The design of two-dimensional filters by transformations
    • Princeton, NJ
    • J. McClellan, “The design of two-dimensional filters by transformations, in Proc. 7th Ann. Princeton Conf. ISS, Princeton, NJ, 1973, pp. 274–251.
    • (1973) Proc. 7th Ann. Princeton Conf. ISS , pp. 251-274
    • McClellan, J.1
  • 25
    • 0004105134 scopus 로고
    • Ondelettes
    • Paris; Hermann
    • Y. Meyer, Ondelettes. Paris; Hermann, 1990.
    • (1990)
    • Meyer, Y.1
  • 26
    • 0022082034 scopus 로고
    • Filters for distortion-free two-band multirate filter banks
    • June
    • F. Mintzer, “Filters for distortion-free two-band multirate filter banks,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-33, no. 3, pp. 626–630, June 1985.
    • (1985) IEEE Trans. Acoust., Speech, Signal Processing , vol.ASSP-33 , Issue.3 , pp. 626-630
    • Mintzer, F.1
  • 27
    • 0004018543 scopus 로고
    • Integral Matrices
    • New York: Academic
    • M. Newman, Integral Matrices. New York: Academic, 1972.
    • (1972)
    • Newman, M.1
  • 28
    • 0024663386 scopus 로고
    • Two-channel perfect-reconstruction FIR QMF structures which yield linear-phase analysis and synthesis filters
    • May
    • T. Q. Nguyen and P. P. Vaidyanathan, “Two-channel perfect-reconstruction FIR QMF structures which yield linear-phase analysis and synthesis filters,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, no. 5, pp. 676–690, May 1989.
    • (1989) IEEE Trans. Acoust., Speech, Signal Processing , vol.37 , Issue.5 , pp. 676-690
    • Nguyen, T.Q.1    Vaidyanathan, P.P.2
  • 29
    • 84925240268 scopus 로고
    • Dyadic up-scaling schemes: Simple criteria for regularity
    • Feb., submitted for publication
    • O. Rioul, “Dyadic up-scaling schemes: Simple criteria for regularity,” SIAM J. Math. Anal., Feb. 1991, submitted for publication.
    • (1991) SIAM J. Math. Anal.
    • Rioul, O.1
  • 30
    • 0022739248 scopus 로고
    • Exact reconstruction for tree-structured subband coders
    • June
    • M. J. T. Smith and T. P. Barnwell III, “Exact reconstruction for tree-structured subband coders,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-34, no. 3, pp. 431–441, June 1986.
    • (1986) IEEE Trans. Acoust., Speech, Signal Processing , vol.ASSP-34 , Issue.3 , pp. 431-441
    • Smith, M.J.T.1    Barnwell, T.P.2
  • 31
    • 0023164707 scopus 로고
    • A new filter bank theory for time-frequency representation
    • Mar.
    • M. J. T. Smith and T. P. Barnwell III, “A new filter bank theory for time-frequency representation,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, no. 3, pp. 314–327, Mar. 1987.
    • (1987) IEEE Trans. Acoust., Speech, Signal Processing , vol.ASSP-35 , Issue.3 , pp. 314-327
    • Smith, M.J.T.1    Barnwell, T.P.2
  • 32
    • 0024921922 scopus 로고
    • Wavelets and dilation equations: A brief introduction
    • Dec.
    • G. Strang, “Wavelets and dilation equations: A brief introduction,” SIAM Rev., vol. 31, no. 4, pp. 614–627, Dec. 1990.
    • (1990) SIAM Rev. , vol.31 , Issue.4 , pp. 614-627
    • Strang, G.1
  • 33
    • 0023327065 scopus 로고
    • Theory and design of M-channel maximally decimated quadrature mirror filters with arbitrary M, having the perfect reconstruction property
    • Apr.
    • P. P. Vaidyanathan, “Theory and design of M-channel maximally decimated quadrature mirror filters with arbitrary M, having the perfect reconstruction property,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, no. 4, pp. 476–492, Apr. 1987.
    • (1987) IEEE Trans. Acoust., Speech, Signal Processing , vol.ASSP-35 , Issue.4 , pp. 476-492
    • Vaidyanathan, P.P.1
  • 34
    • 84925268320 scopus 로고
    • Robust Digital Filters and Multirate Filter Banks
    • Englewood Cliffs, NJ: Prentice Hall
    • P. P. Vaidyanathan, Robust Digital Filters and Multirate Filter Banks. Englewood Cliffs, NJ: Prentice Hall, 1992, to appear.
    • (1992)
    • Vaidyanathan, P.P.1
  • 35
    • 0023826778 scopus 로고
    • Lattice structures for optimal design and robust implementation of two-channel perfect reconstruction filter banks
    • P. P. Vaidyanathan and P. Q. Hoang, “Lattice structures for optimal design and robust implementation of two-channel perfect reconstruction filter banks,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 36, no. 1, pp. 81–94, 1988.
    • (1988) IEEE Trans. Acoust., Speech, Signal Processing , vol.36 , Issue.1 , pp. 81-94
    • Vaidyanathan, P.P.1    Hoang, P.Q.2
  • 36
    • 0024719928 scopus 로고
    • The role of lossless systems in modern digital signal processing: A tutorial
    • Aug.
    • P. P. Vaidyanathan and Z. Doğanata, “The role of lossless systems in modern digital signal processing: A tutorial,” IEEE Trans. Education, vol. 32, no. 3, pp. 181–197, Aug. 1989.
    • (1989) IEEE Trans. Education , vol.32 , Issue.3 , pp. 181-197
    • Vaidyanathan, P.P.1    Doğanata, Z.2
  • 37
    • 0021409008 scopus 로고
    • Multi-dimensional sub-band coding: Some theory and algorithms
    • Feb.
    • M. Vetterli, “Multi-dimensional sub-band coding: Some theory and algorithms,” Signal Processing, vol. 6, no. 2, pp. 97–112, Feb. 1984.
    • (1984) Signal Processing , vol.6 , Issue.2 , pp. 97-112
    • Vetterli, M.1
  • 38
    • 0022694921 scopus 로고
    • Filter banks allowing perfect reconstruction
    • Apr.
    • M. Vetterli, “Filter banks allowing perfect reconstruction,” Signal Processing, vol. 10, no. 3, pp. 219–244, Apr. 1986.
    • (1986) Signal Processing , vol.10 , Issue.3 , pp. 219-244
    • Vetterli, M.1
  • 40
    • 0002534046 scopus 로고
    • Multirate filter banks for subband coding
    • J. W. Woods, Ed. New York: Kluwer
    • M. Vetterli, “Multirate filter banks for subband coding,” in Subband Image Coding, J. W. Woods, Ed. New York: Kluwer, 1990.
    • (1990) Subband Image Coding
    • Vetterli, M.1
  • 41
    • 0042124696 scopus 로고
    • Wavelets and filter banks for discrete-time signal processing
    • R. Coifman et al., Eds. New York: Jones and Bartlett
    • M. Vetterli, “Wavelets and filter banks for discrete-time signal processing,” in Wavelets and Their Applications, R. Coifman et al., Eds. New York: Jones and Bartlett, 1991.
    • (1991) Wavelets and Their Applications
    • Vetterli, M.1
  • 43
    • 0025506888 scopus 로고
    • Perfect reconstruction filter banks for HDTV representation and coding
    • Oct.
    • M. Vetterli, J. Kovačević, and D. J. LeGall, “Perfect reconstruction filter banks for HDTV representation and coding,” Image Commun., vol. 2, no. 3, pp. 349–364, Oct. 1990.
    • (1990) Image Commun. , vol.2 , Issue.3 , pp. 349-364
    • Vetterli, M.1    Kovačević, J.2    LeGall, D.J.3
  • 44
    • 0024699807 scopus 로고
    • Perfect reconstruction FIR filter banks: some properties and factorizations
    • July
    • M. Vetterli and D. J. LeGall, “Perfect reconstruction FIR filter banks: some properties and factorizations,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, no. 7, pp. 1057–1071, July 1989.
    • (1989) IEEE Trans. Acoust., Speech, Signal Processing , vol.37 , Issue.7 , pp. 1057-1071
    • Vetterli, M.1    LeGall, D.J.2
  • 45
    • 0024125254 scopus 로고
    • Design of perfect reconstruction multi-dimensional filter banks using cascaded Smith form matrices
    • Espoo, Finland, June
    • E. Viscito and J. P. Allebach, “Design of perfect reconstruction multi-dimensional filter banks using cascaded Smith form matrices,” in Proc. IEEE Int. Symp. Circuits Syst., Espoo, Finland, June 1988, pp. 381–384.
    • (1988) Proc. IEEE Int. Symp. Circuits Syst. , pp. 381-384
    • Viscito, E.1    Allebach, J.P.2
  • 46
    • 0025899887 scopus 로고
    • The analysis and design of multidimensional FIR perfect reconstruction filter banks for arbitrary sampling lattices
    • Jan.
    • E. Viscito and J. P. Allebach, “The analysis and design of multidimensional FIR perfect reconstruction filter banks for arbitrary sampling lattices,” IEEE Trans. Circuits Syst., vol. 38, no. 1, pp. 29–42, Jan. 1991.
    • (1991) IEEE Trans. Circuits Syst. , vol.38 , Issue.1 , pp. 29-42
    • Viscito, E.1    Allebach, J.P.2
  • 48
    • 0025414259 scopus 로고
    • Non-separable extensions of quadrature mirror filters to multiple dimensions
    • Apr.
    • E. P. Simoncelli and E. H. Adelson, “Non-separable extensions of quadrature mirror filters to multiple dimensions,” Proc. IEEE, vol. 78, pp. 652–664, Apr. 1990.
    • (1990) Proc. IEEE , vol.78 , pp. 652-664
    • Simoncelli, E.P.1    Adelson, E.H.2


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