Last update: 27.X.2010

Author: Peter J. Burt and Edward H. Adelson

Title: The Laplacian pyramid as a compact image code

Language: English

Format: pdf

Source: CiteSeerX - IEEE Trans. Commun., 31 (1983), 532–540.

Author: R. E. Crochiere, S. A. Webber, and J. L. Flanagan

Title: Digital coding of speech in subbands

Language:

Format:

Source: ??? - Bell System Technical J., 55 (1976), 1069–1085.

Author: D. Esteban and C. Galand

Title: Application of quadrature mirror filters to split-band voice coding schemes

Language:

Format:

Source: ??? - ICASSP ’77, IEEE Internat. Conf. on Acoustics, Speech, and Signal Processing, 2, April 1977, 191–195.

Author: M. J. T. Smith and T. P. Barnwell III

Title: A procedure for designing exact reconstruction filter banks for tree structured subband coders

Language:

Format:

Source: ??? - ICASSP ’84, IEEE Internat. Conf. on Acoustics, Speech, and Signal Processing, 9, March 1984, 421–424.

Author: Fred Mintzer

Title: Filters for distortion-free two-band multirate filter banks

Language:

Format:

Source: ??? - IEEE Trans. Acoust., Speech, and Signal Proc., 33 (1985), 626–630.

Author: Martin Vetterli

Title: Filter banks allowing perfect reconstruction

Language: English

Format: pdf

Source: Infoscience - Signal Processing, 10 (1986), 219–244.

Author: P. P. Vaidyanathan

Title: Theory and design of M-channel maximally decimated quadrature mirror filters with arbitrary M , having the perfect reconstruction property

Language:

Format:

Source: ??? - IEEE Trans. Acoust., Speech, and Signal Proc., 35 (1987), 476–492.

Author: Erik W. Aslaksen and John R. Klauder

Title: Continuous representation theory using the affine group

Language:

Format:

Source: ??? - J. Math. Physics, 10 (1969), 2267–2275.

Author: A. Grossmann, and J. Morlet

Title: Decomposition of Hardy functions into square integrable wavelets of constant shape

Language: English

Format: pdf

Source: Universität Wien - SIAM J. Math. Anal. 15 (1984), 723–736.

Author: A. Grossmann, J. Morlet, and T. Paul

Title: Transforms associated to square integrable group representations I

Language: English

Format: pdf

Source: Numdam - J. Math. Physics, 26 (1985), 2473–2479.

Author: Alfred Haar

Title: Zur Theorie der orthogonalen Funktionensysteme [On the theory of orthogonal function systems]

Language: German, English

Format: pdf

Source: Springerlink - German: Mathematische Annalen, 69 (1910), 331–371. Translated by Georg Zimmermann.

Source: Laurent Duval - English

Author: Philip Franklin

Title: A set of continuous orthogonal functions

Language: English

Format: pdf

Source: Springerlink - Mathematische Annalen, 100 (1928), 522–529.

Author: Jan-Olov Strömberg

Title: A modified Franklin system and higher-order spline systems on Rn as unconditional bases for Hardy spaces

Language:

Format:

Source: ??? - Conf. on Harmonic Analysis in Honor of A. Zygmund, Vol. II, W. Beckner et al., eds., Wadsworth (Belmont, CA), (1983), 475–494.

Author: Yves Meyer

Title: Principe d’incertitude, bases hilbertiennes et algebres d’operateurs [Uncertainty principle, Hilbert bases, and algebras of operators]

Language: French

Format: pdf

Source: Numdam - Seminaire Bourbaki, 1985/86. Asterisque No. 145-146 (1987), 209–223.

Author: P. G. Lemari ́ and Y. Meyer

Title: Ondelettes et bases hilbertiennes [Wavelets and Hilbert bases]

Language:

Format:

Source: ??? - Revista Matematica Iberoamericana, 2 (1986), 1–18. Translated by John Horváth.

Author: Guy Battle

Title: A block spin construction of ondelettes I

Language: English

Format: pdf

Source: SpringerLink - Communications in Math. Physics, 110 (1987), 601–615.

Source part II: SpringerLink

Precursors and Development in Mathematics: Atom and Frame Decompositions

Author: R. J. Duffin and A. C. Schaeffer

Title: A class of nonharmonic Fourier series

Language: English

Format: pdf

Source: Tel Aviv University - Trans. Amer. Math. Soc., 72 (1952), 341–365.

Author: Ronald R. Coifman and Guido Weiss

Title: Extensions of Hardy spaces and their use in analysis

Language: English

Format: pdf

Source: American Mathematical Society - Bull. Amer. Math. Soc., 83 (1977), 569–645.

Author: Ingrid Daubechies, A. Grossmann, and Y. Meyer

Title: Painless nonorthogonal expansions

Language:

Format:

Source: ??? - J. Math. Physics, 27 (1986), 1271–1283.

Author: Michael Frazier and Björn Jawerth

Title: Decompositions of Besov spaces

Language:

Format:

Source: ??? - Indiana Univ. Math. J., 34 (1985), 777–799.

Author: Hans G. Feichtinger and K. H. Gröchenig

Title: Banach spaces related to integrable group representations and their atomic decompositions I

Language: English

Format: pdf

Source: Universität Wien - J. Funct. Anal., 86 (1989), 307–340.

Source part II: Universität Wien

Author: Ingrid Daubechies

Title: The wavelet transform, time-frequency localization and signal analysis

Language:

Format:

Source: ??? - IEEE Trans. Inform. Theory, 39 (1990), 961–1005.

Author: Stephane G. Mallat

Title: A theory for multiresolution signal decomposition: The wavelet representation

Language:

Format: pdf, ps

Source 1: Gloria Menegaz @ Università degli Studi di Siena- IEEE Trans. Pattern Anal. Machine Intell., 11 (1989), 674–693.

Source 2: New York University

Author: Yves Meyer

Title: Wavelets with compact support

Language:

Format:

Source: ??? - Zygmund Lectures, U. Chicago (1987).

Author: Stephane G. Mallat

Title: Multiresolution approximations and wavelet orthonormal bases for L

Language:

Format:

Source: Centre de Mathématiques Appliquées de l'Ecole Polytechnique - Trans. Amer. Math. Soc., 315 (1989), 69–87.

Author: A. Cohen

Title: Ondelettes, analyses multirésolutions et filtres miroirs en quadrature [Wavelets, multiresolution analysis, and quadrature mirror filters]

Language: French

Format: pdf

Source: Numdam - Ann. Inst. H. Poincar ́, Anal. Non Lin ́aire, 7 (1990), 439–459. Translated by Robert D. Ryan

Author: Wayne M. Lawton

Title: Tight frames of compactly supported affine wavelets

Language:

Format:

Source: ??? - J. Math. Phys., 31 (1990), 1898–1901.

Author: Ingrid Daubechies

Title: Orthonormal bases of compactly supported wavelets

Language:

Format:

Source: ??? - Comm. Pure Appl. Math., 41 (1988), 909–996.

Author: Yves Meyer

Title: Ondelettes, fonctions splines et analyses graduées [Wavelets, spline functions, and multiresolution analysis]

Language: French

Format: pdf

Source: Università e Politecnico di Torino - Rend. Sem. Mat. Univ. Politec. Torino, 45 (1987), 1–42. Translated by John Horváth

Author: Karlheinz Gröchenig

Title: Analyse multi-échelle et bases d’ondelettes [Multiscale analyses and wavelet bases]

Language:

Format:

Source: ??? - C. R. Acad. Sci. Paris Série I, 305 (1987), 13–17. Translated by Robert D. Ryan.

Author: Jelena Kovačevič and Martin Vetterli

Title: Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for R

Language:

Format:

Source: ??? - IEEE Trans. Inform. Theory, 38 (1992), 533–555.

Author: K. Gröchenig and W. R. Madych

Title: Multiresolution analysis, Haar bases and self-similar tilings of R

Language:

Format:

Source: ??? - IEEE Trans. Inform. Theory, 38 (1992), 556–568.

Author: G. Beylkin, R. Coifman, and V. Rokhlin

Title: Fast wavelet transforms and numerical algorithms, I

Language:

Format:

Source 1: University of Colorado at Boulder - Comm. Pure Appl. Math., 44 (1991), 141–183.

Source 2: University of Michigan

Source 3: California Institute of Technology

Author: Ronald A. DeVore, Björn Jawerth, Vasil Popov

Title: Compression of wavelet decompositions

Language:

Format:

Source: ??? - Amer. J. Math., 114 (1992), 737–785.

Author: David L. Donoho and Iain M. Johnstone

Title: Adapting to unknown smoothness by wavelet shrinkage

Language:

Format:

Source: ??? - J. Amer. Statist. Assoc., 90 (1995), 1200–1224.

Author: Stéphane Jaffard

Title: Exposants de Hölder en des points donnés et coéfficients d’ondelettes [Hölder exponents at given points and wavelet coefficients]

Language:

Format:

Source: ??? - C. R. Acad. Sci. Paris Série I, 308 (1989), 79–81. Translated by Robert D. Ryan.

Author: Jerome M. Shapiro

Title: Embedded image coding using zerotrees of wavelet coefficients

Language:

Format:

Source 1: Stanford University - IEEE Trans. Signal Processing, 41 (1993), 3445–3462.

Source 2: Tampereen teknillinen yliopisto

---------------

Per Sjölin and Jan-Olov Strömberg

Spline systems as bases in Hardy spaces

papersincomputerscience.org

---------------

1. Fundamental papers in wavelet theory

Precursors in Signal Processing

Author: Peter J. Burt and Edward H. Adelson

Title: The Laplacian pyramid as a compact image code

Language: English

Format: pdf

Source: CiteSeerX - IEEE Trans. Commun., 31 (1983), 532–540.

Author: R. E. Crochiere, S. A. Webber, and J. L. Flanagan

Title: Digital coding of speech in subbands

Language:

Format:

Source: ??? - Bell System Technical J., 55 (1976), 1069–1085.

Author: D. Esteban and C. Galand

Title: Application of quadrature mirror filters to split-band voice coding schemes

Language:

Format:

Source: ??? - ICASSP ’77, IEEE Internat. Conf. on Acoustics, Speech, and Signal Processing, 2, April 1977, 191–195.

Author: M. J. T. Smith and T. P. Barnwell III

Title: A procedure for designing exact reconstruction filter banks for tree structured subband coders

Language:

Format:

Source: ??? - ICASSP ’84, IEEE Internat. Conf. on Acoustics, Speech, and Signal Processing, 9, March 1984, 421–424.

Author: Fred Mintzer

Title: Filters for distortion-free two-band multirate filter banks

Language:

Format:

Source: ??? - IEEE Trans. Acoust., Speech, and Signal Proc., 33 (1985), 626–630.

Author: Martin Vetterli

Title: Filter banks allowing perfect reconstruction

Language: English

Format: pdf

Source: Infoscience - Signal Processing, 10 (1986), 219–244.

Author: P. P. Vaidyanathan

Title: Theory and design of M-channel maximally decimated quadrature mirror filters with arbitrary M , having the perfect reconstruction property

Language:

Format:

Source: ??? - IEEE Trans. Acoust., Speech, and Signal Proc., 35 (1987), 476–492.

Precursors in Physics: Affine Coherent States

Author: Erik W. Aslaksen and John R. Klauder

Title: Continuous representation theory using the affine group

Language:

Format:

Source: ??? - J. Math. Physics, 10 (1969), 2267–2275.

Author: A. Grossmann, and J. Morlet

Title: Decomposition of Hardy functions into square integrable wavelets of constant shape

Language: English

Format: pdf

Source: Universität Wien - SIAM J. Math. Anal. 15 (1984), 723–736.

Author: A. Grossmann, J. Morlet, and T. Paul

Title: Transforms associated to square integrable group representations I

Language: English

Format: pdf

Source: Numdam - J. Math. Physics, 26 (1985), 2473–2479.

Precursors in Mathematics: Early Wavelet Bases

Author: Alfred Haar

Title: Zur Theorie der orthogonalen Funktionensysteme [On the theory of orthogonal function systems]

Language: German, English

Format: pdf

Source: Springerlink - German: Mathematische Annalen, 69 (1910), 331–371. Translated by Georg Zimmermann.

Source: Laurent Duval - English

Author: Philip Franklin

Title: A set of continuous orthogonal functions

Language: English

Format: pdf

Source: Springerlink - Mathematische Annalen, 100 (1928), 522–529.

Author: Jan-Olov Strömberg

Title: A modified Franklin system and higher-order spline systems on Rn as unconditional bases for Hardy spaces

Language:

Format:

Source: ??? - Conf. on Harmonic Analysis in Honor of A. Zygmund, Vol. II, W. Beckner et al., eds., Wadsworth (Belmont, CA), (1983), 475–494.

Author: Yves Meyer

Title: Principe d’incertitude, bases hilbertiennes et algebres d’operateurs [Uncertainty principle, Hilbert bases, and algebras of operators]

Language: French

Format: pdf

Source: Numdam - Seminaire Bourbaki, 1985/86. Asterisque No. 145-146 (1987), 209–223.

Author: P. G. Lemari ́ and Y. Meyer

Title: Ondelettes et bases hilbertiennes [Wavelets and Hilbert bases]

Language:

Format:

Source: ??? - Revista Matematica Iberoamericana, 2 (1986), 1–18. Translated by John Horváth.

Author: Guy Battle

Title: A block spin construction of ondelettes I

Language: English

Format: pdf

Source: SpringerLink - Communications in Math. Physics, 110 (1987), 601–615.

Source part II: SpringerLink

Precursors and Development in Mathematics: Atom and Frame Decompositions

Author: R. J. Duffin and A. C. Schaeffer

Title: A class of nonharmonic Fourier series

Language: English

Format: pdf

Source: Tel Aviv University - Trans. Amer. Math. Soc., 72 (1952), 341–365.

Author: Ronald R. Coifman and Guido Weiss

Title: Extensions of Hardy spaces and their use in analysis

Language: English

Format: pdf

Source: American Mathematical Society - Bull. Amer. Math. Soc., 83 (1977), 569–645.

Author: Ingrid Daubechies, A. Grossmann, and Y. Meyer

Title: Painless nonorthogonal expansions

Language:

Format:

Source: ??? - J. Math. Physics, 27 (1986), 1271–1283.

Author: Michael Frazier and Björn Jawerth

Title: Decompositions of Besov spaces

Language:

Format:

Source: ??? - Indiana Univ. Math. J., 34 (1985), 777–799.

Author: Hans G. Feichtinger and K. H. Gröchenig

Title: Banach spaces related to integrable group representations and their atomic decompositions I

Language: English

Format: pdf

Source: Universität Wien - J. Funct. Anal., 86 (1989), 307–340.

Source part II: Universität Wien

Author: Ingrid Daubechies

Title: The wavelet transform, time-frequency localization and signal analysis

Language:

Format:

Source: ??? - IEEE Trans. Inform. Theory, 39 (1990), 961–1005.

Multiresolution Analysis

Author: Stephane G. Mallat

Title: A theory for multiresolution signal decomposition: The wavelet representation

Language:

Format: pdf, ps

Source 1: Gloria Menegaz @ Università degli Studi di Siena- IEEE Trans. Pattern Anal. Machine Intell., 11 (1989), 674–693.

Source 2: New York University

Author: Yves Meyer

Title: Wavelets with compact support

Language:

Format:

Source: ??? - Zygmund Lectures, U. Chicago (1987).

Author: Stephane G. Mallat

Title: Multiresolution approximations and wavelet orthonormal bases for L

^{2}(R)Language:

Format:

Source: Centre de Mathématiques Appliquées de l'Ecole Polytechnique - Trans. Amer. Math. Soc., 315 (1989), 69–87.

Author: A. Cohen

Title: Ondelettes, analyses multirésolutions et filtres miroirs en quadrature [Wavelets, multiresolution analysis, and quadrature mirror filters]

Language: French

Format: pdf

Source: Numdam - Ann. Inst. H. Poincar ́, Anal. Non Lin ́aire, 7 (1990), 439–459. Translated by Robert D. Ryan

Author: Wayne M. Lawton

Title: Tight frames of compactly supported affine wavelets

Language:

Format:

Source: ??? - J. Math. Phys., 31 (1990), 1898–1901.

Author: Ingrid Daubechies

Title: Orthonormal bases of compactly supported wavelets

Language:

Format:

Source: ??? - Comm. Pure Appl. Math., 41 (1988), 909–996.

Multidimensional Wavelets

Author: Yves Meyer

Title: Ondelettes, fonctions splines et analyses graduées [Wavelets, spline functions, and multiresolution analysis]

Language: French

Format: pdf

Source: Università e Politecnico di Torino - Rend. Sem. Mat. Univ. Politec. Torino, 45 (1987), 1–42. Translated by John Horváth

Author: Karlheinz Gröchenig

Title: Analyse multi-échelle et bases d’ondelettes [Multiscale analyses and wavelet bases]

Language:

Format:

Source: ??? - C. R. Acad. Sci. Paris Série I, 305 (1987), 13–17. Translated by Robert D. Ryan.

Author: Jelena Kovačevič and Martin Vetterli

Title: Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for R

^{n}Language:

Format:

Source: ??? - IEEE Trans. Inform. Theory, 38 (1992), 533–555.

Author: K. Gröchenig and W. R. Madych

Title: Multiresolution analysis, Haar bases and self-similar tilings of R

^{n}Language:

Format:

Source: ??? - IEEE Trans. Inform. Theory, 38 (1992), 556–568.

Applications

Author: G. Beylkin, R. Coifman, and V. Rokhlin

Title: Fast wavelet transforms and numerical algorithms, I

Language:

Format:

Source 1: University of Colorado at Boulder - Comm. Pure Appl. Math., 44 (1991), 141–183.

Source 2: University of Michigan

Source 3: California Institute of Technology

Author: Ronald A. DeVore, Björn Jawerth, Vasil Popov

Title: Compression of wavelet decompositions

Language:

Format:

Source: ??? - Amer. J. Math., 114 (1992), 737–785.

Author: David L. Donoho and Iain M. Johnstone

Title: Adapting to unknown smoothness by wavelet shrinkage

Language:

Format:

Source: ??? - J. Amer. Statist. Assoc., 90 (1995), 1200–1224.

Author: Stéphane Jaffard

Title: Exposants de Hölder en des points donnés et coéfficients d’ondelettes [Hölder exponents at given points and wavelet coefficients]

Language:

Format:

Source: ??? - C. R. Acad. Sci. Paris Série I, 308 (1989), 79–81. Translated by Robert D. Ryan.

Author: Jerome M. Shapiro

Title: Embedded image coding using zerotrees of wavelet coefficients

Language:

Format:

Source 1: Stanford University - IEEE Trans. Signal Processing, 41 (1993), 3445–3462.

Source 2: Tampereen teknillinen yliopisto

---------------

Per Sjölin and Jan-Olov Strömberg

Spline systems as bases in Hardy spaces

papersincomputerscience.org

---------------

1. Fundamental papers in wavelet theory