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CrochiereRabiner1983

Author
Ronald E. Crochiere and Lawrence R. Rabiner
Title
Multirate Digital Signal Processing
Publisher
Prentice Hall
Address
Englewood Cliffs, New Jersey
Year
1983

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Vaidyanathan1993

Author
P. P. Vaidyanathan
Title
Multirate Systems and Filter Banks
Publisher
Prentice Hall
Address
Englewood Cliffs, New Jersey
Year
1993

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VetterliKovacevic1995

Author
Martin Vetterli and Jelena Kova\vcević
Title
Wavelets and Subband Coding
Publisher
Prentice Hall
Address
Englewood Cliffs, New Jersey
Year
1995

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Cited in this paper (1 passage)

StrangNguyen1996

Author
Gilbert Strang and Truong Nguyen
Title
Wavelets and Filter Banks
Publisher
Wellesley Cambridge Press
Address
Wellesley, Massachusetts
Year
1996

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Cited in this paper (1 passage)

Daubechies1992

Author
Ingrid Daubechies
Title
Ten Lectures on Wavelets
Series
CBMS NSF Regional Conference Series in Applied Mathematics
Volume
61
Publisher
Society for Industrial and Applied Mathematics
Address
Philadelphia
Year
1992

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Mallat2009

Author
Stéphane Mallat
Title
A Wavelet Tour of Signal Processing
Edition
Third
Publisher
Academic Press
Address
Burlington, Massachusetts
Year
2009

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CohenDaubechiesFeauveau1992

Author
Albert Cohen and Ingrid Daubechies and Jean Christophe Feauveau
Title
Biorthogonal bases of compactly supported wavelets
Journal
Communications on Pure and Applied Mathematics
Volume
45
Number
5
Pages
485\textendash560
Year
1992
Doi
10.1002/cpa.3160450502

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Sweldens1996

Author
Wim Sweldens
Title
The lifting scheme: A custom design construction of biorthogonal wavelets
Journal
Applied and Computational Harmonic Analysis
Volume
3
Number
2
Pages
186\textendash200
Year
1996
Doi
10.1006/acha.1996.0015

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DaubechiesSweldens1998

Author
Ingrid Daubechies and Wim Sweldens
Title
Factoring wavelet transforms into lifting steps
Journal
Journal of Fourier Analysis and Applications
Volume
4
Number
3
Pages
247\textendash269
Year
1998
Doi
10.1007/BF02476026

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CoifmanWickerhauser1992

Author
Ronald R. Coifman and Mladen Victor Wickerhauser
Title
Entropy based algorithms for best basis selection
Journal
IEEE Transactions on Information Theory
Volume
38
Number
2
Pages
713\textendash718
Year
1992
Doi
10.1109/18.119732

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MallatHwang1992

Author
Stéphane Mallat and Wen Liang Hwang
Title
Singularity detection and processing with wavelets
Journal
IEEE Transactions on Information Theory
Volume
38
Number
2
Pages
617\textendash643
Year
1992
Doi
10.1109/18.119727

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GottliebShu1997

Author
David Gottlieb and Chi-Wang Shu
Title
On the Gibbs phenomenon and its resolution
Journal
SIAM Review
Volume
39
Number
4
Pages
644\textendash668
Year
1997
Doi
10.1137/S0036144596301390

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DeVore1998

Author
Ronald A. DeVore
Title
Nonlinear approximation
Journal
Acta Numerica
Volume
7
Pages
51\textendash150
Year
1998
Doi
10.1017/S0962492900002816

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Donoho1999

Author
David L. Donoho
Title
Wedgelets: Nearly minimax estimation of edges
Journal
The Annals of Statistics
Volume
27
Number
3
Pages
859\textendash897
Year
1999
Doi
10.1214/aos/1018031261

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CandesDonoho2004

Author
Emmanuel J. Candès and David L. Donoho
Title
New tight frames of curvelets and optimal representations of objects with piecewise smooth singularities
Journal
Communications on Pure and Applied Mathematics
Volume
57
Number
2
Pages
219\textendash266
Year
2004
Doi
10.1002/cpa.10116

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Cited in this paper (3 passages)

AmbrosioFuscoPallara2000

Author
Luigi Ambrosio and Nicola Fusco and Diego Pallara
Title
Functions of Bounded Variation and Free Discontinuity Problems
Publisher
Oxford University Press
Address
Oxford
Year
2000

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Zygmund2002

Author
Antoni Zygmund
Title
Trigonometric Series
Edition
Third
Publisher
Cambridge University Press
Address
Cambridge
Year
2002

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Smith1969

Author
Phillip H. Smith
Title
Electronic Applications of the Smith Chart
Publisher
McGraw Hill
Address
New York
Year
1969

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DLMFGibbs

Author
National Institute of Standards and Technology
Title
NIST Digital Library of Mathematical Functions, Section 6.16(i): The Gibbs Phenomenon
Year
2026
Howpublished
\urlhttps://dlmf.nist.gov/6.16.i
Note
Version 1.2.8, released 15 September 2026. Equations 6.16.1–6.16.4. Accessed 20 October 2026

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