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Abstract: The proportional-bandwidth and constant-bandwidth time-frequency signal decompositions of the wavelet, Gabor, and Wilson orthonormal bases have attracted substantial interest for representing nonstationary signals. However, these representations are limited in that they are based on rectangular tessellations of the time-frequency plane. While much effort has gone into methods for designing nice wavelet and window functions for these frameworks, little consideration has been given to... (Update)
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BibTeX entry: (Update)
@misc{ bases-shear,
author = "New Orthonormal Bases",
title = "Shear Madness:",
url = "citeseer.ist.psu.edu/767232.html" }
Citations (may not include all citations):770 Orthonormal bases of compactly supported wavelets (context) - Daubechies - 1988
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83 Continuous and discrete wavelet transforms - Heil, Walnut - 1989
72 The wavelet transform, time-frequency localization and signa.. (context) - Daubechies - 1990
55 Simple regularity criteria for subdivision schemes - Rioul - 1992
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43 Unitary equivalence: A new twist on signal processing - Baraniuk, Jones - 1993
18 Warped wavelet bases: Unitary equivalence and signal process.. - Baraniuk, Jones - 1993
14 Shear madness: Signal-dependent and metaplectic time-frequen.. (context) - Baraniuk - 1992
9 Double series representation of bounded signals (context) - Jensen, Hholdt et al. - 1988
9 Un principe d'incertitude fort en th'eorie du signal on en m.. (context) - Balian - 1981
9 New dimensions in wavelet analysis - Baraniuk, Jones - 1992
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7 Heisenberg proof of the Balian-Low theorem (context) - Battle - 1988
7 A simple Wilson basis with exponential decay (context) - Daubechies, Jaffard et al. - 1991
6 Computation of affine time-frequency distributions using the.. (context) - Ovarlez, Bertrand et al. - 1992
5 Discrete Mellin transform for signal analysis (context) - Bertrand, Bertrand et al. - 1990
3 Simple, optimal regularity estimates for wavelets (context) - Rioul - 1991
2 Truncated sampling for the Fourier-Mellin transform with app.. (context) - Allen - 1990
2 Banach spaces related to square integrable group representat.. (context) - Feichtinger, Grochenig - 1989
2 Poisson summation, the ambiguity function, and the theory of.. (context) - Tolimieri, Orr
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