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New Method of Impact Localization on Plate-like Structures Using Deep Learning and Wavelet Transform. [PDF]
Migot A, Saaudi A, Giurgiutiu V.
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The Evolution of the Linkage Among Geopolitical Risk, the US Dollar Index, Crude Oil Prices, and Gold Prices at Multiple Scales: A Wavelet Transform-Based Dynamic Transfer Entropy Network Method. [PDF]
Yang H, An S, Dong Z, Dong X.
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Applied Optics, 1997
The wavelet transform, which has had a growing importance in signal and image processing, has been generalized by association with both the wavelet transform and the fractional Fourier transform. Possible implementations of the new transformation are in image compression, image transmission, transient signal processing, etc.
D, Mendlovic +4 more
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The wavelet transform, which has had a growing importance in signal and image processing, has been generalized by association with both the wavelet transform and the fractional Fourier transform. Possible implementations of the new transformation are in image compression, image transmission, transient signal processing, etc.
D, Mendlovic +4 more
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Symplectic wavelet transformation
Optics Letters, 2006Usually a wavelet transform is based on dilated-translated wavelets. We propose a symplectic-transformed-translated wavelet family psi(*)(r,s)(z-kappa) (r,s are the symplectic transform parameters, |s|(2)-|r|(2)=1, kappa is a translation parameter) generated from the mother wavelet psi and the corresponding wavelet transformation W(psi)f(r,s;kappa ...
Hong-Yi, Fan, Hai-Liang, Lu
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Distributional Wavelet Transform
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pathak, R. S., Singh, Abhishek
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Wavelet Transform of Multifractals
Physical Review Letters, 1988no ...
Arneodo, A. +2 more
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Wavelet transform for Fresnel-transformed mother wavelets
Chinese Physics B, 2011In this paper, we propose the so-called continuous Fresnel-wavelet combinatorial transform which means that the mother wavelet undergoes the Fresnel transformation. This motivation can let the mother-wavelet-state itself vary from |〉 to F†r,s|〉, except for variation within the family of dilations and translations. The Parseval's equality, admissibility
Shu-Guang Liu, Jun-Hua Chen, Hong-Yi Fan
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International Journal of Geometric Methods in Modern Physics, 2006
We introduce the notion of extended wavelet transform for locally compact topological groups that are semidirect products with abelian normal factor, and we study its main properties. In particular, we show that this notion allows to define a weak wavelet transform — enjoying 'essentially' the same properties as a standard wavelet transform ...
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We introduce the notion of extended wavelet transform for locally compact topological groups that are semidirect products with abelian normal factor, and we study its main properties. In particular, we show that this notion allows to define a weak wavelet transform — enjoying 'essentially' the same properties as a standard wavelet transform ...
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Wavelets and Wavelet Transform
2017Wavelet transforms are the most powerful and the most widely used tool in the field of image processing. Wavelet transform has received considerable attention in the field of image processing due to its flexibility in representing non-stationary image signals and its ability in adapting to human visual characteristics. Wavelet transform is an efficient
Aparna Vyas, Soohwan Yu, Joonki Paik
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Discrete Wavelets and Fast Wavelet Transform
1991The wavelet analysis, introduced by J. MORLET and Y. MEYER in the middle of the eighties, is a processus of time-frequency (or time-scale) analysis which consists of decomposing a signal into a basis of functions (o jk ) called wavelets. These wavelets are in turn deduced from the analyzing wavelet o by dilatations and translations. More precisely:
Bonnet, Pierre, Rémond, Didier
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