Results 261 to 270 of about 84,910 (313)

ON CONVOLUTION FOR WAVELET TRANSFORM

International Journal of Wavelets, Multiresolution and Information Processing, 2008
A basic function D(x,y,z) associated with the general wavelet transform is defined and its properties are investigated. Using D(x,y,z) associated with the wavelet transform, translation and convolution for this transform are defined and certain existence theorems are proved. An approximation theorem involving wavelet convolution is also proved.
Ram Shankar Pathak, Ashish Pathak
openaire   +2 more sources

Wavelet Transform of Multifractals

Physical Review Letters, 1988
no ...
Arneodo, A., Grasseau, G., Holschneider, M.   +2 more
openaire   +2 more sources

On the Wavelet Transform for Boehmians

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2021
In this paper, the wavelet transform for Boehmians is investigated by applying the theory of wavelet convolution associated with Fourier convolution. Operational properties are also discussed.
Singh, Abhishek, Rawat, Aparna, Singh, Shubha, Banerji, P. K.   +3 more
openaire   +1 more source

On Sampling Theorem, Wavelets and Wavelet Transforms

Proceedings. IEEE International Symposium on Information Theory, 1993
Summary: The classical Shannon sampling theorem has resulted in many applications and generalizations. From a multiresolution point of view, it provides the sinc scaling function. In this case, for a band-limited signal, its wavelet series transform (WST) coefficients below a certain resolution level can be exactly obtained from the samples with a ...
Xiang-Gen Xia 0001, Zhen Zhang 0010
openaire   +1 more source

Fractional wavelet transform

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, Z, Zalevsky, D, Mas, J, García, C, Ferreira   +4 more
openaire   +2 more sources

Symplectic wavelet transformation

Optics Letters, 2006
Usually 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
openaire   +2 more sources

Distributional Wavelet Transform

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pathak, R. S., Singh, Abhishek
openaire   +1 more source

Wavelets and Wavelet Transform

2017
Wavelet 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
openaire   +1 more source

Discrete Wavelets and Fast Wavelet Transform

1991
The 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
openaire   +2 more sources

Wavelet transform for Fresnel-transformed mother wavelets

Chinese Physics B, 2011
In 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
openaire   +1 more source